Fully implicit discontinuous finite element methods for two-phase flow

被引：63

作者：

Epshteyn, Y. ^{[1
]}

Riviere, B. ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2007年 / 57卷 / 04期

关键词：

nonsymmetric interior penalty Galerkin; h- and p-version; Newton-Raphson; heterogeneous media; quarter-five spot;

D O I：

10.1016/j.apnum.2006.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present two schemes based on discontinuous Galerkin methods for modeling fully implicit formulations of two-phase flow problems arising in porous media. Convergence with respect to uniform mesh refinement or increase in the polynomial degree are considered. Compared to sequential discontinuous schemes, our proposed schemes do not require slope limiting or upwind stabilization techniques. Numerical examples of homogeneous and heterogeneous media on structured and unstructured meshes show the robustness of the method. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：383 / 401

页数：19

共 29 条

[1] Unified analysis of discontinuous Galerkin methods for elliptic problems [J].