## Group Goodwin

Group Description |
Fluid mechanics matrices from Ralph Goodwin Matrices from 2018: Finite element discretization of the Navier-Stokes and similar transport equations on various geometries: Goodwin_010 Goodwin_013 Goodwin_017 Goodwin_023 Goodwin_030 Goodwin_040 Goodwin_054 Goodwin_071 Goodwin_095 Goodwin_127 Matrices from 1995: The goodwin.rua matrix: A finite-element matrix from Ralph Goodwin, Chemical Engineering Dept., Univ. of Illinois at Urbana-Champaign. A fluid mechanics problem. From a nonlinear solver (Newton iterations. Uses several back substitutions for the Sherman-Morrison formula to deal with a dense row (not given in the matrix). The matrix was originally obtained in triplet (i,j,a_ij) format, with lots of duplicate entries (from unassembled finite elements). Converted (and duplicates assembled) into RUA format by Tim Davis. email: ralph :at the domain: wsnext.scs.uiuc.edu The rim.rua matrix: n=22560, nz=1014951. Originally in triplet format with duplicate entries. See comments below: From ralph :at the domain: wsnext.scs.uiuc.edu Mon May 22 16:31:26 1995 Tim, I have another matrix that may interest you. It is similar to the matrix that you added to the Boeing-Harwell library. THere are 22560 equations. The frontwidth is about 144. However pivoting consideration cause the frontwidth to grow to 2174. I have not tried using UMFPACK with this matrix because my code requires 287 Mbytes to store the LU factors, and therefore goes out-of-core. Still if you are interested in a matrix that appears to have severe pivoting problems and is big then I have one for you. Ralph Goodwin From ralph :at the domain: wsnext Fri May 26 08:03:45 1995 Tim, I solved my problem of excessive front width growth by rescaling the rows of the matrix, so I guess I sounded a false alarm. Previously, the front would grow from 155 to 2300, now it stays at 144. I rescaled by the 1 norm of each row. Ralph From ralph :at the domain: wsnext.scs.uiuc.edu Fri May 26 14:27:21 1995 Tim, I ftped the matrix to you. It is in the directory incoming and is named rim.mat.gz. It is a 15Mb file that uncompresses to about 42Mb. The matrix is stored in triple format with the first two lines being the order of the matrix and the number of nonzeroes. There are duplicate nonzeroes that must be summed. Earlier I said that I scaled the rows by their 1 norm. This is not exactly correct. I scaled by the 1 norm of the *unsummed* nonzeroes in the row, which is of course different than the 1 norm of the row. Ralph From ralph :at the domain: wsnext.scs.uiuc.edu Fri May 26 14:53:18 1995 Yes, it is from the same application. The physical properties are different (viscosity, density, ...) but otherwise it is the same problem. One more thing about this problem is that it involves not only solving the steady Navier-Stokes (N-S) equations but also solving a pair of elliptic mesh generation (EMG) equations. The EMG equations are coupled to the N-S equations by boundary conditions. So the system of equations represented by the matrix I sent you (and also goodwin.rua) is both N-S equations and EMG equations all discretized using quadrilateral biquadratic finite elements. The main point is that the matrix is not just a discretization of the N-S equations. Ralph Minor change, 3/31/03: "rua" changed to "RUA", in rim.rua header. |
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Displaying

**all 12**matricesId | Name | Group | Rows | Cols | Nonzeros | Kind | Date | Download File |
---|---|---|---|---|---|---|---|---|

446 | goodwin | Goodwin | 7,320 | 7,320 | 324,772 | Computational Fluid Dynamics Problem | 1995 | MATLAB Rutherford Boeing Matrix Market |

447 | rim | Goodwin | 22,560 | 22,560 | 1,014,951 | Computational Fluid Dynamics Problem | 1995 | MATLAB Rutherford Boeing Matrix Market |

2817 | Goodwin_010 | Goodwin | 1,182 | 1,182 | 32,282 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2818 | Goodwin_013 | Goodwin | 1,965 | 1,965 | 56,069 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2819 | Goodwin_017 | Goodwin | 3,317 | 3,317 | 97,773 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2820 | Goodwin_023 | Goodwin | 6,005 | 6,005 | 182,168 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2821 | Goodwin_030 | Goodwin | 10,142 | 10,142 | 312,814 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2822 | Goodwin_040 | Goodwin | 17,922 | 17,922 | 561,677 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2823 | Goodwin_054 | Goodwin | 32,510 | 32,510 | 1,030,878 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2824 | Goodwin_071 | Goodwin | 56,021 | 56,021 | 1,797,934 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2825 | Goodwin_095 | Goodwin | 100,037 | 100,037 | 3,226,066 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |

2826 | Goodwin_127 | Goodwin | 178,437 | 178,437 | 5,778,545 | Computational Fluid Dynamics | 2018 | MATLAB Rutherford Boeing Matrix Market |