论文标题

可变形多孔培养基中两相流的顺序不连续的盖尔金方法

A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media

论文作者

Shen, Boqian, Riviere, Beatrice

论文摘要

我们制定了一种用于求解两相流量弹性方程的数值方法。该方案采用内部惩罚不连续的盖尔金方法和顺序时间稳定方法。未知数是相压和位移。证明了解决方案的存在。三维数值结果显示了所提出方法的准确性和鲁棒性。

We formulate a numerical method for solving the two-phase flow poroelasticity equations. The scheme employs the interior penalty discontinuous Galerkin method and a sequential time-stepping method. The unknowns are the phase pressures and the displacement. Existence of the solution is proved. Three-dimensional numerical results show the accuracy and robustness of the proposed method.

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