CUDA-based solver for large-scale groundwater flow simulation
This article presents a parallel simulation solver for groundwater flow on CUDA. Preconditioned conjugate gradient (PCG) algorithm is used to solve the large linear systems arising from the finite-difference discretization of three-dimensional groundwater flow problems. CUDA implementing methods for...
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| Veröffentlicht in: | Engineering with computers Jg. 28; H. 1; S. 13 - 19 |
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Springer-Verlag
01.01.2012
Springer Nature B.V |
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| ISSN: | 0177-0667, 1435-5663 |
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| Abstract | This article presents a parallel simulation solver for groundwater flow on CUDA. Preconditioned conjugate gradient (PCG) algorithm is used to solve the large linear systems arising from the finite-difference discretization of three-dimensional groundwater flow problems. CUDA implementing methods for the two most time-consuming operations in PCG, sparse matrix–vector multiplication and vector inner-product, are given. The experimental results show that CUDA can speed up the solving process of the groundwater simulation significantly. 1.8–3.7 speedup can be achieved with different GPUs for a transient groundwater flow problem. |
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| AbstractList | This article presents a parallel simulation solver for groundwater flow on CUDA. Preconditioned conjugate gradient (PCG) algorithm is used to solve the large linear systems arising from the finite-difference discretization of three-dimensional groundwater flow problems. CUDA implementing methods for the two most time-consuming operations in PCG, sparse matrix-vector multiplication and vector inner-product, are given. The experimental results show that CUDA can speed up the solving process of the groundwater simulation significantly. 1.8-3.7 speedup can be achieved with different GPUs for a transient groundwater flow problem. This article presents a parallel simulation solver for groundwater flow on CUDA. Preconditioned conjugate gradient (PCG) algorithm is used to solve the large linear systems arising from the finite-difference discretization of three-dimensional groundwater flow problems. CUDA implementing methods for the two most time-consuming operations in PCG, sparse matrix-vector multiplication and vector inner-product, are given. The experimental results show that CUDA can speed up the solving process of the groundwater simulation significantly. 1.8-3.7 speedup can be achieved with different GPUs for a transient groundwater flow problem.[PUBLICATION ABSTRACT] |
| Author | Ji, Xiaohui Wang, Qun Cheng, Tangpei |
| Author_xml | – sequence: 1 givenname: Xiaohui surname: Ji fullname: Ji, Xiaohui organization: School of Information Engineering, China University of Geosciences – sequence: 2 givenname: Tangpei surname: Cheng fullname: Cheng, Tangpei organization: School of Information Engineering, China University of Geosciences – sequence: 3 givenname: Qun surname: Wang fullname: Wang, Qun email: qunw@cugb.edu.cn organization: School of Information Engineering, China University of Geosciences |
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| CitedBy_id | crossref_primary_10_1016_j_envsoft_2019_02_001 crossref_primary_10_1016_j_jcp_2013_05_040 crossref_primary_10_1007_s12583_014_0485_8 crossref_primary_10_3390_w16131864 crossref_primary_10_1111_gwat_12104 crossref_primary_10_1111_gwat_12004 crossref_primary_10_1111_gwat_13016 crossref_primary_10_26599_JGSE_2016_9280002 crossref_primary_10_1016_j_envsoft_2017_12_004 |
| Cites_doi | 10.1016/S0898-1221(98)00031-5 10.1007/s11227-008-0251-8 10.1111/j.1745-6584.2009.00598.x 10.1137/1.9781611971538 10.1016/S0309-1708(02)00006-4 10.1145/882262.882364 10.1088/1742-6596/78/1/012051 10.1109/JPROC.2008.917757 |
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| DOI | 10.1007/s00366-011-0213-2 |
