Matrix: Raju/laminar_duct3D

Description: 3D laminar flow in a duct, mesh 50x30x10. M. Raju, Case W. Univ.

Raju/laminar_duct3D graph Raju/laminar_duct3D graph
(bipartite graph drawing) (graph drawing of A+A')

Raju/laminar_duct3D dmperm of Raju/laminar_duct3D
scc of Raju/laminar_duct3D

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  • download as a MATLAB mat-file, file size: 17 MB. Use UFget(1399) or UFget('Raju/laminar_duct3D') in MATLAB.
  • download in Matrix Market format, file size: 31 MB.
  • download in Rutherford/Boeing format, file size: 25 MB.

    Matrix properties
    number of rows67,173
    number of columns67,173
    nonzeros3,788,857
    structural full rank?yes
    structural rank67,173
    # of blocks from dmperm13,025
    # strongly connected comp.13,025
    explicit zero entries44,220
    nonzero pattern symmetry 90%
    numeric value symmetry 55%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Raju
    editorT. Davis
    date2006
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 67173-by-1

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD51,082,215
    Cholesky flop count1.0e+11
    nnz(L+U), no partial pivoting, with AMD102,097,257
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD79,031,274
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD199,934,271

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 44220 explicit zero entries.

    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.