-
Notifications
You must be signed in to change notification settings - Fork 59
/
fem2d_stokes_channel.html
247 lines (218 loc) · 6.76 KB
/
fem2d_stokes_channel.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
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
<html>
<head>
<title>
FEM2D_STOKES_CHANNEL - "Channel" Routines for FEM2D_STOKES
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM2D_STOKES_CHANNEL <br> "Channel" Routines for FEM2D_STOKES
</h1>
<hr>
<p>
<b>FEM2D_STOKES_CHANNEL</b>
is a FORTRAN90 library which
supplies information defining a Stokes flow problem in a channel.
The channel is a rectangular region that is 3 units wide and 1 unit
high.
</p>
<p>
To run the problem directly, you only need the user-supplied routines
in <b>channel.f90</b>, the node data in <b>nodes6.txt</b>, and the
element data in <b>triangles6.txt</b>.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
You compile and link the solver with <b>cavity.f90</b>, using
commands like:
<pre>
gfortran fem2d_stokes.f90 channel.f90
mv a.out channel
</pre>
and then run the program with the command
<pre>
./channel nodes6.txt triangles6.txt
</pre>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this
web page are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/fem2d_stokes/fem2d_stokes.html">
FEM2D_STOKES</a>,
a FORTRAN90 program which
solves the 2D incompressible Stokes equations in an
arbitrary triangulated region.
In order to run, it requires
user-supplied routines that define problem data.
</p>
<p>
<a href = "../../f_src/fem2d_stokes_cavity/fem2d_stokes_cavity.html">
FEM2D_STOKES_CAVITY</a>,
a FORTRAN90 library which
contains the user-supplied routines necessary to run <b>fem2d_stokes</b>
on the "cavity" problem.
</p>
<p>
<a href = "../../f_src/fem2d_stokes_inout/fem2d_stokes_inout.html">
FEM2D_STOKES_INOUT</a>,
a FORTRAN90 library which
contains the user-supplied routines necessary to run <b>fem2d_stokes</b>
on the "inout" problem.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "channel.f90">channel.f90</a>,
the user-supplied routines to evaluate the right hand side
and boundary conditions;
</li>
<li>
<a href = "channel.sh">channel.sh</a>,
commands to compile the user routines, link them with
the partial program, and run the program;
</li>
<li>
<a href = "channel_output.txt">channel_output.txt</a>,
output from a run of the program;
</li>
</ul>
</p>
<p>
The geometry is defined by sets of nodes and triangles.
The velocities use the full set of nodes,
and quadratic (6 node) triangles.
<ul>
<li>
<a href = "nodes6.txt">nodes6.txt</a>,
a text file containing the velocity nodes;
</li>
<li>
<a href = "nodes6.png">nodes6.png</a>,
a PNG image of
the velocity nodes;
</li>
<li>
<a href = "triangles6.txt">triangles6.txt</a>,
the quadratic triangulation;
</li>
<li>
<a href = "triangles6.png">triangles6.png</a>,
a PNG image of
the order 6 triangulation;
</li>
</ul>
</p>
<p>
The pressures are associated with a subset of the nodes
called "pressure nodes", and linear (3 node) triangles.
Note that, in the order 3 triangulation, the nodes are renumbered,
and do NOT inherit the labels used in the order 6 triangulation.
<ul>
<li>
<a href = "nodes3.txt">nodes3.txt</a>,
a text file containing the pressure nodes;
</li>
<li>
<a href = "nodes3.png">nodes3.png</a>,
a PNG image of
the pressure nodes;
</li>
<li>
<a href = "triangles3.txt">triangles3.txt</a>,
the linear triangulation;
</li>
<li>
<a href = "triangles3.png">triangles3.png</a>,
a <a href = "../../data/png/png.html">PNG</a> image of
the linear triangulation;
</li>
</ul>
</p>
<p>
The pressures are a scalar quantity associated with the pressure
nodes, the velocities are a vector quantity associated with the
vector nodes.
<ul>
<li>
<a href = "pressure3.txt">pressure3.txt</a>,
a text file containing the pressure P at each linear node;
</li>
<li>
<a href = "pressure3.png">pressure3.png</a>,
a PNG image of
a contour plot of the pressure, produced by
<a href =
"../../m_src/triangulation_order3_contour/triangulation_order3_contour.html">
TRIANGULATION_ORDER3_CONTOUR</a>.
</li>
<li>
<a href = "velocity6.txt">velocity6.txt</a>,
a text file containing the velocity (U,V) at each velocity node;
</li>
<li>
<a href = "velocity6_dir.png">velocity6_dir.png</a>,
a PNG image of
the velocity direction field, created by
<a href = "../../f_src/vector_plot/vector_plot.html">
VECTOR_PLOT.</a>
</li>
<li>
<a href = "velocity6_vec.png">velocity6_vec.png</a>,
a PNG image of
the velocity field, created by
<a href = "../../f_src/vector_plot/vector_plot.html">
VECTOR_PLOT.</a>
</li>
<li>
<a href = "velocity6_arrows.png">velocity6_arrows.png</a>,
a PNG image of the velocity field, created by
<a href = "../../m_src/velocity_arrows/velocity_arrows.html">
VELOCITY_ARROWS.</a>
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>BOUNDARY_TYPE</b> determines the type of boundary conditions imposed.
</li>
<li>
<b>DIRICHLET_CONDITION</b> sets the value of a Dirichlet boundary condition.
</li>
<li>
<b>NEUMANN_CONDITION</b> sets the value of any Neumann boundary conditions.
</li>
<li>
<b>RHS</b> gives the right-hand side of the differential equation.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 27 December 2010.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>