Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems

In this paper we describe an algorithm for the nonlocal artificial boundary conditions setting at the external boundary of a computational domain while numerically solving unbounded viscous compressible flow problems past the finite bodies. Our technique is based on the usage of generalized Calderon...

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Bibliographic Details
Published inSIAM journal on numerical analysis Vol. 32; no. 5; pp. 1355 - 1389
Main Authors V. S. Ryaben'Kii, Tsynkov, S. V.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.10.1995
Subjects
Applied mathematics
Approximation
Boundary conditions
Coefficients
Eigenvalues
Jordan matrices
Mathematical functions
Mathematical vectors
Navier Stokes equation
Nonlinear equations
Vector valued functions
Viscous flow
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Summary:In this paper we describe an algorithm for the nonlocal artificial boundary conditions setting at the external boundary of a computational domain while numerically solving unbounded viscous compressible flow problems past the finite bodies. Our technique is based on the usage of generalized Calderon projection operators and the application of the difference potentials method. Some computational results are presented.
ISSN:0036-1429
1095-7170
DOI:10.1137/0732063