TY - JOUR
T1 - Recent developments of the GRP method
AU - Falcovitz, Joseph
AU - Ben-Artzi, Matania
PY - 1995/11
Y1 - 1995/11
N2 - A review of about a decade of development of the generalized Riemann problem (GRP) scheme is proposed. Basically, the GRP is an 'analytic high-resolution' (second-order) extension of the classical Godunov scheme, designed to solve numerically systems of conservation or 'quasi-conservation' laws. One can also describe the method as a sort of 'hybrid' scheme, incorporating the detailed analysis of the characteristic structure at singularities into a robust 'shock capturing' method, based on conservative differencing. The various numerical and physical extensions are presented. The range of versatile applications of the GRP method is illustrated through numerous examples.
AB - A review of about a decade of development of the generalized Riemann problem (GRP) scheme is proposed. Basically, the GRP is an 'analytic high-resolution' (second-order) extension of the classical Godunov scheme, designed to solve numerically systems of conservation or 'quasi-conservation' laws. One can also describe the method as a sort of 'hybrid' scheme, incorporating the detailed analysis of the characteristic structure at singularities into a robust 'shock capturing' method, based on conservative differencing. The various numerical and physical extensions are presented. The range of versatile applications of the GRP method is illustrated through numerous examples.
UR - http://www.scopus.com/inward/record.url?scp=0029408592&partnerID=8YFLogxK
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AN - SCOPUS:0029408592
SN - 0914-8817
VL - 38
SP - 497
EP - 517
JO - JSME International Journal, Series 2: Fluids Engineering, Heat Transfer, Power, Combustion, Thermophysical Properties
JF - JSME International Journal, Series 2: Fluids Engineering, Heat Transfer, Power, Combustion, Thermophysical Properties
IS - 4
ER -