RUN_04
A run of POD_BASIS

This run of POD_BASIS takes the CAVITY_FLOW data, applies mass matrix preconditioning, and seeks 16 POD vectors.

• run_04.inp, the input file to POD_BASIS;
• run_04.out, the output of the run.

Note, from the output file, the singular values associated with each POD vector, which indicate its relative importance:

Vector	Singular value
1	3.5795
2	1.6892
3	1.0027
4	0.3563
5	0.1554
6	0.0885
7	0.0656
8	0.0580
9	0.0417
10	0.0268
11	0.0216
12	0.0106
13	0.0085
14	0.0048
15	0.0033
16	0.0021

The main output of the run is the POD vectors, each in a separate file, which can be regarded as flow solutions:

• pod_001.txt, POD vector 1.
• pod_002.txt, POD vector 2.
• pod_003.txt, POD vector 3
• pod_004.txt, POD vector 4.
• pod_005.txt, POD vector 5.
• pod_006.txt, POD vector 6.
• pod_007.txt, POD vector 7
• pod_008.txt, POD vector 8.
• pod_009.txt, POD vector 9.
• pod_010.txt, POD vector 10.
• pod_011.txt, POD vector 11
• pod_012.txt, POD vector 12.
• pod_013.txt, POD vector 13.
• pod_014.txt, POD vector 14.
• pod_015.txt, POD vector 15
• pod_016.txt, POD vector 16.

Each of the POD vectors can be plotted by VECTOR_PLOT, using the xy.txt file from the CAVITY_FLOW database. I only plotted the first four:

• pod_001_dir.png, a PNG image of direction field #1.
• pod_001_vec.png, a PNG image of vector field #1.
• pod_002_dir.png, a PNG image of direction field #2.
• pod_002_vec.png, a PNG image of vector field #2.
• pod_003_dir.png, a PNG image of direction field #3.
• pod_003_vec.png, a PNG image of vector field #3.
• pod_004_dir.png, a PNG image of direction field #4.
• pod_004_vec.png, a PNG image of vector field #4.

You can go up to the POD_BASIS_FLOW page.