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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2005 Volume 45, Number 7, Pages 1251–1278 (Mi zvmmf629)

This article is cited in 8 papers

Artificial boundary conditions for numerical simulation of subsonic gas flows

L. V. Dorodnitsyn

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

Abstract: The reflection of gas dynamic waves from artificial computational boundaries used in the simulation of subsonic flows past bodies is analyzed. Nonreflecting boundary conditions for one-dimensional linearized Euler equations are examined in terms of their applicability to full settings. Particular attention is given to flows at low Mach numbers. Techniques are proposed for adapting linear boundary conditions to flow problems with allowance for nonlinearity, two-dimensionality, viscosity, and discretization. The techniques are illustrated by computations of essentially subsonic flows.

Key words: gas dynamics, transparent boundary conditions, finite-difference schemes.

UDC: 519.634

Received: 21.12.2004
Revised: 24.02.2005


 English version:
Computational Mathematics and Mathematical Physics, 2005, 45:7, 1209–1234

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