A Parallel Multigrid Preconditioned Conjugate Gradient Algorithm for Groundwater Flow Simulations
The numerical simulation of groundwater flow through heterogeneous porous media is discussed. The focus is on the performance of a parallel multigrid preconditioner for accelerating convergence of conjugate gradients, which is used to compute the pressure head. The numerical investigation considers...
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| Veröffentlicht in: | Nuclear science and engineering Jg. 124; H. 1; S. 145 - 159 |
|---|---|
| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
La Grange Park, IL
Taylor & Francis
01.09.1996
American Nuclear Society |
| Schlagworte: | |
| ISSN: | 0029-5639, 1943-748X |
| Online-Zugang: | Volltext |
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| Abstract | The numerical simulation of groundwater flow through heterogeneous porous media is discussed. The focus is on the performance of a parallel multigrid preconditioner for accelerating convergence of conjugate gradients, which is used to compute the pressure head. The numerical investigation considers the effects of boundary conditions, coarse grid solver strategy, increasing the grid resolution, enlarging the domain, and varying the geostatistical parameters used to define the subsurface realization. Scalability is also examined. The results were obtained using the ParFlow groundwater flow simulator on the CRAY T3D massively parallel computer. |
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| AbstractList | The numerical simulation of groundwater flow through heterogeneous porous media is discussed. The focus is on the performance of a parallel multigrid preconditioner for accelerating convergence of conjugate gradients, which is used to compute the pressure head. The numerical investigation considers the effects of boundary conditions, coarse grid solver strategy, increasing the grid resolution, enlarging the domain, and varying the geostatistical parameters used to define the subsurface realization. Scalability is also examined. The results were obtained using the PARFLOW groundwater flow simulator on the CRAY T3D massively parallel computer. |
| Author | Falgout, Robert D. Ashby, Steven F. |
| Author_xml | – sequence: 1 givenname: Steven F. surname: Ashby fullname: Ashby, Steven F. organization: Lawrence Livermore National Laboratory – sequence: 2 givenname: Robert D. surname: Falgout fullname: Falgout, Robert D. organization: Lawrence Livermore National Laboratory |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=3247969$$DView record in Pascal Francis |
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| References_xml | – volume: 25 start-page: 1440 year: 1989 ident: CIT0008 publication-title: Water Resour. Res. doi: 10.1029/WR025i006p01440 – volume: 56 start-page: 229 year: 1989 ident: CIT0011 publication-title: Numer. Math. doi: 10.1007/BF01409786 – volume: 30 start-page: 215 year: 1993 ident: CIT0012 publication-title: SIAM J. Numer. Anal. doi: 10.1137/0730010 – volume: 27 start-page: 1542 year: 1990 ident: CIT0017 publication-title: SIAMJ. Numer. Anal. doi: 10.1137/0727091 – ident: CIT0013 publication-title: SIAM J. Sci. Comput. – volume: 16 start-page: 307 year: 1995 ident: CIT0010 publication-title: SIAMJ. Sci. Comput. doi: 10.1137/0916020 – volume: 48 start-page: 366 year: 1982 ident: CIT0015 publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(82)90057-2 – volume: 2 start-page: 430 year: 1981 ident: CIT0014 publication-title: SIAMJ. Sci. Stat. Comput. doi: 10.1137/0902035 – volume: 110 start-page: 413 volume-title: Multigrid Methods: Theory, Applications, and Supercomputing year: 1988 ident: CIT0020 – volume: 25 start-page: 2227 year: 1989 ident: CIT0004 publication-title: Water Resour. Res. doi: 10.1029/WR025i010p02227 – volume-title: Scientific Computing: An Introduction with Parallel Computing year: 1993 ident: CIT0009 doi: 10.1016/B978-0-12-289253-0.50005-1 – volume: 4 start-page: 549 year: 1989 ident: CIT0002 publication-title: Transport in Porous Media doi: 10.1007/BF00223627 – start-page: 309 volume-title: Sparse Matrix Computations year: 1976 ident: CIT0007 doi: 10.1016/B978-0-12-141050-6.50023-4 – volume: 13 start-page: 261 year: 1983 ident: CIT0019 publication-title: Appl. Math. Comput. – volume: 110 start-page: 63 volume-title: Multigrid Methods: Theory, Applications, and Supercomputing year: 1988 ident: CIT0021 – volume: 49 start-page: 409 year: 1952 ident: CIT0006 publication-title: J. Res. Natl. Bur. Standards doi: 10.6028/jres.049.044 – volume: 24 start-page: 139 volume-title: Nonlinear Hyperbolic Equations— Theory, Computation Methods, and Applications year: 1989 ident: CIT0016 doi: 10.1007/978-3-322-87869-4_14 |
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| Snippet | The numerical simulation of groundwater flow through heterogeneous porous media is discussed. The focus is on the performance of a parallel multigrid... |
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| SubjectTerms | Boundary conditions Computer simulation Computer simulation languages Convergence of numerical methods Earth sciences Earth, ocean, space Exact sciences and technology Groundwater flow Hydrogeology Hydrology. Hydrogeology Parallel processing systems Porous materials Pressure |
| Title | A Parallel Multigrid Preconditioned Conjugate Gradient Algorithm for Groundwater Flow Simulations |
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