Computational Technology Resources - CSETS

M.N. Guddati¹, K.W. Lim² and M.A. Zahid³

¹North Carolina State University, Raleigh NC, United States of America
²SGH Consultants, Boston MA, United States of America
³Arcadis, Baton Rouge LA, United States of America

Keywords: absorbing boundary conditions, non-reflecting boundary conditions, perfectly matched layers, wave propagation, finite elements, finite differences.

Abstract

Perfectly Matched Layers (PML) have been very successful in modeling unbounded domains, but suffer from two disadvantages: (a) they are no longer perfectly matched when discretized and (b) significant care is needed to design the stretching function to minimize the reflections. This chapter outlines a simple variant of PML that eliminates these disadvantages. It is shown that the use of linear discretization with midpoint integration makes the layers perfectly matched even after discretization. Called perfectly matched discrete layers (PMDL), they are also linked to the continued fraction approximation of the exact impedance operator, and thus to all the existing local absorbing boundary conditions (ABCs). By relating PML and local ABCs, PMDL combines the computational efficiency of local ABCs with the broader applicability of PML. This chapter contains the basic ideas behind PMDL as well as the illustration of its effectiveness using various numerical examples.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 18 COMPUTATIONAL METHODS FOR ACOUSTICS PROBLEMS Edited by: F. Magoulès Chapter 3 Perfectly Matched Discrete Layers for Unbounded Domain Modeling M.N. Guddati¹, K.W. Lim² and M.A. Zahid³ ¹North Carolina State University, Raleigh NC, United States of America ²SGH Consultants, Boston MA, United States of America ³Arcadis, Baton Rouge LA, United States of America doi:10.4203/csets.18.3 purchase the full-text of this chapter Full Bibliographic Reference for this chapter M.N. Guddati, K.W. Lim, M.A. Zahid, "Perfectly Matched Discrete Layers for Unbounded Domain Modeling", in F. Magoulès, (Editor), "Computational Methods for Acoustics Problems", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 3, pp 69-98, 2008. doi:10.4203/csets.18.3 Keywords: absorbing boundary conditions, non-reflecting boundary conditions, perfectly matched layers, wave propagation, finite elements, finite differences. Abstract Perfectly Matched Layers (PML) have been very successful in modeling unbounded domains, but suffer from two disadvantages: (a) they are no longer perfectly matched when discretized and (b) significant care is needed to design the stretching function to minimize the reflections. This chapter outlines a simple variant of PML that eliminates these disadvantages. It is shown that the use of linear discretization with midpoint integration makes the layers perfectly matched even after discretization. Called perfectly matched discrete layers (PMDL), they are also linked to the continued fraction approximation of the exact impedance operator, and thus to all the existing local absorbing boundary conditions (ABCs). By relating PML and local ABCs, PMDL combines the computational efficiency of local ABCs with the broader applicability of PML. This chapter contains the basic ideas behind PMDL as well as the illustration of its effectiveness using various numerical examples. purchase the full-text of this chapter (price £25) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £95 +P&P)
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