Review of the algebraic linear methods and parallel implementation in numerical simulation of groundwater flow

CHENG Tang-pei; LIU Xing-wei; SHAO Jing-Li; CUI Ya-li

Volume 4 Issue 1

Mar. 2016

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CHENG Tang-pei, LIU Xing-wei, SHAO Jing-Li, et al. 2016: Review of the algebraic linear methods and parallel implementation in numerical simulation of groundwater flow. Journal of Groundwater Science and Engineering, 4(1): 12-17.

Citation:

CHENG Tang-pei, LIU Xing-wei, SHAO Jing-Li, et al. 2016: Review of the algebraic linear methods and parallel implementation in numerical simulation of groundwater flow. Journal of Groundwater Science and Engineering, 4(1): 12-17.

Citation:

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Review of the algebraic linear methods and parallel implementation in numerical simulation of groundwater flow

1Institute of Applied Physics and Computational Mathematics, Beijing 100088, China.2CAEP Software Center for High Performance Numerical Simulation, Beijing 100088, China.3School of Water Resources and Environmental Science, China University of Geosciences (Beijing), Beijing 100083, China.

Publish Date: 2016-03-28

Abstract

Abstract

The desire to increase spatial and temporal resolution in modeling groundwater system has led to the requirement for intensive computational ability and large memory space. In the course of satisfying such requirement, parallel computing has played a core role over the past several decades. This paper reviews the parallel algebraic linear solution methods and the parallel implementation technologies for groundwater simulation. This work is carried out to provide guidance to enable modelers of groundwater systems to make sensible choices when developing solution methods based upon the current state of knowledge in parallel computing.
- Groundwater flow simulation,
- Parallel algebraic algorithms,
- Krylov subspace methods,
- Preconditioning,
- GPU computing,
- Parallel computing framework

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References(16)

References

DONG Yan-hui, LI Guo-ming. 2009. A parallel PCG solver for MODFLOW. Groundwater. 47(6): 845-850.

Miller C T, Dawson C N, et al. 2013. Numerical simulation of water resources problems: Models, methods, and trends. Advances in Water Resources, (51): 405-437.

JI X H, CHENG T P, et al. 2012. CUDA-based solver for large-scale groundwater flow simulation. Engineering with Computers, 28(1): 13-19.

ZHANG K N, WU Y S, Bodvarsson G S. 2003. Parallel computing simulation of fluid flow in the unsaturated zone of Yucca Mountain, Nevada. Journal of Contaminant Hydrology, 62-63(2): 381-399.

TANG G P, D'Azevedo E F, et al. 2010. Application of a hybrid MPI/OpenMP approach for parallel groundwater model calibration using multi-core computers. Com?puters & Geosciences, 36(11): 1451- 1460.

Harbaugh A W. 2005. MODFLOW-2005, the US geological survey modular groundwater model: The groundwater flow process. Reston, VA, USA: US Department of the Interior, US Geological Survey.

Knoll D A, Keyes D E. 2004. Jacobian-free Newton-Krylov methods: A survey of approaches and applications. Journal of Computational Physics. 193(2): 357-397.

Saad Y. 2003. Iterative methods for sparse linear systems. Philadelphia: Society for Industrial and Applied Mathematics.

Hwang H T, Park Y J, et al. 2014. A parallel computational framework to solve flow and transport in integrated surface-subsurface hydrologic systems. Environmental Model?ling & Software, 61: 39-58.

Hughes J D, White J T. 2013. Use of general purpose graphics processing units with MODFLOW. Groundwater, 51(6): 833-846.

Nakajima K. 2011. Parallel multigrid solvers using openmp/mpi hybrid programming models on multi-core/multi-socket clusters. In: High Performance Computing for Computational Science-Vecpar 2010. Berlin: Springer.

Le P V V, Kumar P, et al. 2015. GPU-based high-performance computing for integrated surface-sub-surface flow modeling. Environ?mental Modelling & Software, 73: 1-13.

Hammond G E, Lichtner P C, Mills R T. 2014. Evaluating the performance of parallel subsurface simulators: An illustrative example with PFLOTRAN. Water Resources Research, 50(1): 208-228.

CHENG Tang-pei, SHAO Jing-li, et al. 2014b. Parallel simulation of groundwater flow in the North China Plain. Journal of Earth Science, 25(6): 1059-1066.

Dongarra J J, Foster I, et al. 2003. Sourcebook of parallel computing. San Francisco: Morgan Kaufmann Publishers.

CHENG Tang-pei, MO Ze-yao, SHAO Jing-li. 2014a. Accelerating groundwater flow simulation in MODFLOW using JASMIN- Based parallel computing. Groundwater, 52(2): 194-205.

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