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

Kröner, Dietmar

doi:10.1090/S0025-5718-1991-1079023-0

Absorbing boundary conditions for the linearized Euler equations in $2$-D
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by Dietmar Kröner PDF

Math. Comp. 57 (1991), 153-167 Request permission

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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