{"title":"Shock capturing using interpolatory wavelets","authors":"C. Cunha, S. Gomes","doi":"10.1109/MWSCAS.1995.510292","DOIUrl":null,"url":null,"abstract":"In this paper we discuss an adaptive method for the computation of discontinuous solutions of hyperbolic conservation laws. In each time level we use techniques coming from interpolatory multiresolution analyses for detecting discontinuities of the solution. The adaptive scheme uses first order upwind flux computation in the immediate neighbourhood of these irregularities. Since the differential equation holds in the smoothness domain, we follow the characteristics in the time marching procedure at grid points in that domain.","PeriodicalId":165081,"journal":{"name":"38th Midwest Symposium on Circuits and Systems. Proceedings","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"38th Midwest Symposium on Circuits and Systems. Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.1995.510292","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
In this paper we discuss an adaptive method for the computation of discontinuous solutions of hyperbolic conservation laws. In each time level we use techniques coming from interpolatory multiresolution analyses for detecting discontinuities of the solution. The adaptive scheme uses first order upwind flux computation in the immediate neighbourhood of these irregularities. Since the differential equation holds in the smoothness domain, we follow the characteristics in the time marching procedure at grid points in that domain.
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