-
Notifications
You must be signed in to change notification settings - Fork 59
/
vector_plot.html
516 lines (468 loc) · 14.6 KB
/
vector_plot.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
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
<html>
<head>
<title>
VECTOR_PLOT - Plot a 2D Vector Field
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
VECTOR_PLOT <br> Plot a 2D Vector Field
</h1>
<hr>
<p>
<b>VECTOR_PLOT</b>
is a FORTRAN90 program which
plots a 2D vector field at scattered points.
</p>
<p>
<b>VECTOR_PLOT</b> reads a file of (X,Y) locations, and a file of
(U,V) vector values, and draws
a plot of the corresponding vector field (U(X,Y), V(X,Y)),
and of the normalized direction field.
</p>
<p>
<b>VECTOR_PLOT</b> requires the user to specify a "scale factor"
for the size of the vectors. A factor of 1.0 is normal, and
corresponds to drawing the trail of particles that have traveled
for one time unit under the influence of the given velocity.
A factor of 0.5 or 2.0 might be used to shorten or lengthen the vectors.
</p>
<p>
<b>VECTOR_PLOT</b> requires the user to specify a "thinning factor"
to discard some of the data. A factor of 1 keeps all the data.
A factor of 2 should throw away about every other column and every
other row of data (if the (X,Y) coordinates fall on a regular grid.)
Thinning the data is a crude but useful tool, because most data files
contain far too many vectors to plot.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>vector_plot</b> <i>xy_file</i> <i>uv_file</i>
</blockquote>
where
<ul>
<li>
<i>xy_file</i> is a list of the XY coordinates of nodes;
</li>
<li>
<i>uv_file</i> is a corresponding list of UV velocity components.
</li>
</ul>
</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/bump/bump.html">
BUMP</a>,
a FORTRAN90 program which
uses the finite element method
to study the influence of an obstacle in channel flow. The velocity
field can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/case1_flow/case1_flow.html">
CASE1_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/cavity_flow/cavity_flow.html">
CAVITY_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../f_src/channel/channel.html">
CHANNEL</a>,
a FORTRAN90 program which
uses the finite element method
to study flow in a channel. The velocity field can be plotted by
<b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../m_src/direction_arrows/direction_arrows.html">
DIRECTION_ARROWS</a>,
a MATLAB program which
can plot direction
fields.
</p>
<p>
<a href = "../../m_src/direction_arrows_grid/direction_arrows_grid.html">
DIRECTION_ARROWS_GRID</a>,
a MATLAB program which
reads files of
node and velocity data, and, using interpolation, creates a
velocity direction plot with arrows
place on a uniform grid of the user's specification.
</p>
<p>
<a href = "../../m_src/direction_arrows_sequence/direction_arrows_sequence.html">
DIRECTION_ARROWS_SEQUENCE</a>,
a MATLAB program which
can plot
a sequence of direction fields for an animation.
</p>
<p>
<a href = "../../m_src/direction_arrows_sequence2/direction_arrows_sequence2.html">
DIRECTION_ARROWS_SEQUENCE2</a>,
a MATLAB program which
can plot
a sequence of direction fields for an animation.
</p>
<p>
<a href = "../../m_src/direction_arrows2/direction_arrows2.html">
DIRECTION_ARROWS2</a>,
a MATLAB program which
can plot direction
fields.
</p>
<p>
<a href = "../../datasets/inout_flow/inout_flow.html">
INOUT_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/inout_flow2/inout_flow2.html">
INOUT_FLOW2</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../f_src/mhd_flow/mhd_flow.html">
MHD_FLOW</a>,
a FORTRAN90 program which
computes velocity fields
which can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/tcell_flow/tcell_flow.html">
TCELL_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../m_src/vector_magnitude_grid/vector_magnitude_grid.html">
VECTOR_MAGNITUDE_GRID</a>,
a MATLAB program which
reads
node and vector data from a file, computes an interpolatory function,
evaluates on a uniform grid of points specified by the user,
and displays a contour plot of the vector magnitude.
