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Wave filtering through a selective perfectly matched layer in multiscale couplings with dynamically incompatible models
Author(s) -
Marchais J.,
Chamoin L.,
Rey C.
Publication year - 2016
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5428
Subject(s) - spurious relationship , computer science , projection (relational algebra) , coupling (piping) , operator (biology) , interface (matter) , layer (electronics) , signal (programming language) , point (geometry) , range (aeronautics) , wavelength , algorithm , scale (ratio) , key (lock) , optics , physics , mathematics , machine learning , geometry , materials science , mechanical engineering , engineering , repressor , chemistry , maximum bubble pressure method , composite material , biochemistry , bubble , quantum mechanics , parallel computing , transcription factor , programming language , gene , computer security
Summary In this paper, we develop a strategy that enables a consistent wave transfer when coupling mechanical models exhibiting various description scales under dynamic loading. Incompatibilities between concurrent models are addressed by a selective filtering based on the perfectly matched layer framework and involving a dedicated projection operator. This filtering, performed in the vicinity of the coupling interface, aims at avoiding spurious wave reflections by automatically killing part of the signal with wavelength range not compatible with the downstream (coarser scale) model while the relevant complementary part is transferred. Performances of the proposed approach are evaluated in details by conducting one‐dimensional and two‐dimensional numerical experiments. The definition of the projection operator, which is a key point of the method, is particularly tackled by analyzing and comparing several possible choices. Copyright © 2016 John Wiley & Sons, Ltd.