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| Keywords | CUDA Groundwater simulation Preconditioned conjugate gradient algorithm GPU |
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| References_xml | – volume: 35 start-page: 45 issue: 7 year: 1998 end-page: 54 ident: CR3 article-title: Efficient parallel multigrid based solvers for large scale groundwater flow simulations publication-title: Comput Math Appl doi: 10.1016/S0898-1221(98)00031-5 – volume: 50 start-page: 36 issue: 1 year: 2009 end-page: 77 ident: CR16 article-title: Performance evaluation of the sparse matrix-vector multiplication on modern architectures publication-title: J Supercomput doi: 10.1007/s11227-008-0251-8 – volume: 47 start-page: 845 issue: 6 year: 2009 end-page: 850 ident: CR5 article-title: A parallel pcg solver for modflow publication-title: Ground Water doi: 10.1111/j.1745-6584.2009.00598.x – ident: CR4 – ident: CR15 – ident: CR17 – ident: CR13 – year: 1994 ident: CR10 publication-title: Templates for the solution of linear systems: Building blocks for iterative methods doi: 10.1137/1.9781611971538 – volume: 25 start-page: 243 issue: 3 year: 2002 end-page: 261 ident: CR2 article-title: An efficient parallel-computing method for modeling nonisothermal multiphase flow and multicomponent transport in porous and fractured media publication-title: Adv Water Resour doi: 10.1016/S0309-1708(02)00006-4 – year: 2010 ident: CR8 publication-title: Programming massively parallel processors: a hands-on approach – volume: 22 start-page: 917 year: 2003 end-page: 924 ident: CR12 article-title: Sparse matrix solvers on the gpu: conjugate gradients and multigrid publication-title: ACM Trans Graph doi: 10.1145/882262.882364 – year: 2007 ident: CR9 publication-title: Numerical simulation for groundwater – year: 1994 ident: CR11 publication-title: An introduction to the conjugate gradient method without the agonizing pain. Technical report CS-94–125 – ident: CR7 – volume: 78 start-page: 012051 issue: 1 year: 2007 ident: CR1 article-title: Simulating subsurface flow and transport on ultrascale computers using pflotran publication-title: J Phys Conf Series doi: 10.1088/1742-6596/78/1/012051 – year: 2003 ident: CR14 publication-title: Automatic performance tuning of sparse matrix kernels – volume: 96 start-page: 879 issue: 5 year: 2008 end-page: 899 ident: CR6 article-title: Gpu computing publication-title: Proc IEEE doi: 10.1109/JPROC.2008.917757 – volume: 78 start-page: 012051 issue: 1 year: 2007 ident: 213_CR1 publication-title: J Phys Conf Series doi: 10.1088/1742-6596/78/1/012051 – volume-title: Templates for the solution of linear systems: Building blocks for iterative methods year: 1994 ident: 213_CR10 doi: 10.1137/1.9781611971538 – ident: 213_CR15 – volume-title: Automatic performance tuning of sparse matrix kernels year: 2003 ident: 213_CR14 – volume: 25 start-page: 243 issue: 3 year: 2002 ident: 213_CR2 publication-title: Adv Water Resour doi: 10.1016/S0309-1708(02)00006-4 – ident: 213_CR4 – volume: 96 start-page: 879 issue: 5 year: 2008 ident: 213_CR6 publication-title: Proc IEEE doi: 10.1109/JPROC.2008.917757 – ident: 213_CR7 – volume-title: An introduction to the conjugate gradient method without the agonizing pain. Technical report CS-94–125 year: 1994 ident: 213_CR11 – volume: 22 start-page: 917 year: 2003 ident: 213_CR12 publication-title: ACM Trans Graph doi: 10.1145/882262.882364 – volume-title: Programming massively parallel processors: a hands-on approach year: 2010 ident: 213_CR8 – volume: 47 start-page: 845 issue: 6 year: 2009 ident: 213_CR5 publication-title: Ground Water doi: 10.1111/j.1745-6584.2009.00598.x – volume-title: Numerical simulation for groundwater year: 2007 ident: 213_CR9 – volume: 35 start-page: 45 issue: 7 year: 1998 ident: 213_CR3 publication-title: Comput Math Appl doi: 10.1016/S0898-1221(98)00031-5 – volume: 50 start-page: 36 issue: 1 year: 2009 ident: 213_CR16 publication-title: J Supercomput doi: 10.1007/s11227-008-0251-8 – ident: 213_CR17 – ident: 213_CR13 |
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