Multi-Point Flux MFE Decoupled Method for Compressible Miscible Displacement Problem

被引：0

作者：

Xu, Wenwen ^{[1
]}

Guo, Hong ^{[1
]}

Li, Xindong ^{[1
]}

Ren, Yongqiang ^{[1
]}

机构：

[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Peoples R China

来源：

PROCESSES | 2023年 / 11卷 / 04期

关键词：

decoupled method; compressible miscible displacement; multi-point flux MFE; error analysis; numerical experiments; MIXED FINITE-ELEMENTS; GALERKIN METHODS; POROUS-MEDIA;

D O I：

10.3390/pr11041244

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

In this paper, a multi-point flux mixed-finite-element decoupled method was considered for the compressible miscible displacement problem. For this compressible problem, a fully discrete backward Euler scheme was proposed, in which the velocity and pressure equations were decoupled by a multi-point flux MFE method using BDM1 elements combined with a trapezoidal quadrature rule. The concentration equation was handled by a standard FE method. The error analysis for velocity, pressure, and concentration were rigorously derived. Numerical experiments to verify the convergence rates and simulate the miscible displacement problem of a water-oil system were presented.

引用

页数：14

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