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Mathematics of Computation

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Absorbing boundary conditions for the linearized Euler equations in $ 2$-D

Author: Dietmar Kröner
Journal: Math. Comp. 57 (1991), 153-167
MSC: Primary 65N99; Secondary 76M25, 76N15
MathSciNet review: 1079023
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Abstract: In this paper we shall derive some approximate absorbing boundary conditions for the initial value problem for the unsteady linearized Euler equations in 2-D. Since we assume that the coefficients of the system are constant, we can describe the transformation of the system to a decoupled system of ODE's and the related absorbing boundary conditions explicitly. We shall verify the usefulness of these boundary conditions in some numerical tests for the nonlinear Euler equations in 2-D.

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Article copyright: © Copyright 1991 American Mathematical Society

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