TY - JOUR
T1 - An infinite mapping layer for deep water waves
AU - Toth, Florian
AU - Schoder, Stefan
AU - Kaltenbacher, Manfred
PY - 2017
Y1 - 2017
N2 - 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)
AB - 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)
U2 - https://doi.org/10.1002/pamm.201710313
DO - https://doi.org/10.1002/pamm.201710313
M3 - Article
SN - 1617-7061
SP - 689
EP - 690
JO - Proceedings in Applied Mathematics and Mechanics
JF - Proceedings in Applied Mathematics and Mechanics
ER -