From 7a05bd7ae134334f6478d2b5efcce1473b0b5873 Mon Sep 17 00:00:00 2001 From: Walter Dal'Maz Silva Date: Tue, 14 May 2024 19:29:46 +0200 Subject: [PATCH] Added gmsh tutorials --- apps/Gmsh/README.md | 93 + apps/Gmsh/project1/ex01-boundary-layer.geo | 54 + apps/Gmsh/project1/ex02-internal-flaps.geo | 127 + apps/Gmsh/project1/ex02-internal-flaps.msh | 42349 +++++++++++++++++++ apps/Gmsh/project1/geometry.geo | 336 + apps/Gmsh/shared/t13_data.stl | 11062 +++++ apps/Gmsh/shared/t1_mini.geo | 16 + apps/Gmsh/shared/t7_attractors.geo | 35 + apps/Gmsh/shared/t7_bgmesh.pos | 1399 + apps/Gmsh/shared/view1.pos | 1287 + apps/Gmsh/shared/view3.pos | 2516 ++ apps/Gmsh/shared/view4.pos | 120 + apps/Gmsh/t1.geo | 63 + apps/Gmsh/t10.geo | 114 + apps/Gmsh/t11.geo | 40 + apps/Gmsh/t12.geo | 73 + apps/Gmsh/t2.geo | 90 + apps/Gmsh/t3.geo | 46 + apps/Gmsh/t4.geo | 137 + apps/Gmsh/t5.geo | 135 + apps/Gmsh/t6.geo | 84 + apps/Gmsh/t7.geo | 23 + apps/Gmsh/t8.geo | 104 + apps/Gmsh/t9.geo | 51 + 24 files changed, 60354 insertions(+) create mode 100644 apps/Gmsh/README.md create mode 100644 apps/Gmsh/project1/ex01-boundary-layer.geo create mode 100644 apps/Gmsh/project1/ex02-internal-flaps.geo create mode 100644 apps/Gmsh/project1/ex02-internal-flaps.msh create mode 100644 apps/Gmsh/project1/geometry.geo create mode 100644 apps/Gmsh/shared/t13_data.stl create mode 100644 apps/Gmsh/shared/t1_mini.geo create mode 100644 apps/Gmsh/shared/t7_attractors.geo create mode 100644 apps/Gmsh/shared/t7_bgmesh.pos create mode 100644 apps/Gmsh/shared/view1.pos create mode 100644 apps/Gmsh/shared/view3.pos create mode 100644 apps/Gmsh/shared/view4.pos create mode 100644 apps/Gmsh/t1.geo create mode 100644 apps/Gmsh/t10.geo create mode 100644 apps/Gmsh/t11.geo create mode 100644 apps/Gmsh/t12.geo create mode 100644 apps/Gmsh/t2.geo create mode 100644 apps/Gmsh/t3.geo create mode 100644 apps/Gmsh/t4.geo create mode 100644 apps/Gmsh/t5.geo create mode 100644 apps/Gmsh/t6.geo create mode 100644 apps/Gmsh/t7.geo create mode 100644 apps/Gmsh/t8.geo create mode 100644 apps/Gmsh/t9.geo diff --git a/apps/Gmsh/README.md b/apps/Gmsh/README.md new file mode 100644 index 000000000..732e52d65 --- /dev/null +++ b/apps/Gmsh/README.md @@ -0,0 +1,93 @@ +# Gmsh + +The original files were copied from `share/doc/gmsh/tutorials` directory from +Gmsh installation directory. During the course of the tutorials I have edited +and most likely cleaned-up/minified the files because that is part of my +learning methodology. + +## Topics + +1. [Geometry basics, elementary entities, physical groups](t1.geo) + +1. [Transformations, extruded geometries, volumes](t2.geo) + - Getting coordinates of points + - How to export an unrolled geometry file + +1. [Extruded meshes, ONELAB parameters, options](t3.geo) + - Extrusion with default kernel is limited to `Pi` radians + - OpenCASCADE kernel allows for any size of rotation + - Defining constants with ONELAB + - ONELAB parameters can be overridden through CLI `-setnumber ` + - Setting general parameters in scripts + +1. [Built-in functions, holes in surfaces, annotations, entity colors](t4.geo) + - As for rotation, circle arcs are also limited in default kernel + - A surface with `N` holes needs `N+1` curve loops to be defined + - The first curve loop defines the external shell of the surface + - A `View` can be created for annotations, *i.e.* for presentations + - Click capture may be useful for getting surfaces in complex geometries + +1. [Mesh sizes, macros, loops, holes in volumes](t5.geo) + - Scaling of all mesh dimensions can be done with `-clscale ` + +1. [Transfinite meshes, deleting entities](t6.geo) + - Use `Delete` for removing `Surface` and `Curve` entities + - With `Transfinite Curve` specify the number of grid points over a curve + - Transfinite of more than 4 points need 4 corners to be provided manually + - Use `Mesh.Smoothing` to apply smoothing for a more regular mesh + +1. [Background meshes](t7.geo) + - Mesh sizes can be specified accurately by providing a background mesh + - Background meshes *BM* are composed, *e.g* of scalar triangles `ST` + - If the *BM* is based on an actual mesh, create `NewModel` (see comment) + +1. [Post-processing, image export and animations](t8.geo) + - In Gmsh a `View` is a post-processing dataset maniputation + - For large datasets do not use *parsed* format, but MSH instead + - Text in 2D and 3D are created with `T2` and `T3` (also see t4.geo) + - It is possible to export animations directly from *time steps* + +1. [Plugins](t9.geo) + - Interesting maniputation but need to check how to get any data + +1. [Mesh size fields](t10.geo) + - Combining `Distance` and `Threshold` we can refine mesh near features + - Using `Mesh.Algorithm = 5;` is recommended for complex gradients of mesh + +1. [Unstructured quadrangular meshes](t11.geo) + - Recombination of all surfaces with `Recombine Surface {:};` + - Alternativelly one can use `Mesh.RecombineAll` flag + - `Mesh.Algorithm = 8;` allows mostly right triangles + - Algorithm can be controlled through `Mesh.RecombinationAlgorithm` + +1. [Cross-patch meshing with compounds](t12.geo) + - Curves and surfaces can be enforced to be meshed as a whole. + - Limited to simple shapes, for more complex the next see the tutorials. + +1. [Remeshing an STL file without an underlying CAD model](t13.geo) + +1. [Homology and cohomology computation](t14.geo) + +1. [Embedded points, lines and surfaces](t15.geo) + +1. [Constructive Solid Geometry, OpenCASCADE geometry kernel](t16.geo) + +1. [Anisotropic background mesh](t17.geo) + +1. [Periodic meshes](t18.geo) + +1. [Thrusections, fillets, pipes, mesh size from curvature](t19.geo) + +1. [STEP import and manipulation, geometry partitioning](t20.geo) + +1. [Mesh partitioning](t21.geo) + +## Projects + +- [x] Conceive a reasonably complex mesh with boundary layers +- [ ] Use a STL file exported from external CAD/Blender for 3D meshing +- [ ] Create a progressive tutorial with all learned resources but for a fixed geometry + +## Useful links + +- [Tutorial by SAE Miller](https://www.youtube.com/playlist?list=PLbiOzt50Bx-l2QyX5ZBv9pgDtIei-CYs_) diff --git a/apps/Gmsh/project1/ex01-boundary-layer.geo b/apps/Gmsh/project1/ex01-boundary-layer.geo new file mode 100644 index 000000000..ceabb5a4b --- /dev/null +++ b/apps/Gmsh/project1/ex01-boundary-layer.geo @@ -0,0 +1,54 @@ +// Experimentation with boundary layer. +SetFactory("OpenCASCADE"); +General.Axes = 3; + +Point(1) = {0.00, 0.00, 0}; +Point(2) = {2.00, 0.20, 0}; +Point(3) = {2.00, 0.80, 0}; +Point(4) = {0.00, 1.00, 0}; + +Line(1) = {1, 2}; +Line(2) = {2, 3}; +Line(3) = {3, 4}; +Line(4) = {4, 1}; +Circle(5) = {0.5, 0.5, 0, 0.1, 0, 2*Pi}; + +Curve Loop(1) = {1, 2, 3, 4}; +Curve Loop(2) = {5}; +Plane Surface(1) = {1, 2}; + +Transfinite Curve {1, 3} = 30; +Transfinite Curve {2, 4} = 30; +Transfinite Curve {5} = 30; +Recombine Surface {1}; + +Field[0] = BoundaryLayer; +Field[0].CurvesList = {1, 3, 5}; +Field[0].PointsList = {1, 2, 3, 4}; +Field[0].AnisoMax = 1.0e+10; +Field[0].Quads = 1; +Field[0].IntersectMetrics = 1; +Field[0].Ratio = 1.2; +Field[0].Size = 0.005; +Field[0].SizeFar = 0.05; +Field[0].Thickness = 0.05; +BoundaryLayer Field = 0; + +Mesh.Algorithm = 8; +Mesh.MeshSizeMax = 0.05; +Mesh.MeshSizeFromPoints = 0; +Mesh.MeshSizeExtendFromBoundary = 1; +Mesh.MeshSizeFromCurvature = 0; +Mesh.Smoothing = 100; + +Mesh 2; +RefineMesh; + +// Other fields from BoundaryLayer: +// Field[0].Beta = 1.01; +// Field[0].BetaLaw = 0; +// Field[0].NbLayers = 5; +// Field[0].ExcludedSurfacesList = {}; +// Field[0].FanPointsList = {}; +// Field[0].FanPointsSizesList = {}; +// Field[0].SizesList = {}; diff --git a/apps/Gmsh/project1/ex02-internal-flaps.geo b/apps/Gmsh/project1/ex02-internal-flaps.geo new file mode 100644 index 000000000..e085c23d4 --- /dev/null +++ b/apps/Gmsh/project1/ex02-internal-flaps.geo @@ -0,0 +1,127 @@ +// Experimentation with internal flaps. +SetFactory("OpenCASCADE"); +General.Axes = 3; + +Point(1) = {0.00, 0.00, 