Optimal Local Nonreflecting Boundary Conditions for Time-Dependent Waves

Abstract

Journal of Computational AcousticsVol. 08, No. 01, pp. 157-170 (2000) No AccessOPTIMAL LOCAL NONREFLECTING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVESIGOR PATLASHENKO and DAN GIVOLIIGOR PATLASHENKOHummingbird Communications LTD., 1 Sparks Avenue, North York, Ontario, Canada M2H 2W1, Canada Search for more papers by this author and DAN GIVOLIDepartment of Aerospace Engineering, and Asher Center for Space Research, Technion — Israel Institute of Technology, Haifa 32000, Israel Search for more papers by this author https://doi.org/10.1142/S0218396X00000108Cited by:2 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractNonreflecting Boundary Conditions (NRBCs) are often used on artificial boundaries as a method for the numerical solution of wave problems in unbounded domains. Recently, a two-parameter hierarchy of optimal local NRBCs of increasing order has been developed for elliptic problems, including the problem of time-harmonic acoustic waves. The optimality is in the sense that the local NRBC best approximates the exact nonlocal Dirichlet-to-Neumann (DtN) boundary condition in the L2 norm for functions which can be Fourier-decomposed. The optimal NRBCs are combined with finite element discretization in the computational domain. Here this approach is extended to time-dependent acoustic waves. In doing this, the Semi-Discrete DtN approach is used as the starting point. Numerical examples involving propagating disturbances in two dimensions are given. FiguresReferencesRelatedDetailsCited By 2An optimal high-order non-reflecting finite element scheme for wave scattering problemsDan Givoli and Igor Patlashenko1 January 2002 | International Journal for Numerical Methods in Engineering, Vol. 53, No. 10Nonreflecting boundary condition for the wave equationUsaf E. Aladl, A.S. Deakin and H. Rasmussen1 Jan 2002 | Journal of Computational and Applied Mathematics, Vol. 138, No. 2 Recommended Vol. 08, No. 01 Metrics History Received 5 July 1999 Revised 5 July 1999 PDF download