UPSTREAM DIFFERENCING FOR MULTIPHASE FLOW IN RESERVOIR SIMULATION

被引：72

作者：

BRENIER, Y

JAFFRE, J

机构：

[1] Inst Natl de Recherche en, Informatique et en Automatique, Chesnay

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 03期

关键词：

CONSERVATION LAWS; MULTIPHASE FLOW; RESERVOIR SIMULATION; RIEMANN SOLVER; UPSTREAM WEIGHTING;

D O I：

10.1137/0728036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Upstream differencing for multiphase flow in reservoir simulation is analyzed. The associated numerical flux is shown to be well defined, monotone, Lipschitz-continuous, and consistent. In the case of a two-phase flow the corresponding numerical scheme is convergent and the numerical flux is compared to that of Godunov and Engquist-Osher. Finally, a simple way to obtain a higher-order scheme is outlined.

引用

页码：685 / 696

页数：12

共 13 条

[1]

Chavent G., 1986, MATH MODELS FINITE E

[2] MONOTONE-DIFFERENCE APPROXIMATIONS FOR SCALAR CONSERVATION-LAWS [J].