A numerical study for WENO scheme-based on different lattice Boltzmann flux solver for compressible flows

作     者：You Li Xiao-Dong Niu Hai-Zhuan Yuan Adnan Khan Xiang Li 

作者机构：College of EngineeringShantou UniversityShantou 515063China School of Mathematics and Computational ScienceXiangtan UniversityXiangtan 411105China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2018年第34卷第6期

页      面：995-1014页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：This study was supported by the National Natural Science Foundation of China(Grants 11372168 11772179) 

主　　题：WENO scheme Hybrid Lattice Boltzmann flux solver Compressible inviscid flows Contact discontinuities Shock waves 

摘      要：In this paper,the finite difference weighted essentially non-oscillatory (WENO) scheme is incorporated into the recently developed four kinds of lattice Boltzmann flux solver (LBFS) to simulate compressible flows,including inviscid LBFS Ⅰ,viscous LBFS Ⅱ,hybrid LBFS Ⅲ and hybrid LBFS Ⅳ.Hybrid LBFS can automatically realize the switch between inviscid LBFS Ⅰ and viscous LBFS Ⅱ through introducing a switch *** resultant hybrid WENO-LBFS scheme absorbs the advantages of WENO scheme and hybrid *** investigate the performance of WENO scheme based on four kinds of LBFS *** results indicate that the devopled hybrid WENO-LBFS scheme has high accuracy,high resolution and no *** can not only accurately calculate smooth solutions,but also can effectively capture contact discontinuities and strong shock waves.