From 38383fb185f2a1f97643bdfa58d274703855064c Mon Sep 17 00:00:00 2001 From: Philipp Grete Date: Tue, 24 Sep 2024 12:58:05 +0200 Subject: [PATCH] Add turbulence doc --- CHANGELOG.md | 1 + docs/img/turb_acc.png | Bin 0 -> 70460 bytes docs/img/turb_evol.png | Bin 0 -> 47808 bytes docs/img/turb_spec.png | Bin 0 -> 18786 bytes docs/turbulence.md | 100 +++++++++++++++++++++++++++++++++++++++++ 5 files changed, 101 insertions(+) create mode 100644 docs/img/turb_acc.png create mode 100644 docs/img/turb_evol.png create mode 100644 docs/img/turb_spec.png create mode 100644 docs/turbulence.md diff --git a/CHANGELOG.md b/CHANGELOG.md index 65d55b73..152bd814 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -7,6 +7,7 @@ - [[PR 1]](https://github.com/parthenon-hpc-lab/athenapk/pull/1) Add isotropic thermal conduction and RKL2 supertimestepping ### Changed (changing behavior/API/variables/...) +- [[PR 119]](https://github.com/parthenon-hpc-lab/athenapk/pull/119) Fixed Athena++ paper test case for KHI pgen. Added turbulence pgen doc. - [[PR 97]](https://github.com/parthenon-hpc-lab/athenapk/pull/97) Fixed Schure cooling curve. Removed SD one. Added description of cooling function conventions. - [[PR 84]](https://github.com/parthenon-hpc-lab/athenapk/pull/84) Bump Parthenon to latest develop (2024-02-15) diff --git a/docs/img/turb_acc.png b/docs/img/turb_acc.png new file mode 100644 index 0000000000000000000000000000000000000000..b828a66ed86d50ca68783c0a4a229044f8a7996f GIT binary patch literal 70460 zcmcG#Wm6nXv@MKfu)!g?Tkyf%-Q5EWHn;@|Zi6$pySux4fZ!fHK(Ih?mk{oA-h1v( zcz0D-clC$vs;=tQtJhvTT0>191C0a?4h{}OQ9(uv4i299zea=t_;1EmCA9g!4#{0g zQ3vI}@JF$Vf`g-iQKXq6!a=2VN_AtXHYXTs)XV)7M0H`^wjexwr1&_A$cnmrUn`V9R}=bnXn*g~W-4mZp!bSZt-p8jV%_$B z*Sq1rRVU_Oi`GBTZ~V5tvVF=?-!C-tc>J~Ia_&N}p#8Dt))TS($wt@p)xYVbdEiSo zhq`_ZB}Ie&z`%g%+ugj|*NmF?d-0b!jKQF*oi|1fGs+KP!!!HOr{-V#H_qE@-ue@7 zn#~$aO;hpbNf`g!PubV4{&j9&>1=6vv#)t=Q5AIwAE~>@lOx&DJAplnv-No^p=%ctih zuYREO=~t(?_~GI|TFBpyeUB})!si1j@rNWcC6U=U^UPs-iB`@3;5s|aGmc57J+G}^q4S} zIA{)cD-RI&-&I^PweB*|U%np){VOOhE6LpAnKT`J?~|#8`YX9msfJ0iMmfv5OQd=T 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00000000..73d7ac47 --- /dev/null +++ b/docs/turbulence.md @@ -0,0 +1,100 @@ +# Driven turbulence simulations + +The turbulence problem generator uses explicit inverse Fourier transformations (iFTs) +on each meshblock in order to reduce communication during the iFT. +Thus, it is only efficient if comparatively few modes are used (say < 100). + +Quite generally, driven turbulence simulations start from uniform initial conditions +(uniform density and pressure, some initial magnetic field configuration in case of an +MHD setup, and the fluid at rest) and reach a state of stationary, isotropic (or anisotropic +depending on the strength of the background magnetic field) turbulence after one to few +large eddy turnover times (again depending on the background magnetic field strength). +The large eddy turnover time is usually defined as `T = L/U` with `L` being the scale +of the largest eddies and `U` the root mean square Mach number in the stationary regime. + +The current implementation uses the following forcing spectrum +`(k/k_peak)^2 * (2 - (k/k_peak)^2)`. +Here, `k_peak` is the peak wavenumber of the forcing spectrum. It is related the scales of the largest eddies as +`L = 1/k_f` given that a box size of 1 is currently assumed/hardcoded. + +## Problem setup + +An example parameter file can be found in `inputs/turbulence.in`. + +A typical setup contains the following