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Stability analysis of intermediate boundary conditions in approximate factorization schemes - MaRDI portal

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Stability analysis of intermediate boundary conditions in approximate factorization schemes (Q1088546)

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scientific article; zbMATH DE number 3991143
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English
Stability analysis of intermediate boundary conditions in approximate factorization schemes
scientific article; zbMATH DE number 3991143

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    Stability analysis of intermediate boundary conditions in approximate factorization schemes (English)
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    1986
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    The paper discusses the role of the intermediate boundary condition in the AF2 scheme used by \textit{T. L. Holst} [e.g.: AIAA J. 17, 1038-1045 (1979; Zbl 0441.76003)] for simulation of the transonic full potential equation. We show that the treatment suggested by Holst led to a restriction on the time step and suggest ways to overcome this restriction. The discussion is based on the theory developed by \textit{B. Gustafsson, H. O. Kreiss} and \textit{A. Sundström} [Math. Comput. 26, 649-686 (1972; Zbl 0293.65076)] and also on the Von Neumann method.
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    approximate factorization schemes
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    compressible Navier-Stokes equations
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    transonic potential-flow
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    intermediate boundary condition
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    transonic full potential equation
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    Von Neumann method
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