Matrix: Engwirda/airfoil_2d

Description: Unstructured 2D mesh (airfoil), from Darren Engwirda

Engwirda/airfoil_2d graph Engwirda/airfoil_2d graph
(bipartite graph drawing) (graph drawing of A+A')

Engwirda/airfoil_2d dmperm of Engwirda/airfoil_2d
Engwirda/airfoil_2d graph

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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(1319) or UFget('Engwirda/airfoil_2d') in MATLAB.
  • download in Matrix Market format, file size: 4 MB.
  • download in Rutherford/Boeing format, file size: 3 MB.

    Matrix properties
    number of rows14,214
    number of columns14,214
    structural full rank?yes
    structural rank14,214
    # of blocks from dmperm638
    # strongly connected comp.638
    explicit zero entries0
    nonzero pattern symmetry 98%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorD. Engwirda
    editorT. Davis
    kindcomputational fluid dynamics problem
    2D/3D problem?yes

    Additional fieldssize and type
    coordfull 14214-by-2
    tfull 27748-by-3



    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD1,188,344
    Cholesky flop count1.8e+08
    nnz(L+U), no partial pivoting, with AMD2,362,474
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,623,733
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD3,133,402

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    Engwirda/airfoil_2d svd

    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.