TY - JOUR
T1 - Computation of reactive duct flows in external fields
AU - Ben-Artzi, Matania
AU - Birman, Amnon
PY - 1990/1
Y1 - 1990/1
N2 - A GRP-scheme is introduced for the numerical integration of the Euler system of equations of compressible reactive flow in a duct of variable cross section, subject to an external potential. The GRP (generalized Riemann problem) scheme is based on an analytic solution of the GRP at jump discontinuities. It is a second-order scheme generalizing the first-order Godunov scheme, having the property of high resolution of shocks and other discontinuities. Some numerical examples are considered, including an infinite spherical reflected shock, a spherical blast wave and gas collapse under an external potential.
AB - A GRP-scheme is introduced for the numerical integration of the Euler system of equations of compressible reactive flow in a duct of variable cross section, subject to an external potential. The GRP (generalized Riemann problem) scheme is based on an analytic solution of the GRP at jump discontinuities. It is a second-order scheme generalizing the first-order Godunov scheme, having the property of high resolution of shocks and other discontinuities. Some numerical examples are considered, including an infinite spherical reflected shock, a spherical blast wave and gas collapse under an external potential.
UR - http://www.scopus.com/inward/record.url?scp=28144449832&partnerID=8YFLogxK
U2 - 10.1016/0021-9991(90)90099-M
DO - 10.1016/0021-9991(90)90099-M
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AN - SCOPUS:28144449832
SN - 0021-9991
VL - 86
SP - 225
EP - 255
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -