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

Claes Eskilsson; Allan Peter Engsig-Karup

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

Claes Eskilsson
, Allan Peter Engsig-Karup

Chalmers University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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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 language	English
Title of host publication	Proceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014)
Number of pages	7
Publisher	Springer
Publication date	2015
Publication status	Published - 2015
Event	18th European Conference on Mathematics for Industry - Taormina, Italy Duration: 9 Jun 2014 → 13 Jun 2014 Conference number: 18 https://ecmi2014.taosciences.org/

Conference

Conference	18th European Conference on Mathematics for Industry
Number	18
Country/Territory	Italy
City	Taormina
Period	09/06/2014 → 13/06/2014
Internet address	https://ecmi2014.taosciences.org/

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@inproceedings{6d2baf74a1ec4c258c28b5c1e07a81c5,

title = "On Devising Boussinesq-type Equations with Bounded Eigenspectra: Two Horizontal Dimensions",

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.",

author = "Claes Eskilsson and Engsig-Karup, \{Allan Peter\}",

year = "2015",

language = "English",

booktitle = "Proceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014)",

publisher = "Springer",

note = "18th European Conference on Mathematics for Industry, ECMI 2014 ; Conference date: 09-06-2014 Through 13-06-2014",

url = "https://ecmi2014.taosciences.org/",

}

TY - GEN

T1 - On Devising Boussinesq-type Equations with Bounded Eigenspectra: Two Horizontal Dimensions

AU - Eskilsson, Claes

AU - Engsig-Karup, Allan Peter

N1 - Conference code: 18

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

M3 - Article in proceedings

BT - Proceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014)

PB - Springer

T2 - 18th European Conference on Mathematics for Industry

Y2 - 9 June 2014 through 13 June 2014

ER -

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

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