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Volume 11
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10.3390/pr11041244
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Communication

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

by
Wenwen Xu
,
Hong Guo
,
Xindong Li
* and
Yongqiang Ren
School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
*
Author to whom correspondence should be addressed.
Processes 2023, 11(4), 1244; https://doi.org/10.3390/pr11041244
Submission received: 15 February 2023 / Revised: 30 March 2023 / Accepted: 13 April 2023 / Published: 18 April 2023
(This article belongs to the Special Issue Recent Computational Aspect of Nanofluids and Heat Transfer)
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Abstract

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.
Keywords: decoupled method; compressible miscible displacement; multi-point flux MFE; error analysis; numerical experiments decoupled method; compressible miscible displacement; multi-point flux MFE; error analysis; numerical experiments

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MDPI and ACS Style

Xu, W.; Guo, H.; Li, X.; Ren, Y. Multi-Point Flux MFE Decoupled Method for Compressible Miscible Displacement Problem. Processes 2023, 11, 1244. https://doi.org/10.3390/pr11041244

AMA Style

Xu W, Guo H, Li X, Ren Y. Multi-Point Flux MFE Decoupled Method for Compressible Miscible Displacement Problem. Processes. 2023; 11(4):1244. https://doi.org/10.3390/pr11041244

Chicago/Turabian Style

Xu, Wenwen, Hong Guo, Xindong Li, and Yongqiang Ren. 2023. "Multi-Point Flux MFE Decoupled Method for Compressible Miscible Displacement Problem" Processes 11, no. 4: 1244. https://doi.org/10.3390/pr11041244

APA Style

Xu, W., Guo, H., Li, X., & Ren, Y. (2023). Multi-Point Flux MFE Decoupled Method for Compressible Miscible Displacement Problem. Processes, 11(4), 1244. https://doi.org/10.3390/pr11041244

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