October  8 2004  12:06:28.267 PM
 
POD_BASIS_FLOW
  Given a PDE for which:
    M is the dimension of each solution vector,
    N is the number of solution vectors,
 
  Set up A, the M by N matrix of solution vectors,
 
  Get A = U * S * V', the singular value decomposition.
 
 
  The variable RUN_TYPE determines preprocessing:
* 1, NO steady state file, no preprocessing;
* 2, NO steady state file, no preprocessing;
* 3,    steady state file;
    subtract 1/3 SS from solution  1
    subtract 5/3 SS from solutions 2 through 201
    subtract 1/3 SS from solutions 202 through 401.
* 4,    steady state file;
    subtract 1/3 SS from solution  1
    subtract 5/3 SS from solutions 2 through 201
    subtract 1/3 SS from solutions 202 through 401.
    discard the EVEN numbered data files.
* 5,    steady state file;
    subtract 1/3 SS from solution  1
    subtract 5/3 SS from solutions 2 through 201
    subtract 1/3 SS from solutions 202 through 401.
    normalize the data.
* 6,    steady state file;
    subtract 5/3 SS from solutions 1 through 250
    subtract 1/3 SS from solutions 251 through 500.
    do NOT normalize the result.
* 7,    steady state file;
    subtract 5/3 SS from solutions 1 through 250
    subtract 1/3 SS from solutions 251 through 500.
    NORMALIZE the result.
    discard the ODD numbered data files.
* 8,    steady state file;
    subtract 5/3 SS from solutions 1 through 250
    subtract 1/3 SS from solutions 251 through 500.
    do NOT normalize the result.
 
What is the run type (1-8)?
 
  RUN_TYPE =      1
 
What is the requested basis size?
 
  BASIS_NUM =     16
 
  What is the XY data file name?
 
  The file "/a/fs.csit.fsu.edu/u8/users/burkardt/public_html/datasets/cavity_flow/xy.txt" contains 1681 lines.
 
  X minimum :    0.00000    
  X maximum :    1.00000    
  Y minimum :    0.00000    
  Y maximum :    1.00000    
 
What is the name of the steady state file or "none"?
 
  Steady state information was read from
  the file "/a/fs.csit.fsu.edu/u8/users/burkardt/public_html/datasets/cavity_flow/steady.txt".
 
  Steady max norm =    3.00000    
  Steady l2 norm =     33.7950    
 
  It is time to read sets of solution files.
 
  We assume that a series of solution files exists,
  with "consecutive" names, like
    fred001.txt, fred002,txt, ...
  Just specify the FIRST name in the series, and
  the program will read them all.
 
  The program can read another series of data if
  you specify yet another first name, or you can
  type "none" when there are no more file series.
 
 
What is the first solution file (in the first series)?
 
What is the first solution file (in the NEXT series) or "none"?
 
  The number of initial solution files is      1
  The total number of solution files is    500
 
  The data is stored in an M by N matrix.
 
  The "spatial" dimension M is     3362
  The number of data points N is    500
 
 
  Processing files starting with "/a/fs.csit.fsu.edu/u8/users/burkardt/public_html/datasets/cavity_flow/up001.txt".
  Reading file      1  /a/fs.csit.fsu.edu/u8/users/burkardt/public_html/datasets/cavity_flow/up001.txt
  Reading file    500  /a/fs.csit.fsu.edu/u8/users/burkardt/public_html/datasets/cavity_flow/up500.txt
 
  All the data has been read into POINT.
 
  Enter element file for mass matrix preconditioning or "None".
 
SINGULAR_VECTORS
  For an MxN matrix A in general storage,
  SGESVD computes the singular value decomposition:
    A = U * S * V'
 
 
  Singular values:
 
   1  886.9574
   2  106.1726
   3   37.2028
   4   28.6291
   5   12.0429
   6    5.9523
   7    3.4108
   8    2.3653
   9    1.6838
  10    1.1100
  11    0.8794
  12    0.4291
  13    0.3541
  14    0.2086
  15    0.1435
  16    0.0918
 
POD_BASIS_FLOW:
  Ready to write the left singular vectors to files.
 
  Do you want comments in the header of the file?
  (These begin with the "#" character.) (Y/N)
 
  Enter Y or N:
 
  Writing first file pod_001.txt
  Writing last file  pod_016.txt
 
  CPU time in seconds:
    For Mass matrix:    0.00000    
    For SVD:            28.3838    
    Total:              28.3838    
 
POD_BASIS_FLOW
  Normal end of execution.
 
October  8 2004  12:07:13.908 PM