TY - JOUR
T1 - Numerical solution of the equations of compressible flow by a transport method
AU - Rivlin, J.
AU - Kaniel, S.
PY - 1990
Y1 - 1990
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84985323113&partnerID=8YFLogxK
U2 - 10.1002/num.1690060305
DO - 10.1002/num.1690060305
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AN - SCOPUS:84985323113
SN - 0749-159X
VL - 6
SP - 245
EP - 261
JO - Numerical Methods for Partial Differential Equations
JF - Numerical Methods for Partial Differential Equations
IS - 3
ER -