Splitting in systems of PDEs for two-phase multicomponent flow in porous media

被引：34

作者：

Borazjani, S. ^{[1
]}

Roberts, A. J. ^{[1
]}

Bedrikovetsky, P. ^{[1
]}

机构：

[1] Univ Adelaide, Adelaide, SA 5005, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 53卷

关键词：

Non-linear PDEs; Exact solutions; Conservation laws; Splitting; Dissipative systems; Advective reaction-diffusion equations;

D O I：

10.1016/j.aml.2015.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper investigates the system of PDEs for two-phase n-component flow in porous media consisting of hyperbolic terms for advective transport, parabolic terms of dissipative effects and relaxation non-equilibrium equations. We found that for several dissipative and non-equilibrium systems, using the stream-function as a free variable instead of time separates the general (n + 1) x (n + 1) system into an n x n auxiliary system and one scalar lifting equation. In numerous cases, where the auxiliary system allows for exact solution, the general flow problem is reduced to numerical or semi-analytical solution of one lifting equation. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：25 / 32

页数：8

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