0}; +Point(2) = {2.00, 0.25, 0}; +Point(3) = {2.00, 0.75, 0}; +Point(4) = {0.00, 1.00, 0}; + +Line(1) = {1, 2}; +Line(2) = {2, 3}; +Line(3) = {3, 4}; +Line(4) = {4, 1}; +Circle(5) = {0.5, 0.5, 0, 0.1, 0, 2*Pi}; + +c0 = newl; Curve Loop(c0) = {1, 2, 3, 4}; +c1 = newl; Curve Loop(c1) = {5}; +theloops[0] = c0; +theloops[1] = c1; + +FIRSTLAYER = 0.001; +MAXSIZE = 0.015; + +NEXTFIELD = 0; +NEXTFLAP = #theloops[]; + +Macro AddInternalFlap + // Arguments: + // - xc : (x, y) coordinates of central point [m] (0, 1) + // - dims : thickness, width [m] (2, 3) + // - angle : clockwise angle with horizontal [°] (4) + xc[] = {pars[0], pars[1]}; + dims[] = {pars[2], pars[3]}; + angle = pars[4]; + + theta = Pi/2 * (1 - angle/90); + gamma = Pi/2 - theta; + + reccord = 0.5 * Hypot(dims[0], dims[1]); + alpha = theta + Atan(dims[1] / dims[0]); + + x0[] = {xc[0] - reccord * Cos(alpha), xc[1] - reccord * Sin(alpha)}; + x1[] = {x0[0] + dims[0] * Cos(theta), x0[1] + dims[0] * Sin(theta)}; + x2[] = {x1[0] - dims[1] * Cos(gamma), x1[1] + dims[1] * Sin(gamma)}; + x3[] = {x2[0] - dims[0] * Cos(theta), x2[1] - dims[0] * Sin(theta)}; + + Printf("*** Flap No. %d", NEXTFLAP); + Printf("Center ---> (%.3f, %.3f)", xc[0], xc[1]); + Printf(" x0 ---> (%.3f, %.3f)", x0[0], x0[1]); + Printf(" x1 ---> (%.3f, %.3f)", x1[0], x1[1]); + Printf(" x2 ---> (%.3f, %.3f)", x2[0], x2[1]); + Printf(" x3 ---> (%.3f, %.3f)", x3[0], x3[1]); + + p0 = newp; Point(p0) = {x0[0], x0[1], 0}; + p1 = newp; Point(p1) = {x1[0], x1[1], 0}; + p2 = newp; Point(p2) = {x2[0], x2[1], 0}; + p3 = newp; Point(p3) = {x3[0], x3[1], 0}; + + l0 = newl; Line(l0) = {p0, p1}; + l1 = newl; Line(l1) = {p1, p2}; + l2 = newl; Line(l2) = {p2, p3}; + l3 = newl; Line(l3) = {p3, p0}; + + ck = newl; Curve Loop(ck) = {l0, l1, l2, l3}; + theloops[NEXTFLAP++] = ck; + + idf = NEXTFIELD++; + Field[idf] = BoundaryLayer; + Field[idf].CurvesList = {l0, l1, l2, l3}; + Field[idf].AnisoMax = 1.0e+10; + Field[idf].Quads = 1; + Field[idf].IntersectMetrics = 1; + Field[idf].Ratio = 1.2; + Field[idf].Size = 4*FIRSTLAYER; + Field[idf].SizeFar = MAXSIZE; + Field[idf].Thickness = 40*FIRSTLAYER; + + BoundaryLayer Field = idf+0; +Return + +pars[] = {1.0, 0.5, 0.1, 0.50, 90.0}; +Call AddInternalFlap; + +pars[] = {1.5, 0.5, 0.1, 0.40, 90.0}; +Call AddInternalFlap; + +Plane Surface(1) = {theloops[]}; + +Transfinite Curve {1, 3} = 90; +Transfinite Curve {2, 4} = 50; +Transfinite Curve {5} = 20; +Recombine Surface {1}; + +Field[666] = BoundaryLayer; +Field[666].CurvesList = {1, 3, 5}; +Field[666].PointsList = {1, 2, 3, 4}; +Field[666].AnisoMax = 1.0; +Field[666].Quads = 1; +Field[666].IntersectMetrics = 1; +Field[666].Ratio = 1.2; +Field[666].Size = FIRSTLAYER; +Field[666].SizeFar = MAXSIZE; +Field[666].Thickness = 60*FIRSTLAYER; +BoundaryLayer Field = 666; + +Extrude {0, 0, 0.1} { Surface{1}; Layers{1}; Recombine; } + +Physical Volume("volume") = {1}; +Physical Surface("frontAndBack") = {1, 15}; +Physical Surface("inlet") = {5}; +Physical Surface("outlet") = {3}; +Physical Surface("shell") = {2, 4}; +Physical Surface("cylinder") = {6}; +Physical Surface("flap1") = {7, 8, 9, 10}; +Physical Surface("flap2") = {11, 12, 13, 14}; + +Mesh.Algorithm = 8; +Mesh.MeshSizeMax = MAXSIZE; +Mesh.MeshSizeFromPoints = 0; +Mesh.MeshSizeExtendFromBoundary = 1; +Mesh.MeshSizeFromCurvature = 0; +Mesh.Smoothing = 100; +// Mesh.SaveAll = 1; +// Mesh.MshFileVersion = 2.2; +// Mesh 3; + +// Save "geometry.msh2"; diff --git a/apps/Gmsh/project1/ex02-internal-flaps.msh b/apps/Gmsh/project1/ex02-internal-flaps.msh new file mode 100644 index 000000000..ba3c82046 --- /dev/null +++ b/apps/Gmsh/project1/ex02-internal-flaps.msh @@ -0,0 +1,42349 @@ +$MeshFormat +2.2 0 8 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+General.BackgroundGradient = 0; +General.Color.Background = {220, 220, 240}; +General.Color.Foreground = White; +General.Color.Text = White; +General.Color.Axes = White; +General.Color.SmallAxes = White; +General.Axes = 0; +General.SmallAxes = 1; +Geometry.OldNewReg = 0; + +// ----------------------------------------------------------------------------- +// +// Shared parameters for project +// +// ----------------------------------------------------------------------------- + +// Box width [m]. +L = 2.0; + +// Box depth [m] +D = 4.0; + +// Coordinate of outlet first point on the left [m]. +d = 2.0; + +// Height of lower part of the box [m]. +hl = 0.75; + +// Height of upper part of the box [m]. +ht = 2.05; + +// Diameters of pipes [m]. +d0 = 0.75; // Air feed +d1 = 0.21; // First bottom extraction +d2 = 0.27; // Second bottom extraction + +// Equivalent length of pipe openings in 2D [m]. +e0 = Pi*d0^2/(4*L); +e1 = Pi*d1^2/(4*L); +e2 = Pi*d2^2/(4*L); + +// Plane perpendicular to air feed attack angle [rad]. +theta = Atan(1198/720); +cost = Cos(theta); +sint = Sin(theta); + +// Distance below feed after correcting diameter to equivalent length [m]. +df = 0.08 + 0.5*(d0-e0); + +// Thickness of fins [m]. +finthick = 0.010; + +// First cell thickness over shell [m] +shellbl = 0.003; + +// ----------------------------------------------------------------------------- +// +// Geometry of outer shell of system +// +// ----------------------------------------------------------------------------- + +// Origin in the lower-left corner of box. +p01 = newp; Point(p01) = {0, 0, 0}; + +// Base line with extraction points. +p02 = newp; Point(p02) = {1.038 - 0.5*e1, 0, 0}; +p03 = newp; Point(p03) = {1.038 + 0.5*e1, 0, 0}; +p04 = newp; Point(p04) = {3.010 - 0.5*e2, 0, 0}; +p05 = newp; Point(p05) = {3.010 + 0.5*e2, 0, 0}; + +// Last point of baseline is computed from angle and depth. +p06 = newp; Point(p06) = {D - hl/Tan(42*Pi/180), 0, 0}; + +// Wall at box depth. +p07 = newp; Point(p07) = {D, hl, 0}; +p08 = newp; Point(p08) = {D, hl+ht, 0}; + +// Outlet, outlet imbrication, and top wall. +p09 = newp; Point(p09) = {d, hl+ht, 0}; +p10 = newp; Point(p10) = {d, hl+ht-0.052, 0}; +p11 = newp; Point(p11) = {d-1.28, hl+1.198, 0}; + +// Particle feed requires some trigonometry... I hope not to need to recompute +// this otherwise a draft will be required to get the angles... +dy12 = df*sint + 0.5*cost + e0*sint; +p12 = newp; Point(p12) = {dy12/Tan(theta), hl+dy12, 0}; +p13 = newp; Point(p13) = {(df+e0)*cost-0.5*sint, hl+(df+e0)*sint + 0.5*cost, 0}; +p14 = newp; Point(p14) = {df*cost-0.5*sint, hl+df*sint+0.5*cost, 0}; +p15 = newp; Point(p15) = {df*cost, hl+df*sint, 0}; + +// Closure point just above origin. +p16 = newp; Point(p16) = {0, 0.75, 0}; + +// Join all points. +l01 = newl; Line(l01) = {p01, p02}; +l02 = newl; Line(l02) = {p02, p03}; +l03 = newl; Line(l03) = {p03, p04}; +l04 = newl; Line(l04) = {p04, p05}; +l05 = newl; Line(l05) = {p05, p06}; +l06 = newl; Line(l06) = {p06, p07}; +l07 = newl; Line(l07) = {p07, p08}; +l08 = newl; Line(l08) = {p08, p09}; +l09 = newl; Line(l09) = {p09, p10}; +l10 = newl; Line(l10) = {p10, p11}; +l11 = newl; Line(l11) = {p11, p12}; +l12 = newl; Line(l12) = {p12, p13}; +l13 = newl; Line(l13) = {p13, p14}; +l14 = newl; Line(l14) = {p14, p15}; +l15 = newl; Line(l15) = {p15, p16}; +l16 = newl; Line(l16) = {p16, p01}; +l17 = newl; Line(l17) = {p12, p15}; + +// Distinguish shell from the rest. +Color Orange{ Curve{ l01, l02, l03, l04, l05, l06, l07, l08, l09, + l10, l11, l12, l13, l14, l15, l16, l17}; } + +// Enclose region with a curve loop. +theloops[0] = newll; +Curve Loop(theloops[0]) = { + l01, l02, l03, l04, l05, l06, l07, l08, l09, + l10, l11, l17, l15, l16}; + +// Add region to be fully structured. +clk = newll; Curve Loop(clk) = {l12, l13, l14, -l17}; + +// ----------------------------------------------------------------------------- +// +// Creation of fins +// +// ----------------------------------------------------------------------------- + +idl = 1; +idk = 1; + +Macro MakeFin + // Rename some globals for local use. + t = finthick; + href = hl; + lref = D; + + dy = (y1 - y0); + dx = (x1 - x0); + alpha = Atan(dy / dx); + + // Coordinates in drawing are not all provided the