</p>
<p>
<a href = "../../m_src/vector_stream_grid/vector_stream_grid.html">
VECTOR_STREAM_GRID</a>,
a MATLAB program which
reads
node and vector data from a file, computes an interpolatory function,
evaluates on a uniform grid of points specified by the user,
and displays a streamline plot of the vector field.
</p>
<p>
<a href = "../../m_src/velocity_arrows/velocity_arrows.html">
VELOCITY_ARROWS</a>,
a MATLAB program which
can plot velocity
fields.
</p>
<p>
<a href = "../../m_src/velocity_arrows_grid/velocity_arrows_grid.html">
VELOCITY_ARROWS_GRID</a>,
a MATLAB program which
reads files of
node and velocity data, and, using interpolation, creates a
vector plot with arrows
place on a uniform grid of the user's specification.
</p>
<p>
<a href = "../../m_src/velocity_arrows_grid2/velocity_arrows_grid2.html">
VELOCITY_ARROWS_GRID2</a>,
a MATLAB program which
reads a single file of
node and velocity data, and using interpolation is
able to display a velocity vector field along any uniform grid
of points specified by the user.
</p>
<p>
<a href = "../../m_src/velocity_arrows_sequence/velocity_arrows_sequence.html">
VELOCITY_ARROWS_SEQUENCE</a>,
a MATLAB program which
can plot
a sequence of velocity fields for an animation.
</p>
<p>
<a href = "../../m_src/velocity_arrows_sequence2/velocity_arrows_sequence2.html">
VELOCITY_ARROWS_SEQUENCE2</a>,
a MATLAB program which
can plot
a sequence of velocity fields for an animation.
</p>
<p>
<a href = "../../m_src/velocity_arrows2/velocity_arrows2.html">
VELOCITY_ARROWS2</a>,
a MATLAB program which
can plot velocity fields.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "vector_plot.f90">vector_plot.f90</a>, the source code.
</li>
<li>
<a href = "vector_plot.sh">vector_plot.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
Here is some data from a
<a href = "../../datasets/tcell_flow/tcell_flow.html">
tcell_flow</a> calculation:
<ul>
<li>
<a href = "tcell_xy.txt">tcell_xy.txt</a>,
the X, Y locations.
</li>
<li>
<a href = "tcell_uv.txt">tcell_uv.txt</a>,
the U, V velocity component values.
</li>
<li>
<a href = "tcell_dir.png">
tcell_dir.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the velocity direction field,
with a thinning factor of 3.
</li>
<li>
<a href = "tcell_vec.png">
tcell_vec.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the vector field,
with a thinning factor of 3.
</li>
</ul>
</p>
<p>
Here is some test data from the
<a href = "../../f_src/mhd_flow/mhd_flow.html">MHD_FLOW</a> program.
Test files you may copy include:
<ul>
<li>
<a href = "mhd_xy.txt">mhd_xy.txt</a>,
the X, Y locations.
</li>
<li>
<a href = "mhd_uv.txt">mhd_uv.txt</a>,
the U, V velocity component values.
</li>
<li>
<a href = "mhd_dir.png">
mhd_dir.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the velocity direction field,
with a thinning factor of 3.
</li>
<li>
<a href = "mhd_vec.png">
mhd_vec.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the vector field,
with a thinning factor of 3.
</li>
</ul>
</p>
<p>
Here is some spiral test data.
Test files you may copy include:
<ul>
<li>
<a href = "spiral_xy.txt">spiral_xy.txt</a>,
the X, Y locations.
</li>
<li>
<a href = "spiral_uv.txt">spiral_uv.txt</a>,
the U, V velocity component values.
</li>
<li>
<a href = "spiral_dir.png">
spiral_dir.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the velocity direction field.
