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An infinite mapping layer for deep water waves
Author(s) -
Toth Florian,
Schoder Stefan,
Kaltenbacher Manfred
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710313
Subject(s) - bounded function , domain (mathematical analysis) , simple (philosophy) , layer (electronics) , function (biology) , surface (topology) , mathematical analysis , perfectly matched layer , finite element method , algorithm , computer science , geometry , mathematics , physics , materials science , thermodynamics , philosophy , epistemology , evolutionary biology , composite material , biology , boundary value problem
In order to accurately and efficiently model the propagation of surface gravity waves in infinitely deep domains, we introduce an infinite mapping layer which transforms the unbounded physical domain into a bounded computational domain by means of a mapping function. The method was implemented in the framework of the finite element method, where it can be straightforwardly combined with a perfectly matched layer to model unbounded domains in horizontal direction. Finally, the application of the method is demonstrated by a simple 3D example. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)