same way, for now I will + // keep the user-defined length, but in the future the computation of each + // fin barycenter needs to be improved by better coordinates. + // Printf("L = %.5f", Sqrt(dx^2+dy^2)); + + x = lref-0.5*(x0+x1); + y = href+0.5*(y0+y1); + + dlx1 = 0.5*(l) * Cos(alpha); + dly1 = 0.5*(l) * Sin(alpha); + dtx1 = 0.5*(t) * Sin(alpha); + dty1 = 0.5*(t) * Cos(alpha); + + xf1 = x + dlx1; + yf1 = y - dly1; + xh1 = x - dlx1; + yh1 = y + dly1; + + p01 = newp; Point(p01) = {xf1 - dtx1, yf1 - dty1, 0}; + p02 = newp; Point(p02) = {xf1 + dtx1, yf1 + dty1, 0}; + p03 = newp; Point(p03) = {xh1 + dtx1, yh1 + dty1, 0}; + p04 = newp; Point(p04) = {xh1 - dtx1, yh1 - dty1, 0}; + + l01 = newl; Line(l01) = {p01, p02}; + l02 = newl; Line(l02) = {p02, p03}; + l03 = newl; Line(l03) = {p03, p04}; + l04 = newl; Line(l04) = {p04, p01}; + + // Store CL for later subtraction of main surface. + theloops[idl] = newcl; + Curve Loop(theloops[idl]) = {l01, l02, l03, l04}; + + firstcell = 0.001; + farcell = 0.05; + blthick = 0.01; + + Field[idk+0] = Distance; + Field[idk+0].CurvesList = {l01, l02, l03, l04}; + Field[idk+0].Sampling = 10; + + Field[idk+1] = Threshold; + Field[idk+1].InField = idk+0; + Field[idk+1].SizeMin = 10*firstcell; + Field[idk+1].SizeMax = farcell; + Field[idk+1].DistMin = blthick; + Field[idk+1].DistMax = 0.5; + + Field[idk+2] = BoundaryLayer; + Field[idk+2].AnisoMax = 0.1; + Field[idk+2].Quads = 1; + Field[idk+2].Thickness = blthick; + Field[idk+2].CurvesList = {l01, l02, l03, l04}; + Field[idk+2].Ratio = 1.2; + Field[idk+2].Size = firstcell; + Field[idk+2].SizeFar = 10*firstcell; + Field[idk+2].IntersectMetrics = 1; + + Background Field = idk+1; + BoundaryLayer Field = idk+2; + + // Increment counter. + idl += 1; + idk += 3; +Return + +// ----------------------------------------------------------------------------- + +l = 0.550; +y0 = 0.654; +y1 = 1.075; +x0 = 2.808; +x1 = 3.161; +Call MakeFin; + +l = 0.730; +y0 = 0.000; +y1 = 0.546; +x0 = 1.882; +x1 = 2.371; +Call MakeFin; + +l = 0.600; +y0 = 0.141; +y1 = 0.441; +x0 = 0.705; +x1 = 1.225; +Call MakeFin; + +// ----------------------------------------------------------------------------- +// +// Put it all together +// +// ----------------------------------------------------------------------------- + +ps1 = news; Plane Surface(ps1) = {theloops[]}; +ps2 = news; Plane Surface(ps2) = {clk}; + +// Transfinite Curve{2, 4} = 6; +Transfinite Curve{8} = 120; +Transfinite Curve{12, -14} = 25; +Transfinite Curve{15} = 25; +Transfinite Curve{16} = 40; +Transfinite Curve{13, -17} = 25; +Transfinite Surface{ps2}; +Recombine Surface {ps1, ps2}; + +Compound Curve{1:7, 14, 15, 16}; +Compound Curve{9:12}; +Compound Surface{ps1, ps2}; + +// ----------------------------------------------------------------------------- +// +// Boundary layer +// +// ----------------------------------------------------------------------------- + +Field[idk] = BoundaryLayer; +Field[idk].CurvesList = {1:7, 9, 10, 11, 12}; +Field[idk].PointsList= {1, 8, 13, 14}; +Field[idk].AnisoMax = 0.1; +Field[idk].Quads = 1; +Field[idk].Thickness = 0.02; +Field[idk].Ratio = 1.1; +Field[idk].Size = shellbl; +Field[idk].SizeFar = 0.05; +Field[idk].IntersectMetrics = 1; +BoundaryLayer Field = idk; + +// Field[5] = BoundaryLayer; +// Field[5].AnisoMax = 0.1; +// Field[5].Quads = 1; +// Field[5].Thickness = 0.05; +// Field[5].CurvesList = {9, 10}; +// Field[5].PointsList= {9, 11}; +// Field[5].Ratio = 1.1; +// Field[5].Size = shellbl; +// Field[5].SizeFar = 0.05; +// Field[5].IntersectMetrics = 1; +// BoundaryLayer Field = 5; + +// ----------------------------------------------------------------------------- +// +// Patch naming +// +// ----------------------------------------------------------------------------- + +// Extrude {0, 0, 0.2} { Surface{ps1, ps2}; Layers{1}; Recombine; } + +// Physical Volume("volume") = {1, 2}; +// Physical Surface("frontAndBack") = {1, 2, 30, 36}; +// Physical Surface("inlet") = {33}; +// Physical Surface("outlet") = {11}; +// Physical Surface("flap1") = {18, 19, 20, 21}; +// Physical Surface("flap2") = {22, 23, 24, 25}; +// Physical Surface("flap3") = {26, 27, 28, 29}; +// Physical Surface("shell") = {4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 16, 17, 32, 34}; + +// ----------------------------------------------------------------------------- +// +// Meshing +// +// ----------------------------------------------------------------------------- + +// Mesh.MeshSizeExtendFromBoundary = 0; +// Mesh.MeshSizeFromPoints = 0; +// Mesh.MeshSizeFromCurvature = 0; + +Mesh.SaveAll = 1; +Mesh.MshFileVersion = 2.2; +Mesh.MeshSizeFactor = 0.5; +Mesh.MeshSizeMin = 0.0005; +Mesh.MeshSizeMax = 0.10; +Mesh.Algorithm = 5; +Mesh.Smoothing = 200; + +// Mesh 1; +// RefineMesh; + +// Save "geometry.unv"; +// Save "geometry.msh"; + +// ----------------------------------------------------------------------------- +// +// EOF +// +// ----------------------------------------------------------------------------- diff --git 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+Line(2) = {3, 2}; +Line(3) = {3, 4}; +Line(4) = {4, 1}; + +Curve Loop(1) = {4, 1, -2, 3}; +Plane Surface(1) = {1}; diff --git a/apps/Gmsh/shared/t7_attractors.geo b/apps/Gmsh/shared/t7_attractors.geo new file mode 100644 index 000000000..c2038d610 --- /dev/null +++ b/apps/Gmsh/shared/t7_attractors.geo @@ -0,0 +1,35 @@ +side = 0.01; +h = side * Sqrt(3)/2; + +x1 = 0.05 - 1*side/2; +x2 = 0.05 - 0*side/2; +x3 = 0.05 + 1*side/2; + +y1 = 0.050; +y2 = y1 + h; +y3 = 0.25; +y4 = y3 - h; + +View "background mesh" { + ST(x1, y1, 0, + x2, y2, 0, + x3, y1, 0){ + 0.010, + 0.002, + 0.050 + }; + ST(x1, y3, 0, + x2, y4, 0, + x3, y3, 0){ + 0.002, + 0.005, + 0.003 + }; + // ST(x1, 0.15, 0, + // x2, 0.12, 0, + // x3, 0.16, 0){ + // 0.002, + // 0.003, + // 0.003 + // }; +}; diff --git a/apps/Gmsh/shared/t7_bgmesh.pos b/apps/Gmsh/shared/t7_bgmesh.pos new file mode 100644 index 000000000..da1ddbeb3 --- /dev/null +++ b/apps/Gmsh/shared/t7_bgmesh.pos @@ -0,0 +1,1399 @@ +// ----------------------------------------------------------------------------- +// +// Gmsh tutorial 7 - appendix +// +// 2D scalar background mesh (in parsed format) +// +// ----------------------------------------------------------------------------- + +// This post-processing view contains scalar triangles. The values represent the +// target mesh sizes to be applied to the first tutorial, t1.geo. +// +// There are two ways to use this view as a background mesh: +// +// 1) open t1.geo, merge bgmesh.pos, select 'Apply as background mesh' in the +// view's options (by right mouse clicking on the view's button), and mesh +// the problem. +// +// 2) launch Gmsh with 'gmsh t1.geo -bgm bgmesh.pos' and mesh the problem. + +View "background mesh" { +ST(0.077999455,0.23524011,0,0.068887619,0.23816425,0,0.069899638,0.22912552,0){0.01189957,0.011832084,0.0079913397}; +ST(0.010825671,0.099590532,0,0.017290659,0.10415759,0,0.0069230724,0.10599149,0){0.004016107,0.005360028,0.0033428238}; +ST(0.090008104,0.28998113,0,0.085714286,0.3,0,0.081687843,0.29203932,0){0.016147484,0.018964149,0.015803058}; +ST(0.017290659,0.10415759,0,0.012784661,0.11066528,0,0.0069230724,0.10599149,0){0.005360028,0.0045452747,0.0033428238}; +ST(0.090008104,0.28998113,0,0.082630752,0.28262165,0,0.093083753,0.28331412,0){0.016147484,0.010973814,0.01260174}; 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+ST(0.0050703794,0.22750411,0,0.010057812,0.23068741,0,0.0049857357,0.23304427,0){0.0016282327,0.0022253758,0.0018422485}; +ST(0,0.23057917,0,0.0050703794,0.22750411,0,0.0049857357,0.23304427,0){0.0011094321,0.0016282327,0.0018422485}; +ST(0.010057812,0.23068741,0,0.014825475,0.22792118,0,0.014554238,0.23387563,0){0.0022253758,0.0025937878,0.003134429}; +ST(0.014825475,0.22792118,0,0.0193219,0.2311094,0,0.014554238,0.23387563,0){0.0025937878,0.0033259199,0.003134429}; +ST(0.026266704,0.19389286,0,0.02166044,0.19054668,0,0.026781154,0.18834116,0){0.0071802403,0.006134172,0.0069809105}; +}; diff --git a/apps/Gmsh/shared/view1.pos b/apps/Gmsh/shared/view1.pos new file mode 100644 index 000000000..39dc65b3f --- /dev/null +++ b/apps/Gmsh/shared/view1.pos @@ -0,0 +1,1287 @@ +// ----------------------------------------------------------------------------- +// +// Gmsh tutorial 1 - appendix 1 +// +// Scalar post-processing view (in parsed format) +// +// ----------------------------------------------------------------------------- + +// This view contains a scalar field defined on triangles. There are 5 time +// steps, i.e. 3*5 = 15 values for each triangle. + +View "A scalar field" { +ST(0.079090117,0.19794942,0,0.06966854,0.20076802,0,0.071449289,0.19423207,0){1206859.6,1570520.4,1594804.6,-2368529.7,-3162888.4,-3019964.8,1073015.3,1636334.6,1103926.4,1335740.9,1503948.1,2033518.7,-2359414.1,-3161601.9,-2921575.1}; +ST(0.056317057,0.058022103,0,0.045416206,0.061541227,0,0.048663579,0.053435419,0){3630316.8,3642820.9,3726394.8,2330872.5,2181474.8,2589713.3,197001.66,-155055.51,663071.82,-2007682.1,-2429600.5,-1465861.1,-3494460.7,-3730025.8,-3147918.6}; +ST(0.052494391,0.065958781,0,0.045416206,0.061541227,0,0.056317057,0.058022103,0){3640248,3642820.9,3630316.8,1971511.2,2181474.8,2330872.5,-601016.65,-155055.51,197001.66,-2898090,-2429600.5,-2007682.1,-3866942,-3730025.8,-3494460.7}; +ST(0.089437553,0.21298247,0,0.093706234,0.20596864,0,0.1,0.21428571,0){556322.48,360320.46,0,-1238115.4,-758974.46,0,961021.23,479351.87,0,60411.18,228803.73,0,-1035404.3,-732939.79,0}; +ST(0,0.021428571,0,0.0084994266,0.025462386,0,0,0.028571429,0){0,1014895.2,0,0,943121.65,0,0,804669.5,0,0,609367.99,0,0,370926.59,0}; 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+ST(0.095795895,0.073622969,0,0.095867013,0.068756454,0,0.1,0.071428571,0){473503.74,470210.65,0,205720.2,236792.42,0,-178405.32,-114175.46,0,-461642.03,-408471.99,0,-483922.03,-500215.61,0}; +}; diff --git a/apps/Gmsh/shared/view3.pos b/apps/Gmsh/shared/view3.pos new file mode 100644 index 000000000..aaf2b7ead --- /dev/null +++ b/apps/Gmsh/shared/view3.pos @@ -0,0 +1,2516 @@ +// ----------------------------------------------------------------------------- +// +// Gmsh tutorial 1 - appendix 3 +// +// Scalar 3D post-processing view (in parsed format) +// +// ----------------------------------------------------------------------------- + +// This view contains a scalar field defined on tetrahedra. + +View "A 3D scalar field" { +SS(-1,-1,-0.25,-0.86742481,-0.86548068,-0.14483364,-1,-0.70523324,-0.21165758,-1,-0.77608598,0.00064487429){2.0422973,1.5085891,1.5222776,1.5844414}; +SS(0.13402468,0.11673163,-0.1460819,0,0,-0.25,0.29173763,0,-0.20843742,0.22032809,0,-9.1119885e-05){0.039337265,0.044304329,0.1134179,0.027339551}; 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+SP(0.05,0.267,0){667386.55,-1922925.8,2950129.8,-3627185.1,3874358.1}; +SP(0.05,0.27,0){607150.38,-1762003.4,2744242,-3457593.6,3832384.2}; +SP(0.05,0.273,0){547005.99,-1597635.6,2521468.1,-3245097.7,3711215.1}; +SP(0.05,0.276,0){485969.26,-1427626.1,2280229.4,-2990458.2,3514003.7}; +SP(0.05,0.279,0){425772.09,-1256953.4,2027946.6,-2701735.8,3246128.1}; +SP(0.05,0.282,0){365048.46,-1082369.9,1761750.7,-2379291.2,2913416.4}; +SP(0.05,0.285,0){304602.44,-906268.2,1485460,-2027764.3,2519849.4}; +SP(0.05,0.288,0){243611.08,-726931.25,1198572.9,-1650912.8,2076772.4}; +SP(0.05,0.291,0){182755.26,-546565.01,905261.36,-1255449.9,1593918.7}; +SP(0.05,0.294,0){121956.56,-365403.51,607434.69,-847081.6,1083449.6}; +SP(0.05,0.297,0){60934.375,-182783.17,304562.81,-426212.21,547699.19}; +SP(0.05,0.3,0){0,0,0,0,0}; +}; + +View "e" { +SP(0.05,0.2,0){1939799.2,-3879808.7,1939891.9,1939888.6,-3880387.9}; +T2(10,-12,0){"File created on Fri Oct 18 23:50:20 2002"}; +T2(General.GraphicsWidth/2,-12,0){"First time step", "Second time step", "Third time step", + "Fourth time step", "Last time step!"}; +T3(0.1,0,0,0){"This is a 3D string, defined in model coordinates"}; +T3(0.1,0.3,0,0){"Test 1","Test 2","Test 3","Test 4","Test 5","Test 6","Test 7"}; +}; diff --git a/apps/Gmsh/t1.geo b/apps/Gmsh/t1.geo new file mode 100644 index 000000000..5fd055138 --- /dev/null +++ b/apps/Gmsh/t1.geo @@ -0,0 +1,63 @@ +// t1.geo + +// The following command defines a new variable `lc': +lc = 1.0e-02; + +// Create a few tagged points with tag `p*` and target mesh size `lc`: +p1 = newp; Point(p1) = {0.0, 0.0, 0.0, lc}; +p2 = newp; Point(p2) = {0.1, 0.0, 0.0, lc}; +p3 = newp; Point(p3) = {0.1, 0.3, 0.0, lc}; +p4 = newp; Point(p4) = {0.0, 0.3, 0.0, lc}; + +// Create a few tagged lines with tag `l*` from the above points: +l1 = newl; Line(l1) = {p1, p2}; +l2 = newl; Line(l2) = {p3, p2}; +l3 = newl; Line(l3) = {p3, p4}; +l4 = newl; Line(l4) = {p4, p1}; + +// Before creating a surface, a curve loop must be defined. Notice that lines +// must be right-hand oriented to enclose a region. +c1 = newcl; Curve Loop(c1) = {l4, l1, -l2, l3}; + +// We can then define the surface as a list of curve loops (only one here). +s1 = news; Plane Surface(s1) = {c1}; + +// This is for a more advanced tutorial, just playing around here. +// Transfinite Surface{s1}; +// Recombine Surface {s1}; + +// By default, if physical groups are defined, Gmsh will export in output files +// only mesh elements that belong to at least one physical group. (To force Gmsh +// to save all elements, whether they belong to physical groups or not, set +// `Mesh.SaveAll=1;', or specify `-save_all' on the command line.) +Physical Curve("walls") = {l1, l2, l4}; +Physical Surface("the_surface") = {s1}; + +// Now that the geometry is complete, you can +// - either open this file with Gmsh and select `2D' in the `Mesh' module to +// create a mesh; then select `Save' to save it to disk in the default format +// (or use `File->Export' to export in other formats); +// - or run `gmsh t1.geo -2` to mesh in batch mode on the command line. +// - you could also uncomment the following lines in this script, which would +// lead Gmsh to mesh and save the mesh every time the file is parsed. (To +// simply parse the file from the command line, you can use `gmsh t1.geo -') +// +// By default, Gmsh saves meshes in the latest version of the Gmsh mesh file +// format (the `MSH' format). Above we also save to Ideas-UNV format, what can +// be useful if generating meshes that can be imported in Ansys Fluent. +// +// - In the GUI: open `File->Export', enter your `filename.msh' and then pick +// the version in the dropdown menu. +// - On the command line: use the `-format' option (e.g. `gmsh file.geo -format +// msh2 -2'). +// - In a `.geo' script: add `Mesh.MshFileVersion = x.y;' for any version +// number `x.y'. +// - As an alternative method, you can also not specify the format explicitly, +// and just choose a filename with the `.msh2' or `.msh4' extension. + +Mesh.SaveAll = 1; +Mesh.MshFileVersion = 2.2; +Mesh 2; + +Save "t1.msh"; +Save "t1.unv"; diff --git a/apps/Gmsh/t10.geo b/apps/Gmsh/t10.geo new file mode 100644 index 000000000..1cfcf5a88 --- /dev/null +++ b/apps/Gmsh/t10.geo @@ -0,0 +1,114 @@ +// t10.geo + +// Let's create a simple rectangular geometry +lc = 0.15; +Point(1) = {0.0, 0.0, 0, lc}; +Point(2) = {1.0, 0.0, 0, lc}; +Point(3) = {1.0, 1.0, 0, lc}; +Point(4) = {0.0, 1.0, 0, lc}; +Point(5) = {0.2, 0.5, 0, lc}; + +Line(1) = {1, 2}; +Line(2) = {2, 3}; +Line(3) = {3, 4}; +Line(4) = {4, 1}; + +Curve Loop(5) = {1,2,3,4}; +Plane Surface(6) = {5}; + +// Testing with quadrangles. +// Recombine Surface{6}; + +// Say we would like to obtain mesh elements with size lc/30 near curve 2 and +// point 5, and size lc elsewhere. To achieve this, we can use two fields: +// "Distance", and "Threshold". We first define a Distance field (`Field[1]') on +// points 5 and on curve 2. This field returns the distance to point 5 and to +// (100 equidistant points on) curve 2. +Field[1] = Distance; +Field[1].PointsList = {5}; +Field[1].CurvesList = {2}; +Field[1].Sampling = 100; + +// We then define a `Threshold' field, which uses the return