{"title":"气体动力学方程隐式差分格式的近似性质","authors":"I.I. Vorozhtsov, V.L. Yumashev","doi":"10.1016/0041-5553(90)90048-W","DOIUrl":null,"url":null,"abstract":"<div><p>The two- and three-layer versions of a symmetric implicit difference scheme on distributed nets in the case of the one-dimensional equation of gas dynamics in the Euler form are considered. The approximate viscosity of the scheme is investigated by the method of differential approximation. The change in the approximation properties of the scheme when a mobile net is employed is analyzed. The results of a numerical experiment are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 92-98"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90048-W","citationCount":"0","resultStr":"{\"title\":\"On the appproximation properties of an implicit difference scheme for the equations of gas dynamics\",\"authors\":\"I.I. Vorozhtsov, V.L. Yumashev\",\"doi\":\"10.1016/0041-5553(90)90048-W\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The two- and three-layer versions of a symmetric implicit difference scheme on distributed nets in the case of the one-dimensional equation of gas dynamics in the Euler form are considered. The approximate viscosity of the scheme is investigated by the method of differential approximation. The change in the approximation properties of the scheme when a mobile net is employed is analyzed. The results of a numerical experiment are presented.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 4\",\"pages\":\"Pages 92-98\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90048-W\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090048W\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090048W","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the appproximation properties of an implicit difference scheme for the equations of gas dynamics
The two- and three-layer versions of a symmetric implicit difference scheme on distributed nets in the case of the one-dimensional equation of gas dynamics in the Euler form are considered. The approximate viscosity of the scheme is investigated by the method of differential approximation. The change in the approximation properties of the scheme when a mobile net is employed is analyzed. The results of a numerical experiment are presented.
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