Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

Applied Numerical Mathematics Pub Date : 2024-10-01 DOI:10.1016/j.apnum.2024.09.027

Xiaojuan Shen, Yongyong Cai

引用次数: 0

Abstract

In this paper, we present a rigorous error analysis for two weakly decoupled, unconditionally energy stable schemes in the semi-discrete-in-time form. The methods consist of a stabilized/convex-splitting method for the phase field equations and a projection correction method for the MHD model. Several numerical simulations demonstrate the validity of theoretical results.

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两相磁流体流的卡恩-希利亚德相场模型时间离散化的误差估计

在本文中，我们以半离散实时形式对两种弱解耦无条件能量稳定方案进行了严格的误差分析。这两种方法包括相场方程的稳定/凸分法和 MHD 模型的投影校正法。一些数值模拟证明了理论结果的正确性。

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

Applied Numerical Mathematics 数学-应用数学

CiteScore

5.60

自引率

7.10%

发文量

225

审稿时长

7.2 months

期刊介绍： The purpose of the journal is to provide a forum for the publication of high quality research and tutorial papers in computational mathematics. In addition to the traditional issues and problems in numerical analysis, the journal also publishes papers describing relevant applications in such fields as physics, fluid dynamics, engineering and other branches of applied science with a computational mathematics component. The journal strives to be flexible in the type of papers it publishes and their format. Equally desirable are: (i) Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational mathematics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research, in which other than strictly mathematical arguments may be important in establishing a basis for further developments. (ii) Tutorial review papers, covering some of the important issues in Numerical Mathematics, Scientific Computing and their Applications. The journal will occasionally publish contributions which are larger than the usual format for regular papers. (iii) Short notes, which present specific new results and techniques in a brief communication.