value of the +// `Distance' field 1 in order to define a simple change in element size +// depending on the computed distances +// +// SizeMax - /------------------ +// / +// / +// / +// SizeMin -o----------------/ +// | | | +// Point DistMin DistMax +Field[2] = Threshold; +Field[2].InField = 1; +Field[2].SizeMin = lc / 30; +Field[2].SizeMax = lc; +Field[2].DistMin = 0.15; +Field[2].DistMax = 0.5; + +// To apply the background field "2" we could simply to the following, but +// something more elaborate will be done in what follows. +// Background Field = 2; + +// Say we want to modulate the mesh element sizes using a mathematical function +// of the spatial coordinates. We can do this with the MathEval field: +Field[3] = MathEval; +Field[3].F = "Cos(4*Pi*x) * Sin(4*Pi*y) / 10 + 0.101"; + +// We could also combine MathEval with values coming from other fields. For +// example, let's define a `Distance' field around point 1 +Field[4] = Distance; +Field[4].PointsList = {1}; + +// We can then create a `MathEval' field with a function that depends on the +// return value of the `Distance' field 4, i.e., depending on the distance to +// point 1 (here using a cubic law, with minimum element size = lc / 100) +Field[5] = MathEval; +Field[5].F = Sprintf("F4^3 + %g", lc / 100); + +// We could also use a `Box' field to impose a step change in element sizes +// inside a box +Field[6] = Box; +Field[6].VIn = lc / 15; +Field[6].VOut = lc; +Field[6].XMin = 0.3; +Field[6].XMax = 0.6; +Field[6].YMin = 0.3; +Field[6].YMax = 0.6; +Field[6].Thickness = 0.3; + +// Many other types of fields are available: see the reference manual for a +// complete list. You can also create fields directly in the graphical user +// interface by selecting `Define->Size fields' in the `Mesh' module. + +// Let's use the minimum of all the fields as the background mesh size field +Field[7] = Min; +Field[7].FieldsList = {2, 3, 5, 6}; +Background Field = 7; + +// To determine the size of mesh elements, Gmsh locally computes the minimum of +// +// 1) the size of the model bounding box; +// 2) if `Mesh.MeshSizeFromPoints' is set, the mesh size specified at +// geometrical points; +// 3) if `Mesh.MeshSizeFromCurvature' is positive, the mesh size based on +// curvature (the value specifying the number of elements per 2 * pi rad); +// 4) the background mesh size field; +// 5) any per-entity mesh size constraint. +// +// This value is then constrained in the interval [`Mesh.MeshSizeMin', +// `Mesh.MeshSizeMax'] and multiplied by `Mesh.MeshSizeFactor'. In addition, +// boundary mesh sizes are interpolated inside surfaces and/or volumes depending +// on the value of `Mesh.MeshSizeExtendFromBoundary' (which is set by default). +// +// When the element size is fully specified by a mesh size field (as it is in +// this example), it is thus often desirable to set the following. This will +// prevent over-refinement due to small mesh sizes on the boundary. +Mesh.MeshSizeExtendFromBoundary = 0; +Mesh.MeshSizeFromPoints = 0; +Mesh.MeshSizeFromCurvature = 0; + +// The "Delaunay" algorithm (Mesh.Algorithm = 5) will handle complex mesh size +// fields better: +Mesh.Algorithm = 5; diff --git a/apps/Gmsh/t11.geo b/apps/Gmsh/t11.geo new file mode 100644 index 000000000..3365eb450 --- /dev/null +++ b/apps/Gmsh/t11.geo @@ -0,0 +1,40 @@ +// t11.geo + +Point(1) = {-1.25, -.5, 0}; +Point(2) = {1.25, -.5, 0}; +Point(3) = {1.25, 1.25, 0}; +Point(4) = {-1.25, 1.25, 0}; + +Line(1) = {1, 2}; +Line(2) = {2, 3}; +Line(3) = {3, 4}; +Line(4) = {4, 1}; + +Curve Loop(4) = {1, 2, 3, 4}; +Plane Surface(100) = {4}; + +Field[1] = MathEval; +Field[1].F = "0.01*(1.0+30.*(y-x*x)*(y-x*x) + (1-x)*(1-x))"; +Background Field = 1; + +// To generate quadrangles instead of triangles, we can simply add +Recombine Surface{100}; + +// Testing "Frontal-Delaunay for quads" +Mesh.Algorithm = 8; + +// The default recombination algorithm might leave some triangles in the mesh, +// if recombining all the triangles leads to badly shaped quads. In such cases, +// to generate full-quad meshes, you can either subdivide the resulting hybrid +// mesh (with Mesh.SubdivisionAlgorithm = 1), or use the full-quad recombination +// algorithm, which will automatically perform a coarser mesh followed by +// recombination, smoothing and subdivision. Uncomment the following line to try +// the full-quad algorithm: +Mesh.RecombinationAlgorithm = 2; // or 3 + +// Note that you could also apply the recombination algorithm and/or the +// subdivision step explicitly after meshing, as follows: +// Mesh 2; +// RecombineMesh; +// Mesh.SubdivisionAlgorithm = 1; +// RefineMesh; diff --git a/apps/Gmsh/t12.geo b/apps/Gmsh/t12.geo new file mode 100644 index 000000000..f521cacbb --- /dev/null +++ b/apps/Gmsh/t12.geo @@ -0,0 +1,73 @@ +// t12.geo + +// "Compound" meshing constraints allow to generate meshes across surface +// boundaries, which can be useful e.g. for imported CAD models (e.g. STEP) with +// undesired small features. + +// When a `Compound Curve' or `Compound Surface' meshing constraint is given, +// at mesh generation time Gmsh +// 1. meshes the underlying elementary geometrical entities, individually +// 2. creates a discrete entity that combines all the individual meshes +// 3. computes a discrete parametrization (i.e. a piece-wise linear mapping) +// on this discrete entity +// 4. meshes the discrete entity using this discrete parametrization instead +// of the underlying geometrical description of the underlying elementary +// entities making up the compound +// 5. optionally, reclassifies the mesh elements and nodes on the original +// entities + +// Step 3. above can only be performed if the mesh resulting from the +// combination of the individual meshes can be reparametrized, i.e. if the shape +// is "simple enough". If the shape is not amenable to reparametrization, you +// should create a full mesh of the geometry and first re-classify it to +// generate patches amenable to reparametrization (see `t13.geo'). + +// The mesh of the individual entities performed in Step 1. should usually be +// finer than the desired final mesh; this can be controlled with the +// `Mesh.CompoundMeshSizeFactor' option. + +// The optional reclassification on the underlying elementary entities in Step +// 5. is governed by the `Mesh.CompoundClassify' option. + +lc = 0.1; + +Point(1) = {0, 0, 0, lc}; +Point(2) = {1, 0, 0, lc}; +Point(3) = {1, 1, 0.5, lc}; +Point(4) = {0, 1, 0.4, lc}; +Point(5) = {0.3, 0.2, 0, lc}; +Point(6) = {0, 0.01, 0.01, lc}; +Point(7) = {0, 0.02, 0.02, lc}; +Point(8) = {1, 0.05, 0.02, lc}; +Point(9) = {1, 0.32, 0.02, lc}; + +Line(1) = {1, 2}; +Line(2) = {2, 8}; +Line(3) = {8, 9}; +Line(4) = {9, 3}; +Line(5) = {3, 4}; +Line(6) = {4, 7}; +Line(7) = {7, 6}; +Line(8) = {6, 1}; +Spline(9) = {7, 5, 9}; +Line(10) = {6, 8}; + +Curve Loop(11) = {5, 6, 9, 4}; +Surface(1) = {11}; + +Curve Loop(13) = {-9, 3, 10, 7}; +Surface(5) = {13}; + +Curve Loop(15) = {-10, 2, 1, 8}; +Surface(10) = {15}; + +// Treat curves 2, 3 and 4 as a single curve when meshing (i.e. mesh across +// points 6 and 7) +Compound Curve{2, 3, 4}; + +// Idem with curves 6, 7 and 8 +Compound Curve{6, 7, 8}; + +// Treat surfaces 1, 5 and 10 as a single surface when meshing (i.e. mesh across +// curves 9 and 10) +Compound Surface{1, 5, 10}; diff --git a/apps/Gmsh/t2.geo b/apps/Gmsh/t2.geo new file mode 100644 index 000000000..16f1c17e7 --- /dev/null +++ b/apps/Gmsh/t2.geo @@ -0,0 +1,90 @@ +// t2.geo + +// Including a file is equivalent to copy-pasting its contents: +Include "t1.geo"; + +// Edition of geometry and mesh can continue normally here: +p5 = newp; Point(p5) = {0, .4, 0, lc}; +l5 = newl; Line(l5) = {4, 5}; + +// Gmsh also provides tools to transform (translate, rotate, etc.) +Translate {-0.02, 0, 0} { Point{p5}; } + +// And it can be further rotated along z-axis by -Pi/4 around (0, 0.3, 0) with: +Rotate {{0,0,1}, {0,0.3,0}, -Pi/4} { Point{p5}; } + +// Point 3 can be duplicated and translated by 0.05 along the