An infinite mapping layer for deep water waves. Issue 1 (15th March 2018)

• Record Type: Journal Article
• Authors: Toth, Florian; Schoder, Stefan; Kaltenbacher, Manfred
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 17:Issue 1(2017)
• Page Start: 689
• Page End: 690
• Publication Date: 2018-03-15
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201710313
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: 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)