Une technique nouvelle d'antidiffusion dynamique

Ghislaine Godinaud , Alain Yves Leroux , Raphaël Loubère , Jean Ovadia
{"title":"Une technique nouvelle d'antidiffusion dynamique","authors":"Ghislaine Godinaud ,&nbsp;Alain Yves Leroux ,&nbsp;Raphaël Loubère ,&nbsp;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}
引用次数: 0

Abstract

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.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
动态防扩散新技术
我们提出了一种新的技术来增强双曲系统计算模拟的结果。该过程仅对程序中断后获得的提取数据起作用,并且不依赖于数学模型和数值格式,只要模型是双曲模型且格式足够扩散。数值试验表明,在小于两个单元的情况下,该方法对不连续面有很好的锐化,对稀疏波也有很好的精度,对质量等一些量也有很好的守恒性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Musique et nation dans l’entre-deux-guerres (Europe-Amériques). Compte rendu de la journée d’étude inaugurale du projet de recherche, 10 décembre 2015, Maison de la Recherche, Paris Le comportement des oscillations du processus empirique composé Stabilisation frontière du système de l'élasticité linéaire anisotrope Mesure d'indépendance linéaire de logarithmes dans un groupe algébrique commutatif Quelques résultats nouveaux sur les méthodes de projection
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1