Matrix: Rudnyi/water_tank

Description: 3D fluid flow: water in a tank. Evgenii Rudnyi, IMTEK

Rudnyi/water_tank graph Rudnyi/water_tank graph
(bipartite graph drawing) (graph drawing of A+A')

Rudnyi/water_tank dmperm of Rudnyi/water_tank

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  • Matrix group: Rudnyi
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  • download as a MATLAB mat-file, file size: 8 MB. Use UFget(1880) or UFget('Rudnyi/water_tank') in MATLAB.
  • download in Matrix Market format, file size: 16 MB.
  • download in Rutherford/Boeing format, file size: 12 MB.

    Matrix properties
    number of rows60,740
    number of columns60,740
    nonzeros2,035,281
    structural full rank?yes
    structural rank60,740
    # of blocks from dmperm2
    # strongly connected comp.2
    explicit zero entries0
    nonzero pattern symmetry 97%
    numeric value symmetry 92%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorE. Rudnyi
    editorT. Davis
    date2007
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD43,517,210
    Cholesky flop count1.0e+11
    nnz(L+U), no partial pivoting, with AMD86,973,680
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD58,640,746
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD108,286,984

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.