Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations  被引量:1

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作  者:Xiaofeng Cai Wei Guo Jing-Mei Qiu 

机构地区:[1]Department of Mathematical Sciences,University of Delaware,Newark,DE 19716,USA [2]Department of Mathematics and Statistics,Texas Tech University,Lubbock,TX 70409,USA

出  处:《Communications on Applied Mathematics and Computation》2022年第1期3-33,共31页应用数学与计算数学学报(英文)

基  金:W.Guo:Research is supported by NSF grant NSF-DMS-1830838;J.-M.Qiu:Research is supported by NSF grant NSF-DMS-1522777 and NSF-DMS-1818924;Air Force Office of Scientific Computing FA9550-18-1-0257.

摘  要:Transport problems arise across diverse fields of science and engineering.Semi-Lagran-gian(SL)discontinuous Galerkin(DG)methods are a class of high-order deterministic transport solvers that enjoy advantages of both the SL approach and the DG spatial discre-tization.In this paper,we review existing SLDG methods to date and compare numerically their performance.In particular,we make a comparison between the splitting and non-splitting SLDG methods for multi-dimensional transport simulations.Through extensive numerical results,we offer a practical guide for choosing optimal SLDG solvers for linear and nonlinear transport simulations.

关 键 词:Semi-Lagrangian(SL) Discontinuous Galerkin(DG) Transport simulations SPLITTING Non-splitting COMPARISON 

分 类 号:O17[理学—数学]

 

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