Reference : Optimizing Perfectly Matched Layers in Discrete Contexts
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Engineering, computing & technology : Mechanical engineering
Physical, chemical, mathematical & earth Sciences : Mathematics
Optimizing Perfectly Matched Layers in Discrete Contexts
Modave, Axel [Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
Delhez, Eric mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales >]
Geuzaine, Christophe mailto [Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
International Journal for Numerical Methods in Engineering
Yes (verified by ORBi)
United Kingdom
[en] perfectly matched layer ; absorbing layer ; absorption function ; finite difference ; finite volume ; finite element
[en] Perfectly Matched Layers (PMLs) are widely used for the numerical simulation of wave-like problems defined on large or infinite spatial domains. However, for both the time-dependent and the time-harmonic cases, their performance critically depends on the so-called absorption function. This paper deals with the choice of this function when classical numerical methods are used (based on finite differences, finite volumes, continuous finite elements and discontinuous finite elements). After reviewing the properties of the PMLs at the continuous level, we analyse how they are altered by the different spatial discretizations. In the light of these results, different shapes of absorption function are optimized and compared by means of both one- and two-dimensional representative time-dependent cases. This study highlights the advantages of the so-called shifted hyperbolic function, which is efficient in all cases and does not require the tuning of a free parameter, by contrast with the widely used polynomial functions.
Researchers ; Professionals ; Students ; General public

File(s) associated to this reference

Fulltext file(s):

Restricted access
Modave201X_IJNME_Preprint.pdfAuthor postprint1.47 MBRequest copy

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.