Modification of a Cross Type Scheme to Eliminate a “Chessboard” Error

Q3 Mathematics

Mathematical Models and Computer Simulations Pub Date : 2024-06-25 DOI:10.1134/s2070048224700042

Yu. V. Yanilkin, O. O. Toporova, A. M. Erofeev

引用次数: 0

Abstract

This paper shows that the cross-type difference schemes used to approximate gas dynamic equations have an error caused by the “chessboard” distribution of thermodynamic quantities. A modification of the two-dimensional (2D) scheme is proposed to eliminate this error. The results of test computations demonstrating the advantages of the new scheme are presented.

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修改交叉类型方案以消除 "棋盘 "错误

摘要本文指出，用于近似气体动力学方程的交叉型差分方案会因热力学量的 "棋盘式 "分布而产生误差。为消除这一误差，提出了一种二维（2D）方案的改进方法。试验计算结果证明了新方案的优势。

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

Mathematical Models and Computer Simulations Mathematics-Computational Mathematics

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Mathematical Models and Computer Simulations is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.