Variational Boussinesq model for simulation of coastal waves and tsunamis

Didit Adytia, E. van Groesen

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    Abstract

    In this paper we describe the basic ideas of a so-called Variational Boussinesq Model which is based on the Hamiltonian structure of gravity surface waves. By using a rather simple approach to prescribe the profile of vertical fluid potential in the expression for the kinetic energy, we obtain a set of dynamic equations extended with one additional elliptic equation for the amplitude of the vertical profile. All expressions in the energy contain at most first order derivatives, which makes a numerical implementation with finite elements relatively easy. The applicability of the code is illustrated for two different applications in this paper. One application deals with tsunami simulations, for which we show the phenomenon of tsunami waveguiding before the coast of Lampung in Indonesia. Another application deals with simulations of coastal waves entering the small harbour of Cilacap on the south-coast of Java, Indonesia; we will show that the simulations indicate a resonance phenomenon in the small inner harbour.
    Original languageEnglish
    Title of host publicationAsian and Pacific Coasts 2009
    Subtitle of host publicationProceedings of the 5th International Conference on APAC 2009, Singapore, 13–16 October 2009
    EditorsSoon Keat Tan, Zhenhua Huang
    Place of PublicationSingapore
    PublisherWorld Scientific
    Pages122-128
    Number of pages7
    ISBN (Electronic)978-981-4287-95-1, 978-981-4466-56-1
    ISBN (Print)978-981-4287-944, 978-981-4287-968
    DOIs
    Publication statusPublished - 2009
    Event5th International Conferenc on Asian and Pacific Coasts, APAC 2009 - Singapore, Singapore
    Duration: 13 Oct 200916 Oct 2009
    Conference number: 5

    Conference

    Conference5th International Conferenc on Asian and Pacific Coasts, APAC 2009
    Abbreviated titleAPAC
    CountrySingapore
    CitySingapore
    Period13/10/0916/10/09

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  • Cite this

    Adytia, D., & van Groesen, E. (2009). Variational Boussinesq model for simulation of coastal waves and tsunamis. In S. K. Tan, & Z. Huang (Eds.), Asian and Pacific Coasts 2009: Proceedings of the 5th International Conference on APAC 2009, Singapore, 13–16 October 2009 (pp. 122-128). Singapore: World Scientific. https://doi.org/10.1142/9789814287951_0012