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Numerical solution of the equations of compressible flow by a transport method
Author(s) -
Rivlin J.,
Kaniel S.
Publication year - 1990
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690060305
Subject(s) - mathematics , compressible flow , boundary value problem , numerical analysis , compressibility , flow (mathematics) , mathematical analysis , geometry , mechanics , physics
This paper implements a numerical solution of the equations of compressible flow, by a transport method. The model is based on a kinetic model, built for the fluid motion. It transforms the equations of motion into integral equations, solved by an analytical‐numerical method. Precomputation of tables for some canonical integrals reduces the amount of work. A boundary value problem (flow into a wedge) is treated and numerical solutions are exhibited. The paper deals with isentropic flow. It is an important special case, among the variety of problems where the assumption of constant entropy causes a negligible error.