Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I:One Dimensional Euler Equations  

作　　者：Jin Qi Yue Wang Jiequan Li 

机构地区：[1]School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China [2]Institute of Applied Physics and Computational Mathematics,Beijing 100094,China

出　　处：《Communications in Computational Physics》2014年第4期1029-1044,共16页计算物理通讯（英文）

基　　金：supported by NSFC(91130021);Jin Qi is supported by NSFC(1171037,11201033);CAEP under project 2012A0202010;Jiequan Li is supported by NSFC(91130021,11371063,11031001);the Doctoral program from Educational Ministry(20130003110004);an open project from Institute of Applied Physics and Computational Mathematics,Beijing。

摘　　要：In this paper,a remapping-free adaptive GRP method for one dimensional(1-D)compressible flows is developed.Based on the framework of finite volume method,the 1-D Euler equations are discretized on moving volumes and the resulting numerical fluxes are computed directly by the GRP method.Thus the remapping process in the earlier adaptive GRP algorithm[17,18]is omitted.By adopting a flexible moving mesh strategy,this method could be applied for multi-fluid problems.The interface of two fluids will be kept at the node of computational grids and the GRP solver is extended at the material interfaces of multi-fluid flows accordingly.Some typical numerical tests show competitive performances of the new method,especially for contact discontinuities of one fluid cases and the material interface tracking of multi-fluid cases.

关 键 词：The GRP method multi-fluid flows the Euler equations the adaptive mesh method 

分 类 号：O17[理学—数学]