{"title":"Validation of a Dynamically Adaptive Lattice Boltzmann Method for 2D Thermal Convection Simulations","authors":"Kai Feldhusen, R. Deiterding, C. Wagner","doi":"10.1109/MCSI.2015.60","DOIUrl":null,"url":null,"abstract":"Utilizing the Boussinesq approximation, a double-population thermal lattice Boltzmann method (LBM) for forced and natural convection in two space dimensions is developed and validated. A block-structured dynamic adaptive mesh refinement procedure tailored for LBM is applied to enable computationally efficient simulations of high Rayleigh number configurations which are characterized by a large scale disparity in boundary layers and free stream flow. As test cases, the analytically accessible problem of a two-dimensional (2D) forced convection flow through two porous plates and the non-Cartesian configuration of a heated rotating cylinder are considered. The effectiveness of the overall approach is demonstrated for the 2D natural convection benchmark of a cavity with differentially heated walls at Rayleigh numbers from 103 up to 108.","PeriodicalId":371635,"journal":{"name":"2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MCSI.2015.60","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Utilizing the Boussinesq approximation, a double-population thermal lattice Boltzmann method (LBM) for forced and natural convection in two space dimensions is developed and validated. A block-structured dynamic adaptive mesh refinement procedure tailored for LBM is applied to enable computationally efficient simulations of high Rayleigh number configurations which are characterized by a large scale disparity in boundary layers and free stream flow. As test cases, the analytically accessible problem of a two-dimensional (2D) forced convection flow through two porous plates and the non-Cartesian configuration of a heated rotating cylinder are considered. The effectiveness of the overall approach is demonstrated for the 2D natural convection benchmark of a cavity with differentially heated walls at Rayleigh numbers from 103 up to 108.
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