blocks in the input file: + +``` + +problem_id = turbulence + + +rho0 = 1.0 # initial mean density +p0 = 1.0 # initial mean pressure +b0 = 0.01 # initial magnetic field strength +b_config = 0 # 0 - net flux; 1 - no net flux uniform B; 2 - non net flux sin B; 4 - field loop +kpeak = 2.0 # characteristic wavenumber +corr_time = 1.0 # autocorrelation time of the OU forcing process +rseed = 20190729 # random seed of the OU forcing process +sol_weight = 1.0 # solenoidal weight of the acceleration field +accel_rms = 0.5 # root mean square value of the acceleration field +num_modes = 30 # number of wavemodes + + +k_1_0 = +2 +k_1_1 = -1 +k_1_2 = +0 +k_2_0 = +1 +... +``` + +Following parameters can be changed to control both the initial state + +- `rho0` initial mean density +- `p0` initial mean thermal pressure +- `b0` initial mean magnetic field strength +- `b_config` + - `0`: net flux case (uniform B_x) + - `1`: no net flux case (uniform B_x with changing sign in each half of the box) + - `2`: no net flux with initial sinosoidal B_x field + - `3`: deprecated + - `4`: closed field loop/cylinder in the box (in x-y plane) located at + - `x0=0.5` (default) + - `y0=0.5` (default) + - `z0=0.5` (default) + - and radius `loop_rad=0.25` + +as well as the driving field + +- `kpeak` peak wavenumber of the forcing spectrum. Make sure to update the wavemodes to match `kpeak`, see below. +- `corr_time` autocorrelation time of the acceleration field (in code units). +Using delta-in-time forcing, i.e., a very low value, is discouraged, see [Grete et al. 2018 ApJL](https://iopscience.iop.org/article/10.3847/2041-8213/aac0f5). +- `rseed` random seed for the OU process. Only change for new simulation, but keep unchanged for restarting simulations. +- `sol_weight` solenoidal weight of the acceleration field. `1.0` is purely solenoidal/rotational and `0.0` is purely dilatational/compressive. Any value between `0.0` and `1.0` is possible. The parameter is related to the resulting rotational power in the 3D acceleration field as +`1. - ((1-sol_weight)^2/(1-2*sol_weight+3*sol_weight^2))`, see eq (9) in [Federrath et al. 2010 A&A]( +https://doi.org/10.1051/0004-6361/200912437). +- `accel_rms` root mean square value of the acceleration (controls the "strength" of the forcing field) +- `num_modes` number of wavemodes that are specified in the `` section of the parameter file. +In order to generate a full set of modes run the `inputs/generate_fmturb_modes.py` script and replace +the corresponding parts of the parameter file with the output of the script. +Within the script, the top three variables (`k_peak`, `k_high`, and `k_low`) need to be adjusted in +order to generate a complete set (i.e., all) of wavemodes. +Alternatively, wavemodes can be chosen/defined manually, e.g., if not all wavemodes are desired or +only individual modes should be forced. + +## Typical results + +The results shown here are obtained from running simulations with the parameters given in the next section. + +### High level temporal evolution +![image](img/turb_evol.png) + +### Power spectra +![image](img/turb_spec.png) + +### Consistency of acceleration field +As each meshblock does a full iFT of all modes the following slices from a run with 8 meshblocks +illustrate that there is no discontinuities at the meshblock boundary. + +Plot shows x-, y-, and z-acceleration (in rows top to bottom) slices in the x-, y-, and z-direction (in columns from left to right). + +![image](img/turb_acc.png) \ No newline at end of file