修改交叉类型方案以消除 "棋盘 "错误

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

{"title":"修改交叉类型方案以消除 \"棋盘 \"错误","authors":"Yu. V. Yanilkin, O. O. Toporova, A. M. Erofeev","doi":"10.1134/s2070048224700042","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>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.</p>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"63 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modification of a Cross Type Scheme to Eliminate a “Chessboard” Error\",\"authors\":\"Yu. V. Yanilkin, O. O. Toporova, A. M. Erofeev\",\"doi\":\"10.1134/s2070048224700042\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>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.</p>\",\"PeriodicalId\":38050,\"journal\":{\"name\":\"Mathematical Models and Computer Simulations\",\"volume\":\"63 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Models and Computer Simulations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s2070048224700042\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Models and Computer Simulations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s2070048224700042","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

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。

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

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.