A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure
A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure
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DOI：
10.1007/s10596-013-9374-y
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发表时间：
2013-09
影响因子：
2.5
通讯作者：
T. Arbogast;M. Juntunen;J. Pool;M. Wheeler
中科院分区：
文献类型：
--
作者：
T. Arbogast;M. Juntunen;J. Pool;M. Wheeler
我们考虑具有毛细管压力的多孔介质中的轻微可压缩两相流问题。使用隐式压力、显式饱和 (IMPES) 方法求解该问题，并通过方程的迭代耦合加速收敛。我们使用不连续伽辽金来离散压力和饱和度方程。我们应用了两项改进，即将通量投影到质量保守 H(div) 空间并惩罚饱和方程中毛细管压力的跳跃。我们还讨论了斜率限制器的需求和使用以及离散化中主要变量的选择。该方法通过二维和三维数值算例进行了验证。结果表明，修改使方法稳定并改进了解决方案。
We consider the slightly compressible two-phase flow problem in a porous medium with capillary pressure. The problem is solved using the implicit pressure, explicit saturation (IMPES) method, and the convergence is accelerated with iterative coupling of the equations. We use discontinuous Galerkin to discretize both the pressure and saturation equations. We apply two improvements, which are projecting the flux to the mass conservativeH(div)-space and penalizing the jump in capillary pressure in the saturation equation. We also discuss the need and use of slope limiters and the choice of primary variables in discretization. The methods are verified with two- and three-dimensional numerical examples. The results show that the modifications stabilize the method and improve the solution.