{"title":"Efficient lattice Boltzmann method for specialized Kuramoto-Sivashinsky equation","authors":"Cai-Zhong Li, Xie Wenxian","doi":"10.1109/TENCON.2013.6718850","DOIUrl":null,"url":null,"abstract":"In this paper, a new lattice Boltzmann model with a first order amending term is offered to solve the specialized Kuramoto-Sivashinsky equation. The governing equation can be recovered generally from the proposed Boltzmann equation based on the Chapman-Enskog expansion. The numerical results agree well with the exact solutions and it verifies that the presented lattice Boltzmann method is suitable for solving the specialized Kuramoto-Sivashinsky equation.","PeriodicalId":425023,"journal":{"name":"2013 IEEE International Conference of IEEE Region 10 (TENCON 2013)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE International Conference of IEEE Region 10 (TENCON 2013)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TENCON.2013.6718850","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, a new lattice Boltzmann model with a first order amending term is offered to solve the specialized Kuramoto-Sivashinsky equation. The governing equation can be recovered generally from the proposed Boltzmann equation based on the Chapman-Enskog expansion. The numerical results agree well with the exact solutions and it verifies that the presented lattice Boltzmann method is suitable for solving the specialized Kuramoto-Sivashinsky equation.
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