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

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CPUi7–3770上可提高至4.0倍,在CPUi7–4770上可提高至4.2倍;两台机器上的并行效率均高达50%以上。

A CELL-CENTERED FINITE VOLUME METHOD FOR FLUID FLOW IN FRACTURED POROUS MEDIA AND ITS PARALLELIZATION THROUGH OPENMP

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.