On Devising Boussinesq-type Equations with Bounded Eigenspectra: Two Horizontal Dimensions

Claes Eskilsson, Allan Peter Engsig-Karup

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Abstract

Boussinesq-type equations are used to describe the propagation and transformation of free-surface waves in the nearshore region. The nonlinear and dispersive performance of the equations are determined by tunable parameters. Recently the authors presented conditions on the free parameters under which a Nwogu-type equations would yield bounded eigenspectra [5]. This leads to a global conditional CFL time-step restriction which is shown to not be affected by the discretisation method and in this sense the CFL condition is tamed to impose a minimal constraint. In this paper we extend the previous study and provide numerical experimentswhich confirms the theoretical results also is valid in two horizontal dimensions.
Original languageEnglish
Title of host publicationProceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014)
Number of pages7
PublisherSpringer
Publication date2015
Publication statusPublished - 2015
Event18th European Conference on Mathematics for Industry - Taormina, Italy
Duration: 9 Jun 201413 Jun 2014
Conference number: 18

Conference

Conference18th European Conference on Mathematics for Industry
Number18
CountryItaly
CityTaormina
Period09/06/201413/06/2014

Cite this

Eskilsson, C., & Engsig-Karup, A. P. (2015). On Devising Boussinesq-type Equations with Bounded Eigenspectra: Two Horizontal Dimensions. In Proceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014) Springer.