Recent developments of the GRP method

被引:34
作者
Falcovitz, J [1 ]
BenArtzi, M [1 ]
机构
[1] HEBREW UNIV JERUSALEM, INST MATH, IL-91904 JERUSALEM, ISRAEL
关键词
generalized Riemann problem; conservation laws scheme; high-resolution simulation; shock wave phenomena;
D O I
10.1299/jsmeb.38.497
中图分类号
O414.1 [热力学];
学科分类号
摘要
A review of about a decade of development of the generalized Riemann problem (GRP) scheme is presented. The method is briefly outlined, followed by various numerical and physical extensions. The range of versatile applications of the GRP method is illustrated through numerous examples.
引用
收藏
页码:497 / 517
页数:21
相关论文
共 34 条
[1]   COMPUTATION OF REACTIVE DUCT FLOWS IN EXTERNAL FIELDS [J].
BENARTZI, M ;
BIRMAN, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 86 (01) :225-255
[2]   THE GENERALIZED RIEMANN PROBLEM FOR REACTIVE FLOWS [J].
BENARTZI, M .
JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 81 (01) :70-101
[3]   AN UPWIND 2ND-ORDER SCHEME FOR COMPRESSIBLE DUCT FLOWS [J].
BENARTZI, M ;
FALCOVITZ, J .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1986, 7 (03) :744-768
[4]   A 2ND-ORDER GODUNOV-TYPE SCHEME FOR COMPRESSIBLE FLUID-DYNAMICS [J].
BENARTZI, M ;
FALCOVITZ, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 55 (01) :1-32
[5]   APPLICATION OF THE GENERALIZED RIEMANN PROBLEM METHOD TO 1-D COMPRESSIBLE FLOWS WITH MATERIAL INTERFACES [J].
BENARTZI, M ;
BIRMAN, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 65 (01) :170-178
[6]  
BENARTZI M, 1985, SIAM PUBL, P66
[7]  
BENARTZI M, 1987, CONT MATH, V60, P11
[8]  
BENARTZI M, 1985, SPRINGER LECT NOTES, V218, P87
[9]   AN ASYMPTOTIC-EXPANSION FOR THE SOLUTION OF THE GENERALIZED RIEMANN PROBLEM .2. APPLICATION TO THE EQUATIONS OF GAS-DYNAMICS [J].
BOURGEADE, A ;
LEFLOCH, P ;
RAVIART, PA .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1989, 6 (06) :437-480
[10]  
BOURGEADE A, 1988, CEAN2570