Work

Discrete-Maximum-Principle-Preserving Scheme of Two-Phase Flow Model in Porous Medium on Quadrilateral Grid

Year: 2025

Type: conference-paper

Abstract: We construct a maximum-principle-preserving nonlinear scheme to solve the the pressure equation of two phase flow model in porous media on general quadrilateral grid, and a traditional upwind finite volume method to solve the saturation equation. We prove the numerical solution of pressure satisfy the discrete maximum principle. Numerical experiments show that the the numerical pressure and the saturation are without nonphysical oscillation on general quadrilateral grid.

Source: International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC)

DOI: 10.1145/3745533.3745630

Authors: Jianan Zang, Weijia Cao, Yongqiang Ren

Institutions: Qilu University of Technology, Shandong Academy of Sciences

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4413520993

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Cites: 10

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Related to: 10