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.
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。
