{"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":null,"pages":null},"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}
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.
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.
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