y axis: +p6 = Translate {0, 0.05, 0} { Duplicata{ Point{p3}; } }; + +l7 = newl; Line(l7) = {p3, p6}; +l8 = newl; Line(l8) = {p6, p5}; +c2 = newcl; Curve Loop(c2) = {l5,-l8,-l7, l3}; +s2 = news; Plane Surface(s2) = {c2}; + +// The `Translate' command returns a list containing the tags of the +// translated entities. Let's translate copies of the two surfaces. +// List indexing stars at 0. To get the size of a list, use: len = #mylist[]. +// Parentheses can also be used instead of square brackets. +my_new_surfs[] = Translate {0.12, 0, 0} { Duplicata{ Surface{s1, s2}; } }; +Printf("New surfaces '%g' and '%g'", my_new_surfs[0], my_new_surfs[1]); + +// Volumes are the fourth type of elementary entities in Gmsh. In the same way +// one defines curve loops to build surfaces, one has to define surface loops +// (i.e. `shells') to build volumes. The following volume does not have holes +// and thus consists of a single surface loop: +Point(100) = {0.0, 0.30, 0.12, lc}; +Point(101) = {0.1, 0.30, 0.12, lc}; +Point(102) = {0.1, 0.35, 0.12, lc}; + +// XXX: get coordinates of point 5. +xyz[] = Point{p5}; +Point(103) = {xyz[0], xyz[1], 0.12, lc}; + +Line(110) = {p4, 100}; Line(111) = {p3, 101}; +Line(112) = {p6, 102}; Line(113) = {p5, 103}; +Line(114) = {103, 100}; Line(115) = {100, 101}; +Line(116) = {101, 102}; Line(117) = {102, 103}; + +Curve Loop(118) = {115, -111, l3, 110}; Plane Surface(119) = {118}; +Curve Loop(120) = {111, 116, -112, -l7}; Plane Surface(121) = {120}; +Curve Loop(122) = {112, 117, -113, -l8}; Plane Surface(123) = {122}; +Curve Loop(124) = {114, -110, l5, 113}; Plane Surface(125) = {124}; +Curve Loop(126) = {115, 116, 117, 114}; Plane Surface(127) = {126}; + +Surface Loop(128) = {127, 119, 121, 123, 125, 11}; +Volume(129) = {128}; + +// When a volume can be extruded from a surface, it is usually easier to use the +// `Extrude' command directly instead of creating all the points, curves and +// surfaces by hand. +Extrude {0, 0, 0.12} { Surface{my_new_surfs[1]}; } + +// Manually assign a mesh size to some of the new points: +MeshSize {103, 105, 109, 102, 28, 24, p6, p5} = lc * 3; + +// We finally group volumes 129 and 130 in a single physical group with tag `1' +// and name "The volume": +Physical Volume("The volume", 1) = {129,130}; + +// Note that, if the transformation tools are handy to create complex +// geometries, it is also sometimes useful to generate the `flat' geometry, with +// an explicit representation of all the elementary entities. With the built-in +// geometry kernel, this can be achieved with +// `File->Export' by selecting the `Gmsh Unrolled GEO' format, or by adding +Save "t2.geo_unrolled"; + +// It can also be achieved with `gmsh t2.geo -0' on the command line. +// +// With the OpenCASCADE geometry kernel, unrolling the geometry can be achieved +// with `File->Export' by selecting the `OpenCASCADE BRep' format, or by adding +// +// Save "file.brep"; +// +// in the script. (OpenCASCADE geometries can also be exported to STEP.) +// +// It is important to note that Gmsh never translates geometry data into a +// common representation: all the operations on a geometrical entity are +// performed natively with the associated geometry kernel. Consequently, one +// cannot export a geometry constructed with the built-in kernel as an +// OpenCASCADE BRep file; or export an OpenCASCADE model as an Unrolled GEO +// file. diff --git a/apps/Gmsh/t3.geo b/apps/Gmsh/t3.geo new file mode 100644 index 000000000..d53a73984 --- /dev/null +++ b/apps/Gmsh/t3.geo @@ -0,0 +1,46 @@ +// t3.geo + +// Including a file is equivalent to copy-pasting its contents: +Include "t1.geo"; + +// Use `Extrude` with `Layers` to also extrude the mesh. +h = 0.1; +Extrude {0, 0, h} { + Surface{s1}; Layers{ {8, 2}, {0.5, 1} }; +} + +// Extrusion-rotation is also possible: +Extrude { {0, 1, 0} , {-0.1, 0, 0.1} , -Pi/2 } { + Surface{28}; Layers{7}; Recombine; +} + +// Define a ONELAB parameter. +DefineConstant[ angle = {90, Min 0, Max 120, Step 1, + Name "Parameters/Twisting angle"} ]; + +// Perform another extrusion using the parameter. Here we retrieve the volume +// number programmatically by using the return value (a list) of the `Extrude' +// command. This list contains the "top" of the extruded surface (in `out[0]'), +// the newly created volume (in `out[1]') and the tags of the lateral surfaces +// (in `out[2]', `out[3]', ...). +out[] = Extrude { {-2*h,0,0}, {1,0,0} , {0,0.15,0.25} , angle * Pi / 180 } { + Surface{50}; Layers{10}; Recombine; +}; + +// We can then define a new physical volume (with tag 101) to group all the +// elementary volumes: +Physical Volume(101) = {1, 2, out[1]}; + +// All interactive options are accessible in Gmsh's scripting language: +General.BackgroundGradient = 0; +General.Color.Text = White; +Geometry.PointNumbers = 1; +Geometry.Color.Points = Orange; +Geometry.Color.Surfaces = Geometry.Color.Points; +Mesh.Color.Points = {255, 0, 0}; + +// You can use the `Help->Current Options and Workspace' menu to see the current +// values of all options. To save all the options in a file, use +// `File->Export->Gmsh Options'. To associate the current options with the +// current file use `File->Save Model Options'. To save the current options for +// all future Gmsh sessions use `File->Save Options As Default'. diff --git a/apps/Gmsh/t4.geo b/apps/Gmsh/t4.geo new file mode 100644 index 000000000..1921aadb8 --- /dev/null +++ b/apps/Gmsh/t4.geo @@ -0,0 +1,137 @@ +// t4.geo + +// As usual, we start by defining some variables: +cm = 0.01; + +e1 = 4.5 * cm; +e2 = 6.0 * cm / 2; +e3 = 5.0 * cm / 2; + +h1 = 5 * cm; +h2 = 10 * cm; +h3 = 5 * cm; +h4 = 2 * cm; +h5 = 4.5 * cm; + +R1 = 1 * cm; +R2 = 1.5 * cm; +r = 1 * cm; + +Lc1 = 0.010; +Lc2 = 0.003; + +// We can use all the usual mathematical functions (note the capitalized first +// letters), plus some useful functions like Hypot(a, b) := Sqrt(a^2 + b^2): +ccos = (-h5*R1 + e2 * Hypot(h5, Hypot(e2, R1))) / (h5^2 + e2^2); +ssin = Sqrt(1 - ccos^2); + +// Then we define some points and some lines using these variables: +Point(1) = {-e1-e2, 0 , 0, Lc1}; +Point(2) = {-e1-e2, h1 , 0, Lc1}; +Point(3) = {-e3-r , h1 , 0, Lc2}; +Point(4) = {-e3-r , h1+r , 0, Lc2}; +Point(5) = {-e3 , h1+r , 0, Lc2}; +Point(6) = {-e3 , h1+h2, 0, Lc1}; +Point(7) = { e3 , h1+h2, 0, Lc1}; +Point(8) = { e3 , h1+r , 0, Lc2}; +Point(9) = { e3+r , h1+r , 0, Lc2}; +Point(10)= { e3+r , h1 , 0, Lc2}; +Point(11)= { e1+e2, h1 , 0, Lc1}; +Point(12)= { e1+e2, 0 , 0, Lc1}; +Point(13)= { e2 , 0 , 0, Lc1}; + +Point(14)= { R1 / ssin, h5+R1*ccos, 0, Lc2}; +Point(15)= { 0 , h5 , 0, Lc2}; +Point(16)= {-R1 / ssin, h5+R1*ccos, 0, Lc2}; +Point(17)= {-e2 , 0.0 , 0, Lc1}; + +Point(18)= {-R2 , h1+h3 , 0, Lc2}; +Point(19)= {-R2 , h1+h3+h4, 0, Lc2}; +Point(20)= { 0 , h1+h3+h4, 0, Lc2}; +Point(21)= { R2 , h1+h3+h4, 0, Lc2}; +Point(22)= { R2 , h1+h3 , 0, Lc2}; +Point(23)= { 0 , h1+h3 , 0, Lc2}; + +Point(24)= { 0, h1+h3+h4+R2, 0, Lc2}; +Point(25)= { 0, h1+h3-R2, 0, Lc2}; + +Line(1) = {1 , 17}; +Line(2) = {17, 16}; + +// Here we define a new circle arc, starting at point 14 and ending at point 16, +// with the circle's center being the point 15: +Circle(3) = {14, 15, 16}; + +// We can then define additional lines and circles, as well as a new surface: +Line(4) = {14, 13}; +Line(5) = {13, 12}; +Line(6) = {12, 11}; +Line(7) = {11, 10}; +Circle(8) = {8, 9, 10}; +Line(9) = {8, 7}; +Line(10) = {7, 6}; +Line(11) = {6, 5}; +Circle(12) = {3, 4, 5}; +Line(13) = {3, 2}; +Line(14) = {2, 1}; +Line(15) = {18, 19}; +Circle(16) = {21, 20, 24}; +Circle(17) = {24, 20, 19}; +Circle(18) = {18, 23, 25}; +Circle(19) = {25, 23, 22}; +Line(20) = {21,22}; + +Curve Loop(21) = {17, -15, 18, 19, -20, 16}; +// By not generating this it makes the actual hole! +// Plane Surface(22) = {21}; + +// But we still need to define the exterior surface. Since this surface has a +// hole, its definition now requires two curves loops: +Curve Loop(23) = {11, -12, 13, 14, 1, 2, -3, 4, 5, 6, 7, -8, 9, 10}; +Plane