A second-order time discretizing block-centered finite difference method for compressible wormhole propagation

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Numerical Methods for Partial Differential Equations Pub Date : 2024-02-07 DOI:10.1002/num.23091

Fei Sun, Xiaoli Li, Hongxing Rui

引用次数: 0

Abstract

In this paper, a second-order time discretizing block-centered finite difference method is introduced to solve the compressible wormhole propagation. The optimal second-order error estimates for the porosity, pressure, velocity, concentration and its flux are established carefully in different discrete norms on non-uniform grids. Then by introducing Lagrange multiplier, a novel bound-preserving scheme for concentration is constructed. Finally, numerical experiments are carried out to demonstrate the correctness of theoretical analysis and capability for simulations of compressible wormhole propagation.

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可压缩虫洞传播的二阶时间离散块中心有限差分法

本文引入了一种二阶时间离散块中心有限差分法来求解可压缩虫洞传播。在非均匀网格的不同离散规范下，仔细建立了孔隙度、压力、速度、浓度及其通量的最优二阶误差估计。然后，通过引入拉格朗日乘法器，构建了一种新颖的浓度保界方案。最后，通过数值实验证明了理论分析的正确性以及模拟可压缩虫洞传播的能力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Methods for Partial Differential Equations 数学-应用数学

CiteScore

7.20

自引率

2.60%

发文量

审稿时长

9 months

期刊介绍： An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spectrum of researchers into numerical methods for partial differential equations throughout science and engineering. The numerical methods and techniques themselves are emphasized rather than the specific applications. The Journal seeks to be interdisciplinary, while retaining the common thread of applied numerical analysis.