An Improved Gas-Kinetic Scheme for Multimaterial Flows  

作　　者：Qibing Li 

机构地区：[1]AML,Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China

出　　处：《Communications in Computational Physics》2020年第1期145-166,共22页计算物理通讯（英文）

基　　金：supported by Science Challenge Project(TZ2016001);National Natural Science Foundation of China(U1430235);Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund(the second phase).

摘　　要：The efficiency of recently developed gas-kinetic scheme for multimaterial flows is increased through the adoption of a new iteration method in the kinetic non-mixing Riemann solver and an interface sharpening reconstruction method at a cell interface.The iteration method is used to determine the velocity of fluid interface,based on the force balance between both sides due to the incidence and bounce back of particles at the interface.An improved Aitken method is proposed with a simple hybrid of the modified Aitken method(Aitken-Chen)and the Steffensen method.Numerical tests validate its efficiency with significantly less calls to the function not only for the average number but also for the maximum.The new reconstruction is based on the tangent of hyperbola for interface capturing(THINC)but applied only to the volume fraction,which is very simple to be implemented under the stratified frame-work and capable of resolving fluid interface in mixture.Furthermore,the directional splitting is adopted rather than the previous quasi-one-dimensional method.Typical numerical tests,including several watergas shock tube flows,and the shock-water cylinder interaction flow show that the improved gas-kinetic scheme can capture fluid interfaces much sharper,while preserving the advantages of the original one.

关 键 词：Gas-kinetic scheme non-mixing interface model stiffened equation of state im-proved Aitken method tangent of hyperbola for interface capturing 

分 类 号：O17[理学—数学]