Finite element wave model for Laplace equation

Taehwa Jung, Sang Young Son

Research output: Contribution to journalArticle

Abstract

The mild-slope equation has been used for calculation of the surface gravity water wave transformation. Recently, its extended versions were introduced, which is capable of modeling wave transformation on rapidly varying topography. These equations were derived by integrating the Laplace equation vertically. Here, we develop a new finite element model to solve the Laplace equation directly while keeping the same computational efficiency as the mild-slope equation. This model assumes the vertical variation of the wave potential as a cosine hyperbolic function as done in the derivation of the mild-slope equation, and the Galerkin method is used to get a finite element solution. The computational domain is discretized with an infinite element. The applicability of the developed model is verified through example analyses of two-dimensional wave reflection and transmission.

Original languageEnglish
Pages (from-to)4869-4874
Number of pages6
JournalInformation (Japan)
Volume18
Issue number12
Publication statusPublished - 2015 Dec 1

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Laplace equation
Hyperbolic functions
Gravity waves
Wave transmission
Water waves
Galerkin methods
Computational efficiency
Topography

Keywords

  • Finite element method
  • Infinite element
  • Laplace equation
  • Mild-slope equation

ASJC Scopus subject areas

  • Information Systems

Cite this

Finite element wave model for Laplace equation. / Jung, Taehwa; Son, Sang Young.

In: Information (Japan), Vol. 18, No. 12, 01.12.2015, p. 4869-4874.

Research output: Contribution to journalArticle

Jung, T & Son, SY 2015, 'Finite element wave model for Laplace equation', Information (Japan), vol. 18, no. 12, pp. 4869-4874.
Jung, Taehwa ; Son, Sang Young. / Finite element wave model for Laplace equation. In: Information (Japan). 2015 ; Vol. 18, No. 12. pp. 4869-4874.
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