一种中心型有限体积孔隙–裂隙渗流求解方法及其OpenMP并行化

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摘要为高效求解单相孔隙–裂隙渗流问题，发展一种基于任意网格的三维中心型有限体积渗流求解算法，并对其进行OpenMP并行化。该算法将压力置于单元中心处；使用串联弹簧模型在空间域离散；使用显式差分格式在时间域离散；使用动态松弛求解技术，逐个单元求解。算例研究表明：该算法与有限元相比具有类似的精度，但求解效率更高。OpenMP并行化使得该算法运算速度在CPU i7–3770上可提高至4.0倍，在CPU i7–4770上可提高至4.2倍；两台机器上的并行效率均高达50%以上。

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关键词 ：三维中心型有限体积法；单相孔隙&ndash, 裂隙耦合渗流；动态松弛技术；OpenMP并行；离散裂隙网络

Abstract：An efficient three-dimensional cell-centered Finite Volume Method(ccFVM) is developed for single- phase fluid flow in fractured porous media. It works on arbitrary grids and is parallelized through OpenMP. With pressure centered in the cell，the ccFVM employs spring-in-series model for space discretization and explicit difference scheme for time discretization. It uses dynamic relaxation technique for element-by-element iteration. Numerical tests indicate that the ccFVM is as accurate as FEM，but more efficient. The parallel procedure obtains a speedup of 4.0 on CPU i7-3770 and a speedup of 4.2 on CPU i7-4770. High parallel efficiency of over 50% is achieved on both machines.

Key words： three-dimensional cell-centered finite volume method single-phase fluid flow in fractured porous media dynamic relaxation technique OpenMP-based parallelization discrete fracture network

引用本文:

王理想，李世海，马照松，冯春. 一种中心型有限体积孔隙–裂隙渗流求解方法及其OpenMP并行化[J]. 岩石力学与工程学报, 2015, 34(5): 865-875.
WANG Lixiang，LI Shihai，MA Zhaosong，FENG Chun. A CELL-CENTERED FINITE VOLUME METHOD FOR FLUID FLOW IN FRACTURED POROUS MEDIA AND ITS PARALLELIZATION THROUGH OPENMP. , 2015, 34(5): 865-875.

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https://rockmech.whrsm.ac.cn/CN/Y2015/V34/I5/865

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