Self-adjusting entropy-stable scheme for compressible Euler equations  

作　　者：程晓晗 聂玉峰 封建湖 Luo Xiao-Yu 蔡力 

机构地区：[1]School of Science,Northwestern Polytechnical University [2]School of Science,Chang'an University [3]School of Mathematics and Statistics,University of Glasgow

出　　处：《Chinese Physics B》2015年第2期16-22,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11171043,11101333,and 11471261);the Doctorate Foundation of Northwestern Polytechnical University(Grant No.CX201426)

摘　　要：In this work,a self-adjusting entropy-stable scheme is proposed for solving compressible Euler equations.The entropy-stable scheme is constructed by combining the entropy conservative flux with a suitable diffusion operator.The entropy has to be preserved in smooth solutions and be dissipated at shocks.To achieve this,a switch function,which is based on entropy variables,is employed to make the numerical diffusion term be automatically added around discontinuities.The resulting scheme is still entropy-stable.A number of numerical experiments illustrating the robustness and accuracy of the scheme are presented.From these numerical results,we observe a remarkable gain in accuracy.In this work,a self-adjusting entropy-stable scheme is proposed for solving compressible Euler equations.The entropy-stable scheme is constructed by combining the entropy conservative flux with a suitable diffusion operator.The entropy has to be preserved in smooth solutions and be dissipated at shocks.To achieve this,a switch function,which is based on entropy variables,is employed to make the numerical diffusion term be automatically added around discontinuities.The resulting scheme is still entropy-stable.A number of numerical experiments illustrating the robustness and accuracy of the scheme are presented.From these numerical results,we observe a remarkable gain in accuracy.

关 键 词：compressible Euler equations entropy-stable scheme switch function 

分 类 号：O551[理学—热学与物质分子运动论]