supported by the Key Program from Beijing Educational Commission(KZ200910028002);PHR(IHLB)and NSFC(10971142,11031001);supported by the National Basic Research Program under the Grant 2005CB321703;the National Natural Science Foundation of China(No.10925101,10828101);the Program for New Century Excellent Talents in University(NCET-07-0022);the Doctoral Program of Education Ministry of China(No.20070001036).
The adaptive generalized Riemann problem(GRP)scheme for 2-D compressible fluid flows has been proposed in[J.Comput.Phys.,229(2010),1448–1466]and it displays the capability in overcoming difficulties such as the start...