{"title":"动态防扩散新技术","authors":"Ghislaine Godinaud , Alain Yves Leroux , Raphaël Loubère , Jean Ovadia","doi":"10.1016/S0764-4442(01)02138-3","DOIUrl":null,"url":null,"abstract":"<div><p>We propose a new technique for enhancing the results coming from computational simulations with a hyperbolic system. The process works only on the extracted data obtained after an interruption of the program, and is not depending neither on the mathematical model nor on the numerical scheme, as long as the model is a hyperbolic one and the scheme is diffusive enough. The numerical tests show a good sharpening of the discontinuities, on less than two cells, and also a good precision on the rarefaction waves and the conservation of some quantities, such as the mass.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 10","pages":"Pages 957-960"},"PeriodicalIF":0.0000,"publicationDate":"2001-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02138-3","citationCount":"0","resultStr":"{\"title\":\"Une technique nouvelle d'antidiffusion dynamique\",\"authors\":\"Ghislaine Godinaud , Alain Yves Leroux , Raphaël Loubère , Jean Ovadia\",\"doi\":\"10.1016/S0764-4442(01)02138-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We propose a new technique for enhancing the results coming from computational simulations with a hyperbolic system. The process works only on the extracted data obtained after an interruption of the program, and is not depending neither on the mathematical model nor on the numerical scheme, as long as the model is a hyperbolic one and the scheme is diffusive enough. The numerical tests show a good sharpening of the discontinuities, on less than two cells, and also a good precision on the rarefaction waves and the conservation of some quantities, such as the mass.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 10\",\"pages\":\"Pages 957-960\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02138-3\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021383\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021383","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We propose a new technique for enhancing the results coming from computational simulations with a hyperbolic system. The process works only on the extracted data obtained after an interruption of the program, and is not depending neither on the mathematical model nor on the numerical scheme, as long as the model is a hyperbolic one and the scheme is diffusive enough. The numerical tests show a good sharpening of the discontinuities, on less than two cells, and also a good precision on the rarefaction waves and the conservation of some quantities, such as the mass.