TY - GEN
T1 - GRP - AN ANALYTIC APPROACH TO HIGH-RESOLUTION UPWIND SCHEMES FOR COMPRESSIBLE FLUID FLOW.
AU - Ben-Artzi, Matania
AU - Falcovitz, Joseph
PY - 1985
Y1 - 1985
N2 - An approach is presented to the time integration of the Euler Equations based on an analytic extension of Godunov's scheme which has its origin in the work of van-Leer. It can be used either as a direct Eulerian method or as a Lagrangian scheme. In both frames the method yields a sequence of schemes with increasing degree of complexity. The Lagrangian schemes are very close to the MUSCL scheme of van-Leer, which can be shown to be equivalent to our L//2 scheme. The following features are shared by all the schemes presented here: (1) upwinding, second-order accuracy and high resolution of discontinuities, and (2) robustness and simplicity of implementation.
AB - An approach is presented to the time integration of the Euler Equations based on an analytic extension of Godunov's scheme which has its origin in the work of van-Leer. It can be used either as a direct Eulerian method or as a Lagrangian scheme. In both frames the method yields a sequence of schemes with increasing degree of complexity. The Lagrangian schemes are very close to the MUSCL scheme of van-Leer, which can be shown to be equivalent to our L//2 scheme. The following features are shared by all the schemes presented here: (1) upwinding, second-order accuracy and high resolution of discontinuities, and (2) robustness and simplicity of implementation.
UR - http://www.scopus.com/inward/record.url?scp=0021977072&partnerID=8YFLogxK
U2 - 10.1007/3-540-13917-6_114
DO - 10.1007/3-540-13917-6_114
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AN - SCOPUS:0021977072
SN - 3540139176
SN - 9783540139171
T3 - Lecture Notes in Physics
SP - 87
EP - 91
BT - Lecture Notes in Physics
PB - Springer Verlag
ER -