-
Notifications
You must be signed in to change notification settings - Fork 0
/
blog-post-1.html
212 lines (164 loc) · 9.89 KB
/
blog-post-1.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
<!DOCTYPE html>
<html lang="en">
<head>
<title>Amey's GSoC Blog</title>
<!-- Meta -->
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="description" content="Blog Template">
<meta name="author" content="Xiaoying Riley at 3rd Wave Media">
<link rel="shortcut icon" href="favicon.ico">
<!-- FontAwesome JS-->
<script defer src="assets/fontawesome/js/all.min.js"></script>
<!-- Plugin CSS -->
<link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/highlight.js/9.14.2/styles/monokai-sublime.min.css">
<!-- Theme CSS -->
<link id="theme-style" rel="stylesheet" href="assets/css/theme-1.css">
</head>
<body>
<header class="header text-center">
<h1 class="blog-name pt-lg-4 mb-0"><a href="index.html">Amey's GSoC Blog</a></h1>
<nav class="navbar navbar-expand-lg navbar-dark" >
<button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#navigation" aria-controls="navigation" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>
<div id="navigation" class="collapse navbar-collapse flex-column" >
<div class="profile-section pt-3 pt-lg-0">
<img class="profile-image mb-3 rounded-circle mx-auto" src="assets/images/profile.png" alt="image" >
<div class="bio mb-3"> This blog contains the work done in first 2 weeks of the Coding Period<br><a href="about.html">Find out more about me</a></div><!--//bio-->
<ul class="social-list list-inline py-3 mx-auto">
<li class="list-inline-item"><a href="https://twitter.com/ameyvarhade"><i class="fab fa-twitter fa-fw"></i></a></li>
<li class="list-inline-item"><a href="https://www.linkedin.com/in/amey-varhade/"><i class="fab fa-linkedin-in fa-fw"></i></a></li>
<li class="list-inline-item"><a href="https://github.com/yemaedahrav"><i class="fab fa-github-alt fa-fw"></i></a></li>
<li class="list-inline-item"><a href="https://medium.com/@ameyvarhade"><i class="fab fa-medium fa-fw"></i></a></li>
</ul><!--//social-list-->
<hr>
</div><!--//profile-section-->
<ul class="navbar-nav flex-column text-left">
<li class="nav-item">
<a class="nav-link" href="index.html"><i class="fas fa-home fa-fw mr-2"></i>Blog Home <span class="sr-only">(current)</span></a>
</li>
<li class="nav-item active">
<a class="nav-link" href="blog-list.html"><i class="fas fa-bookmark fa-fw mr-2"></i>Blog List</a>
</li>
<li class="nav-item">
<a class="nav-link" href="about.html"><i class="fas fa-user fa-fw mr-2"></i>About Me</a>
</li>
</ul>
</div>
</nav>
</header>
<div class="main-wrapper">
<article class="blog-post px-3 py-5 p-md-5">
<div class="container">
<header class="blog-post-header">
<h2 class="title mb-2">Preliminaries</h2>
<div class="meta mb-3"><span class="date">Published on 24 June 2021</span><span class="time">5 min read</span></div>
</header>
<div class="blog-post-body">
<p>The Coding Phase began after the 3-week long Community Bonding period. The Community Bonding period was not very intensive and acted as a good period for getting familiar and setting up the environment ready and getting prepared for the next stage.</p>
<!-- <h3 class="mt-5 mb-3">Apllication Phase</h3> -->
<p>
We have set up a weekly meetup where I discuss my week’s progress with my mentors, update them on the issues faced and plan on further work.
</p>
<p>
The Coding phase started off with a meeting with project mentors. The project revolves around understanding the transition to turbulence and turbulent motion of a fluid in a cylindrical pipe.
</p>
<p>
The motion is described by the very famous Navier-Stokes equation.
This is a nonlinear partial differential equation which makes them interesting and challenging at the same time.
</p>
<p>
We have generated data from the quasilinear simulations of the equation through pseudo-spectral methods. The data collected is for every point in space and time, and is a 4-Dimensional, which includes three scalars representing the velocities along the axis, along the radial and tangential directions along with the scalar pressure component.
</p>
<!-- <h3 class="mt-5 mb-3">Acceptance</h3>
<p> On May 17, at 11:15 PM I received a mail saying </p>
<blockquote class="blockquote m-lg-5 py-3 pl-4 px-lg-5">
<p class="mb-2">GSoC 2021: Congratulations, your proposal with Machine Learning for Science (ML4SCI) Umbrella Organization has been accepted!
</p>
</blockquote> -->
<p>
We construct the covariance matrix and analyse the eigenvalues at each wavenumber, since we apply a fourier transform over the azimuthal dimension.
</p>
<figure class="blog-banner">
<a href="https://made4dev.com"><img class="img-fluid" src="assets/images/Covariance.png" alt="image"></a>
</figure>
<!-- <p>
Find the project links here
<a href="https://summerofcode.withgoogle.com/projects/#5955320347623424" target="_blank">GSoC Projects</a>
<a href="https://ml4sci.org/gsoc/2021/proposal_TURBULENT.html" target="_blank">ML4SCI </a>
</p> -->
<!-- <h5 class="my-3">Coding Phase Begins</h5>
<p>I will keep updating this frequently. Looking forward to an amazing summer. Till then</p>
<pre>
<code>
CodingPase.start()
while 10 Weeks:
read()
ideate()
code()
document()
print("GSoC completed successfully !")
</code>
</pre> -->
<p>
Constructing the covariance matrix, we calculate the eigenvalues of the matrix and plot them for each timestamp.
The eigenvalues for a particular timestamp in transitional flow are plotted below which do not quite capture the motion, the implementation needs to be improved and modified
</p>
<figure class="blog-banner">
<a href="https://made4dev.com"><img class="img-fluid" src="assets/images/Post1-banner.png" alt="image"></a>
</figure>
<p>
There are a lot of improvements to be made in the implementation which include parallelizing the code and using trapezoid rule to approximate the riemann integral for the eigenvalue computation.
I would be finalizing this before moving onto actual data. I would be updating the further work in another post
</p>
</div>
<nav class="blog-nav nav nav-justified my-5">
<a class="nav-link-prev nav-item nav-link rounded-left" href="blog-post.html">Previous<i class="arrow-prev fas fa-long-arrow-alt-left"></i></a>
<a class="nav-link-next nav-item nav-link rounded-right" href="blog-post-2.html">Next<i class="arrow-next fas fa-long-arrow-alt-right"></i></a>
</nav>
</div><!--//container-->
</article>
<!--
<section class="promo-section theme-bg-light py-5 text-center">
<div class="container">
<h2 class="title">Promo Section Heading</h2>
<p>You can use this section to promote your side projects etc. Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean commodo ligula eget dolor. Aenean massa. </p>
<figure class="promo-figure">
<a href="https://made4dev.com" target="_blank"><img class="img-fluid" src="assets/images/promo-banner.jpg" alt="image"></a>
</figure>
</div><!--//container-->
</section><!--//promo-section-->
-->
</div><!--//main-wrapper-->
<!-- *****CONFIGURE STYLE (REMOVE ON YOUR PRODUCTION SITE)****** -->
<div id="config-panel" class="config-panel d-none d-lg-block">
<div class="panel-inner">
<a id="config-trigger" class="config-trigger config-panel-hide text-center" href="#"><i class="fas fa-cog fa-spin mx-auto" data-fa-transform="down-6" ></i></a>
<h5 class="panel-title">Choose Colour</h5>
<ul id="color-options" class="list-inline mb-0">
<li class="theme-1 active list-inline-item"><a data-style="assets/css/theme-1.css" href="#"></a></li>
<li class="theme-2 list-inline-item"><a data-style="assets/css/theme-2.css" href="#"></a></li>
<li class="theme-3 list-inline-item"><a data-style="assets/css/theme-3.css" href="#"></a></li>
<li class="theme-4 list-inline-item"><a data-style="assets/css/theme-4.css" href="#"></a></li>
<li class="theme-5 list-inline-item"><a data-style="assets/css/theme-5.css" href="#"></a></li>
<li class="theme-6 list-inline-item"><a data-style="assets/css/theme-6.css" href="#"></a></li>
<li class="theme-7 list-inline-item"><a data-style="assets/css/theme-7.css" href="#"></a></li>
<li class="theme-8 list-inline-item"><a data-style="assets/css/theme-8.css" href="#"></a></li>
</ul>
<a id="config-close" class="close" href="#"><i class="fa fa-times-circle"></i></a>
</div><!--//panel-inner-->
</div><!--//configure-panel-->
<!-- Javascript -->
<script src="assets/plugins/jquery-3.4.1.min.js"></script>
<script src="assets/plugins/popper.min.js"></script>
<script src="assets/plugins/bootstrap/js/bootstrap.min.js"></script>
<!-- Page Specific JS -->
<script src="//cdnjs.cloudflare.com/ajax/libs/highlight.js/9.14.2/highlight.min.js"></script>
<!-- Custom JS -->
<script src="assets/js/blog.js"></script>
<!-- Style Switcher (REMOVE ON YOUR PRODUCTION SITE) -->
<script src="assets/js/demo/style-switcher.js"></script>
</body>
</html>