Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow
Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow
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DOI：
10.1016/j.cma.2021.114550
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发表时间：
2021-06
期刊：
影响因子：
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通讯作者：
M. Joshaghani;B. Rivière;M. Sekachev
中科院分区：
文献类型：
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作者：
M. Joshaghani;B. Rivière;M. Sekachev
本文提出了一种考虑重力、毛细效应和非均质的多孔介质中不可压两相流的全隐式数值计算方法。我们的目标是开发一个全隐式稳定的间断Galerkin（DG）求解器，这个系统是准确的，边界保持，局部质量保守。为了实现这一点，我们增加了我们的DG配方与后处理通量和斜率限制器。建议的框架被应用到几个基准问题和离散的解决方案被证明是准确的，以满足最大值原理和局部质量守恒。
This paper proposes a fully implicit numerical scheme for immiscible incompressible two-phase flow in porous media taking into account gravity, capillary effects, and heterogeneity. The objective is to develop a fully implicit stable discontinuous Galerkin (DG) solver for this system that is accurate, bound-preserving, and locally mass conservative. To achieve this, we augment our DG formulation with post-processing flux and slope limiters. The proposed framework is applied to several benchmark problems and the discrete solutions are shown to be accurate, to satisfy the maximum principle and local mass conservation.