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A Parallel Multigrid Preconditioned Conjugate Gradient Algorithm for Groundwater Flow Simulations

Ashby, Steven F., Falgout, Robert D.·1996·Nuclear Science and Engineering

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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Research works printed but not linked: 17

  1. ABABOU R., 1989, Transport in Porous Media, 4, 549, 10.1007/BF00223627 · doi:10.1007/bf00223627
  2. TOMPSON A. F. B., 1989, Water Resour. Res., 25, 2227, 10.1029/WR025i010p02227 · DOI · Paper page
  3. HESTENES M. R., 1952, J. Res. Natl. Bur. Standards, 49, 409, 10.6028/jres.049.044 · DOI · Paper page
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  6. GOLUB G. H., 1993, Scientific Computing: An Introduction with Parallel Computing, 10.1016/B978-0-12-289253-0.50005-1 · doi:10.1016/b978-0-12-289253-0.50005-1
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  8. HACKBUSCH W., 1989, Numer. Math., 56, 229, 10.1007/BF01409786 · doi:10.1007/bf01409786
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  13. FOGWELL T. W., 1989, Nonlinear Hyperbolic Equations— Theory, Computation Methods, and Applications, 24, 139, 10.1007/978-3-322-87869-4_14 · doi:10.1007/978-3-322-87869-4_14
  14. ASHBY S. F., 1990, SIAMJ. Numer. Anal., 27, 1542, 10.1137/0727091 · doi:10.1137/0727091
  15. DENDY J. E., 1983, Appl. Math. Comput., 13, 261
  16. MAVRIPLIS D. J., 1988, Multigrid Methods: Theory, Applications, and Supercomputing, 110, 413
  17. BRIGGS W. L., 1988, Multigrid Methods: Theory, Applications, and Supercomputing, 110, 63

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Metadata

Authors
Ashby, S. F., & Falgout, R. D.
Venue
Nuclear Science and Engineering
Published
1996-09
Volume
124
Issue
1
Pages
145-159
ISSN
  • 0029-5639 (ISSN-L)
  • 1943-748X
OpenAlex
W1542622005
Cited by
462
References
0
FWCI
7.27
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A Parallel Multigrid Preconditioned Conjugate Gradient Algorithm for Groundwater Flow Simulations. https://app.cochat.ai/papers/10.13182/nse96-a24230
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Ashby, S. F., & Falgout, R. D. (1996). A Parallel Multigrid Preconditioned Conjugate Gradient Algorithm for Groundwater Flow Simulations. Nuclear Science and Engineering. https://doi.org/10.13182/nse96-a24230

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