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.
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页码：685 / 696
页数：12
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