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.
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页码：25 / 32
页数：8
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