LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES

Autor:	Dina Tzemach, Manuela Longoni de Castro, Dan Givoli, Thomas Hagstrom
Rok vydání:	2007
Předmět:	Acoustics and Ultrasonics Applied Mathematics Mathematical analysis Finite difference Context (language use) Finite element method law.invention law Boundary value problem High order Scalar field Waveguide Free parameter Mathematics
Zdroj:	Journal of Computational Acoustics. 15:1-22
ISSN:	1793-6489 0218-396X
DOI:	10.1142/s0218396x07003184
Popis:	The scalar wave equation in a two-dimensional semi-infinite wave guide is considered. The recently proposed Hagstrom–Warburton (H–W) local high-order absorbing boundary conditions (ABCs), which are based on a modification of the Higdon ABCs, are presented in this context. The P-order ABC involves the free parameters 0 < aj ≤ 1, for j = 0, 1, …, P, which have to be chosen. The choice aj = 1 for all j is shown to be satisfactory, in general, although not necessarily optimal. The optimal choice of the parameters is discussed via both theoretical analysis and numerical experiments. In addition, an adaptive scheme which controls the time-varying values of P and aj is presented and tested.
Databáze:	OpenAIRE
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