</li>
<li>
<a href = "spiral_vec.png">
spiral_vec.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the vector field.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for VECTOR_PLOT.
</li>
<li>
<b>BOX_SEGMENT_CLIP_2D</b> uses a box to clip a line segment in 2D.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is a case insensitive comparison of two characters for equality.
</li>
<li>
<b>CH_IS_DIGIT</b> returns .TRUE. if a character is a decimal digit.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>DATA_D2_READ</b> reads a data set of double precision pairs stored in a file.
</li>
<li>
<b>DATA_SIZE</b> counts the size of a data set stored in a file.
</li>
<li>
<b>DIGIT_TO_CH</b> returns the character representation of a decimal digit.
</li>
<li>
<b>DIRECTION_FIELD</b> plots a vector field.
</li>
<li>
<b>EPS_FILE_HEAD</b> writes header information to an encapsulated PostScript file.
</li>
<li>
<b>EPS_FILE_TAIL</b> writes trailer information to an encapsulated PostScript file.
</li>
<li>
<b>FILE_NAME_APPEND</b> appends a string to a filename, before the extension.
</li>
<li>
<b>FILE_NAME_EXT_GET</b> determines the "extension" of a file name.
</li>
<li>
<b>FILE_NAME_EXT_SWAP</b> replaces the current "extension" of a file name.
</li>
<li>
<b>GET_UNIT</b> returns a free FORTRAN unit number.
</li>
<li>
<b>I4_SWAP</b> swaps two integer values.
</li>
<li>
<b>PS_ARROW</b> draws an arrow from (X1,Y1) to (X2,Y2).
</li>
<li>
<b>PS_COLOR_LINE</b> handles the line color.
</li>
<li>
<b>PS_COLOR_LINE_SET</b> sets the line color.
</li>
<li>
<b>PS_COMMENT</b> inserts a comment into the PostScript file.
</li>
<li>
<b>PS_DEFAULT</b> sets the internal settings to their default values
</li>
<li>
<b>PS_FILE_CLOSE</b> closes a PostScript file.
</li>
<li>
<b>PS_FILE_HEAD</b> writes header information to a PostScript file.
</li>
<li>
<b>PS_FILE_OPEN</b> opens a new version of a PostScript file with a given name.
</li>
<li>
<b>PS_FILE_TAIL</b> writes trailer information to a PostScript file.
</li>
<li>
<b>PS_LINE_CLOSED</b> adds the graph of a closed line to a PostScript file.
</li>
<li>
<b>PS_PAGE_HEAD</b> writes header information on a new page.
</li>
<li>
<b>PS_PAGE_TAIL</b> writes tail information at the end of a page.
</li>
<li>
<b>PS_SETTING_INT</b> sets, gets, or prints integer internal PS_WRITE parameters.
</li>
<li>
<b>PS_SETTING_REAL</b> sets, gets, or prints real internal PS_WRITE parameters.
</li>
<li>
<b>R8_SWAP</b> swaps two R8's.
</li>
<li>
<b>R8VEC_SORT_BUBBLE_A</b> ascending bubble sorts an R8VEC.
</li>
<li>
<b>S_EQI</b> is a case insensitive comparison of two strings for equality.
</li>
<li>
<b>S_INDEX_LAST</b> finds the LAST occurrence of a given substring.
</li>
<li>
<b>S_OF_I4</b> converts an integer to a left-justified string.
</li>
<li>
<b>S_TO_R8</b> reads an R8 from a string.
</li>
<li>
<b>S_WORD_COUNT</b> counts the number of "words" in a string.
</li>
<li>
<b>THIN_INDEX</b> determines thinning indices for a X, Y data.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TIMESTRING</b> writes the current YMDHMS date into a string.
</li>
<li>
<b>VECTOR_FIELD</b> plots a vector field.
</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 15 November 2006.
</i>
<!-- John Burkardt -->
</body>
</html>