Surface(24) = {23, 21}; + +View "comments" { + // Add a text string in window coordinates, 10 pixels from the left and 10 + // pixels from the bottom, using the `StrCat' function to concatenate strings: + T2(10, -10, 0){ StrCat("Created on ", Today, " with Gmsh") }; + + // Add a text string in model coordinates centered at (X,Y,Z) = (0, 0.11, 0): + T3(0, 0.11, 0, TextAttributes("Align", "Center", "Font", "Helvetica")){ + "Hole" + }; + + // If a string starts with `file://', the rest is interpreted as an image + // file. For 3D annotations, the size in model coordinates can be specified + // after a `@' symbol in the form `widthxheight' (if one of `width' or + // `height' is zero, natural scaling is used; if both are zero, original image + // dimensions in pixels are used): + T3(0, 0.09, 0, TextAttributes("Align", "Center")){ + "file://t4_image.png@0.01x0" + }; + + // The 3D orientation of the image can be specified by proving the direction + // of the bottom and left edge of the image in model space: + T3(-0.01, 0.09, 0, 0){ "file://t4_image.png@0.01x0,0,0,1,0,1,0" }; + + // The image can also be drawn in "billboard" mode, i.e. always parallel to + // the camera, by using the `#' symbol: + T3(0, 0.12, 0, TextAttributes("Align", "Center")){ + "file://t4_image.png@0.01x0#" + }; + + // The size of 2D annotations is given directly in pixels: + T2(350, -7, 0){ "file://t4_image.png@20x0" }; +}; + +// Views and geometrical entities can be made to respond to double-click events, +// here to print some messages to the console: +View[0].DoubleClickedCommand = "Printf('View[0] has been double-clicked!');"; +Geometry.DoubleClickedCurveCommand = "Printf('Curve %g has been double-clicked!', Geometry.DoubleClickedEntityTag);"; + +// We can also change the color of some entities: +// Color Grey50{ Surface{ 22 }; } +Color Purple{ Surface{ 24 }; } +Color Red{ Curve{ 1:14 }; } +Color Yellow{ Curve{ 15:20 }; } + +Mesh 2; diff --git a/apps/Gmsh/t5.geo b/apps/Gmsh/t5.geo new file mode 100644 index 000000000..e944b9793 --- /dev/null +++ b/apps/Gmsh/t5.geo @@ -0,0 +1,135 @@ +// t5.geo + +Mesh.MeshSizeFactor = 0.5; +Geometry.OldNewReg = 0; + +// We start by defining some target mesh sizes: +lcar1 = 0.1; +lcar2 = 0.0005; +lcar3 = 0.055; + +// We proceed by defining some elementary entities describing a truncated cube: +Point(1) = {0.5,0.5,0.5,lcar2}; Point(2) = {0.5,0.5,0,lcar1}; +Point(3) = {0,0.5,0.5,lcar1}; Point(4) = {0,0,0.5,lcar1}; +Point(5) = {0.5,0,0.5,lcar1}; Point(6) = {0.5,0,0,lcar1}; +Point(7) = {0,0.5,0,lcar1}; Point(8) = {0,1,0,lcar1}; +Point(9) = {1,1,0,lcar1}; Point(10) = {0,0,1,lcar1}; +Point(11) = {0,1,1,lcar1}; Point(12) = {1,1,1,lcar1}; +Point(13) = {1,0,1,lcar1}; Point(14) = {1,0,0,lcar1}; + +Line(1) = {8,9}; Line(2) = {9,12}; Line(3) = {12,11}; +Line(4) = {11,8}; Line(5) = {9,14}; Line(6) = {14,13}; +Line(7) = {13,12}; Line(8) = {11,10}; Line(9) = {10,13}; +Line(10) = {10,4}; Line(11) = {4,5}; Line(12) = {5,6}; +Line(13) = {6,2}; Line(14) = {2,1}; Line(15) = {1,3}; +Line(16) = {3,7}; Line(17) = {7,2}; Line(18) = {3,4}; +Line(19) = {5,1}; Line(20) = {7,8}; Line(21) = {6,14}; + +Curve Loop(22) = {-11,-19,-15,-18}; Plane Surface(23) = {22}; +Curve Loop(24) = {16,17,14,15}; Plane Surface(25) = {24}; +Curve Loop(26) = {-17,20,1,5,-21,13}; Plane Surface(27) = {26}; +Curve Loop(28) = {-4,-1,-2,-3}; Plane Surface(29) = {28}; +Curve Loop(30) = {-7,2,-5,-6}; Plane Surface(31) = {30}; +Curve Loop(32) = {6,-9,10,11,12,21}; Plane Surface(33) = {32}; +Curve Loop(34) = {7,3,8,9}; Plane Surface(35) = {34}; +Curve Loop(36) = {-10,18,-16,-20,4,-8}; Plane Surface(37) = {36}; +Curve Loop(38) = {-14,-13,-12,19}; Plane Surface(39) = {38}; + +// Instead of using included files, we now use a user-defined macro in order +// to carve some holes in the cube: +Macro CheeseHole + p1 = newp; Point(p1) = {x, y, z, lcar3}; + p2 = newp; Point(p2) = {x+r,y, z, lcar3}; + p3 = newp; Point(p3) = {x, y+r,z, lcar3}; + p4 = newp; Point(p4) = {x, y, z+r,lcar3}; + p5 = newp; Point(p5) = {x-r,y, z, lcar3}; + p6 = newp; Point(p6) = {x, y-r,z, lcar3}; + p7 = newp; Point(p7) = {x, y, z-r,lcar3}; + + c1 = newc; Circle(c1) = {p2,p1,p7}; c2 = newc; Circle(c2) = {p7,p1,p5}; + c3 = newc; Circle(c3) = {p5,p1,p4}; c4 = newc; Circle(c4) = {p4,p1,p2}; + c5 = newc; Circle(c5) = {p2,p1,p3}; c6 = newc; Circle(c6) = {p3,p1,p5}; + c7 = newc; Circle(c7) = {p5,p1,p6}; c8 = newc; Circle(c8) = {p6,p1,p2}; + c9 = newc; Circle(c9) = {p7,p1,p3}; c10 = newc; Circle(c10) = {p3,p1,p4}; + c11 = newc; Circle(c11) = {p4,p1,p6}; c12 = newc; Circle(c12) = {p6,p1,p7}; + + l1 = newcl; Curve Loop(l1) = {c5,c10,c4}; + l2 = newcl; Curve Loop(l2) = {c9,-c5,c1}; + l3 = newcl; Curve Loop(l3) = {c12,-c8,-c1}; + l4 = newcl; Curve Loop(l4) = {c8,-c4,c11}; + l5 = newcl; Curve Loop(l5) = {-c10,c6,c3}; + l6 = newcl; Curve Loop(l6) = {-c11,-c3,c7}; + l7 = newcl; Curve Loop(l7) = {-c2,-c7,-c12}; + l8 = newcl; Curve Loop(l8) = {-c6,-c9,c2}; + + s1 = news; Surface(s1) = {l1}; + s2 = news; Surface(s2) = {l2}; + s3 = news; Surface(s3) = {l3}; + s4 = news; Surface(s4) = {l4}; + s5 = news; Surface(s5) = {l5}; + s6 = news; Surface(s6) = {l6}; + s7 = news; Surface(s7) = {l7}; + s8 = news; Surface(s8) = {l8}; + + // We then store the surface loops tags in a list for later reference (we + // will need these to define the final volume): + theloops[t] = newsl; + Surface Loop(theloops[t]) = {s1, s2, s3, s4, s5, s6, s7, s8}; + + // We define a physical volume for each hole (if meshing the wholes!) + // thehole = newv; + // Volume(thehole) = theloops[t]; + // Physical Volume (t) = thehole; +Return + +// We can use a `For' loop to generate five holes in the cube: +x = 0; y = 0.75; z = 0; r = 0.09; + +For t In {1:5} + x += 0.166; + z += 0.166; + + Call CheeseHole; + + Printf("Hole %g (center = {%.3f,%.3f,%.3f}, radius = %g)!", + t, x, y, z, r); +EndFor + +// We can then define the surface loop for the exterior surface of the cube: +theloops[0] = newreg; +Surface Loop(theloops[0]) = {23:39:2}; + +// The volume of the cube, without the 5 holes, is now defined by 6 surface +// loops: the first surface loop defines the exterior surface; the surface loops +// other than the first one define holes. (Again, to reference an array of +// variables, its identifier is followed by square brackets): +Volume(186) = {theloops[]}; + +// We finally define a physical volume for the elements discretizing the cube, +// without the holes (for which physical groups were already created in the +// `For' loop): +Physical Volume (10) = 186; + +// We could make only part of the model visible to only mesh this subset: +// Hide {:} +// Recursive Show { Volume{186}; } +// Mesh.MeshOnlyVisible=1; + +// Meshing algorithms can changed globally using options: +// Mesh.Algorithm = 6; // Frontal-Delaunay for 2D meshes + +// They can also be set for individual surfaces, e.g. +// MeshAlgorithm Surface {31, 35} = 1; // MeshAdapt on surfaces 31 and 35 + +// To generate a curvilinear mesh and optimize it to produce probably valid +// curved elements (see A. Johnen, J.-F. Remacle and C. Geuzaine. Geometric +// validity of curvilinear finite elements. Journal of Computational Physics +// 233, pp. 359-372, 2013; and T. Toulorge, C. Geuzaine, J.