A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness

IF 3.8 2区数学 Q1 MATHEMATICS

Journal of Numerical Mathematics Pub Date : 2021-01-16 DOI:10.1515/JNMA-2020-0004

V. Girault, B. Rivière, L. Cappanera

引用次数: 6

Abstract

Abstract A finite element method with mass-lumping and flux upwinding is formulated for solving the immiscible two-phase flow problem in porous media. The method approximates directly thewetting phase pressure and saturation, which are the primary unknowns. The discrete saturation satisfies a maximum principle. Stability of the scheme and existence of a solution are established.

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多孔介质中退化两相流的有限元方法。第一部分:举止得体

摘要建立了求解多孔介质中非混相两相流问题的质量集总和通量上绕的有限元方法。该方法直接逼近润湿相压力和饱和度，这是主要的未知数。离散饱和满足最大值原则。证明了方案的稳定性和解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Numerical Mathematics 数学-数学

CiteScore

5.90

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Numerical Mathematics (formerly East-West Journal of Numerical Mathematics) contains high-quality papers featuring contemporary research in all areas of Numerical Mathematics. This includes the development, analysis, and implementation of new and innovative methods in Numerical Linear Algebra, Numerical Analysis, Optimal Control/Optimization, and Scientific Computing. The journal will also publish applications-oriented papers with significant mathematical content in computational fluid dynamics and other areas of computational engineering, finance, and life sciences.