-F. Remacle, +// J. Lambrechts. Robust untangling of curvilinear meshes. Journal of +// Computational Physics 254, pp. 8-26, 2013), you can uncomment the following +// lines: +// Mesh.ElementOrder = 2; +// Mesh.HighOrderOptimize = 2; + +Mesh 3; +Save "t5.vtk"; diff --git a/apps/Gmsh/t6.geo b/apps/Gmsh/t6.geo new file mode 100644 index 000000000..0be2b21fe --- /dev/null +++ b/apps/Gmsh/t6.geo @@ -0,0 +1,84 @@ +// t6.geo + +// Let's use the geometry from the first tutorial as a basis for this one: +lc = 0.01; + +Point(1) = {0, 0, 0, lc}; +Point(2) = {.1, 0, 0, lc}; +Point(3) = {.1, .3, 0, lc}; +Point(4) = {0, .3, 0, lc}; + +Line(1) = {1, 2}; +Line(2) = {3, 2}; +Line(3) = {3, 4}; +Line(4) = {4, 1}; + +Curve Loop(1) = {4, 1, -2, 3}; +Plane Surface(1) = {1}; + +// Delete the surface and the left line, and replace the line with 3 new ones: +Delete{ Surface{1}; Curve{4}; } + +p1 = newp; Point(p1) = {-0.05, 0.05, 0, lc}; +p2 = newp; Point(p2) = {-0.05, 0.1, 0, lc}; + +l1 = newc; Line(l1) = {1, p1}; +l2 = newc; Line(l2) = {p1, p2}; +l3 = newc; Line(l3) = {p2, 4}; + +// Create a surface: +Curve Loop(2) = {2, -1, l1, l2, l3, -3}; +Plane Surface(1) = {-2}; + +// The `Transfinite Curve' meshing constraints explicitly specifies the location +// of the nodes on the curve. For example, the following command forces 20 +// uniformly placed nodes on curve 2 (including the nodes on the two end +// points): +Transfinite Curve{2} = 20; + +// Let's put 20 points total on combination of curves `l1', `l2' and `l3' +// (beware that the points `p1' and `p2' are shared by the curves, so we do not +// create 6 + 6 + 10 = 22 nodes, but 20!) +Transfinite Curve{l1} = 6; +Transfinite Curve{l2} = 6; +Transfinite Curve{l3} = 10; + +// Finally, we put 30 nodes following a geometric progression on curve 1 +// (reversed) and on curve 3: +Transfinite Curve{-1, 3} = 30 Using Progression 1.2; + +// The `Transfinite Surface' meshing constraint uses a transfinite interpolation +// algorithm in the parametric plane of the surface to connect the nodes on the +// boundary using a structured grid. If the surface has more than 4 corner +// points, the corners of the transfinite interpolation have to be specified by +// hand: +Transfinite Surface{1} = {1, 2, 3, 4}; + +// To create quadrangles instead of triangles, one can use the `Recombine' +// command: +Recombine Surface{1}; + +// When the surface has only 3 or 4 points on its boundary the list of corners +// can be omitted in the `Transfinite Surface' constraint: +Point(7) = {0.2, 0.2, 0, 1.0}; +Point(8) = {0.2, 0.1, 0, 1.0}; +Point(9) = {-0, 0.3, 0, 1.0}; +Point(10) = {0.25, 0.2, 0, 1.0}; +Point(11) = {0.3, 0.1, 0, 1.0}; + +Line(10) = {8, 11}; +Line(11) = {11, 10}; +Line(12) = {10, 7}; +Line(13) = {7, 8}; + +Curve Loop(14) = {13, 10, 11, 12}; +Plane Surface(15) = {14}; +Transfinite Curve {10:13} = 10; +Transfinite Surface{15}; + +// The way triangles are generated can be controlled by appending "Left", +// "Right" or "Alternate" after the `Transfinite Surface' command. Try e.g. +Transfinite Surface{15} Alternate; + +// Elliptic smoother to the grid to have a more regular mesh: +Mesh.Smoothing = 100; diff --git a/apps/Gmsh/t7.geo b/apps/Gmsh/t7.geo new file mode 100644 index 000000000..82eadca66 --- /dev/null +++ b/apps/Gmsh/t7.geo @@ -0,0 +1,23 @@ +// t7.geo + +// Merge a list-based post-processing view containing the target mesh sizes: +Merge "shared/t7_bgmesh.pos"; +// Merge "shared/t7_attractors.geo"; + +// If the post-processing view was model-based instead of list-based (i.e. if it +// was based on an actual mesh), we would need to create a new model to contain +// the geometry so that meshing it does not destroy the background mesh. It's +// not necessary here since the view is list-based, but it does no harm: +// NewModel; + +// Merge the first tutorial geometry: +Merge "shared/t1_mini.geo"; + +// Apply the view as the current background mesh size field: +Background Mesh View[0]; + +// In order to compute the mesh sizes from the background mesh only, and +// disregard any other size constraints, one can set: +Mesh.MeshSizeExtendFromBoundary = 0; +Mesh.MeshSizeFromPoints = 0; +Mesh.MeshSizeFromCurvature = 0; diff --git a/apps/Gmsh/t8.geo b/apps/Gmsh/t8.geo new file mode 100644 index 000000000..1a2bca7b6 --- /dev/null +++ b/apps/Gmsh/t8.geo @@ -0,0 +1,104 @@ +// t8.geo + +Include "shared/t1_mini.geo"; +Include "shared/view1.pos"; // 0 +Include "shared/view1.pos"; // 1 +Include "shared/view4.pos"; // 2, 3 + +General.Trackball = 0; +General.RotationX = 0; +General.RotationY = 0; +General.RotationZ = 0; +General.Color.Background = White; +General.Color.Foreground = Black; +General.Color.Text = Black; +General.Orthographic = 0; +General.Axes = 0; +General.SmallAxes = 0; + +// We also set some options for each post-processing view: +v0 = PostProcessing.NbViews-4; +v1 = v0+1; +v2 = v0+2; +v3 = v0+3; + +View[v0].IntervalsType = 2; +View[v0].OffsetZ = 0.05; +View[v0].RaiseZ = 0; +View[v0].Light = 1; +View[v0].ShowScale = 0; +View[v0].SmoothNormals = 1; + +View[v1].IntervalsType = 1; +View[v1].ColorTable = { Green, Blue }; +View[v1].NbIso = 10; +View[v1].ShowScale = 0; + +View[v2].Name = "Test..."; +View[v2].Axes = 1; +View[v2].Color.Axes = Black; +View[v2].IntervalsType = 2; +View[v2].Type = 2; +View[v2].IntervalsType = 2; +View[v2].AutoPosition = 0; +View[v2].PositionX = 85; +View[v2].PositionY = 50; +View[v2].Width = 200; +View[v2].Height = 130; + +View[v3].Visible = 0; + + +// A script can be used to build much more complex animations: + +t = 0; // Initial step + +// Loop on num from 1 to 3 +For num In {1:3} + // Set time step + View[v0].TimeStep = t; + View[v1].TimeStep = t; + View[v2].TimeStep = t; + View[v3].TimeStep = t; + + t = (View[v0].TimeStep < View[v0].NbTimeStep-1) ? t+1 : 0; // Increment + + View[v0].RaiseZ += 0.01/View[v0].Max * t; // Raise view v0 + + If (num == 3) + // Resize the graphics when num == 3, to create 640x480 frames + General.GraphicsWidth = General.MenuWidth + 640; + General.GraphicsHeight = 480; + EndIf + + frames = 50; + + // Loop on num2 from 1 to frames + For num2 In {1:frames} + // Incrementally rotate the scene + General.RotationX += 10; + General.RotationY = General.RotationX / 3; + General.RotationZ += 0.1; + + // Sleep for 0.01 second + Sleep 0.01; + + // Draw the scene (one could use `DrawForceChanged' instead to force the + // reconstruction of the vertex arrays, e.g. if changing element clipping) + Draw; + + If (num == 3) + // Uncomment the following lines to save each frame to an image file (the + // `Print' command saves the graphical window; the `Sprintf' function + // permits to create the file names on the fly): + // Print Sprintf("t8-%g.gif", num2); + // Print Sprintf("t8-%g.ppm", num2); + // Print Sprintf("t8-%g.jpg", num2); + EndIf + EndFor + + If(num == 3) + // Make a system call to generate a movie. + // System "ffmpeg -i t8-%d.jpg t8.mpg" + EndIf +EndFor diff --git a/apps/Gmsh/t9.geo b/apps/Gmsh/t9.geo new file mode 100644 index 000000000..be6c57de5 --- /dev/null +++ b/apps/Gmsh/t9.geo @@ -0,0 +1,51 @@ +// t9.geo + +// Let us for example include a three-dimensional scalar view: +Include "shared/view3.pos" ; + +// We then set some options for the `Isosurface' plugin (which extracts an +// isosurface from a 3D scalar view), and run it: +Plugin(Isosurface).Value = 0.67 ; +Plugin(Isosurface).View = 0 ; +Plugin(Isosurface).Run ; + +// We also set some options for the `CutPlane' plugin (which computes a section +// of a 3D view using the plane A*x+B*y+C*z+D=0), and then run it: +Plugin(CutPlane).A = 0 ; +Plugin(CutPlane).B = 0.2 ; +Plugin(CutPlane).C = 1 ; +Plugin(CutPlane).D = 0 ; +Plugin(CutPlane).View = 0 ; +Plugin(CutPlane).Run ; + +// Add a title (By convention, for window coordinates a value greater than 99999 +// represents the center. We could also use `General.GraphicsWidth / 2', but +// that would only center the string for the current window size.): +Plugin(Annotate).Text = "A nice title" ; +Plugin(Annotate).X = 1.0e5; +Plugin(Annotate).Y = 50 ; +Plugin(Annotate).Font = "Times-BoldItalic" ; +Plugin(Annotate).FontSize = 28 ; +Plugin(Annotate).Align = "Center" ; +Plugin(Annotate).View = 0 ; +Plugin(Annotate).Run ; + +Plugin(Annotate).Text = "(and a small subtitle)" ; +Plugin(Annotate).Y = 70 ; +Plugin(Annotate).Font = "Times-Roman" ; +Plugin(Annotate).FontSize = 12 ; +Plugin(Annotate).Run ; + +// We finish by setting some options: +View[0].Name = "Iso-values"; +View[1].Name = "Iso-values (0.67)"; +View[2].Name = "z = 0.2"; +View[0].ShowScale = 0; +View[1].ShowScale = 0; + +View[0].Light = 1; +View[0].IntervalsType = 1; // Check in GUI, this means Iso-values! +View[0].NbIso = 6; +View[0].SmoothNormals = 1; +View[1].IntervalsType = 2; // Continuous map +View[2].IntervalsType = 2;