Spatial-Spectral Hamiltonian Boussinesq Wave Simulations

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Abstract

This contribution concerns a specific simulation method for coastal wave engineering applications. As is common to reduce computational costs the flow is assumed to be irrotational so that a Boussinesq-type of model in horizontal variables only can be used. Here we advocate the use of such a model that respects the Hamiltonian structure of the wave equations. To avoid approximations of the dispersion relation by an algebraic relation that is needed for finite element/difference methods, we propose a spatial-spectral implementation which can model dispersion exactly for all wave lengths. Results with a relatively simple spatial-spectral implementation of the advanced theoretical model will be compared to experiments for harmonic waves and irregular waves over a submerged trapezoidal bar and bichromatic wave breaking above a flat bottom; calculation times are typically less than 25% of the physical time in environmental geometries.
Original languageEnglish
Title of host publicationProceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014)
EditorsP. Krishnankutty
Place of PublicationIndia
PublisherIndian Institute of Technology Madras
Pages19-24
Number of pages6
ISBN (Print)978-93-80689-22-7
Publication statusPublished - 4 Dec 2014

Publication series

NameAdvances in Computational and Experimental Marine Hydrodynamics
PublisherDepartment of Ocean Engineering, Indian Institute of Technology Madras and The Royal Institution of Naval Architects
Volume2

Fingerprint

simulation
wave equations
engineering
costs
harmonics
geometry
approximation

Keywords

  • EWI-25871
  • Wave Simulations
  • METIS-310016
  • Analytic Boussinesq
  • IR-95266

Cite this

Kurnia, R., & van Groesen, E. W. C. (2014). Spatial-Spectral Hamiltonian Boussinesq Wave Simulations. In P. Krishnankutty (Ed.), Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014) (pp. 19-24). (Advances in Computational and Experimental Marine Hydrodynamics; Vol. 2). India: Indian Institute of Technology Madras.
Kurnia, Ruddy ; van Groesen, Embrecht W.C. / Spatial-Spectral Hamiltonian Boussinesq Wave Simulations. Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014). editor / P. Krishnankutty. India : Indian Institute of Technology Madras, 2014. pp. 19-24 (Advances in Computational and Experimental Marine Hydrodynamics).
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title = "Spatial-Spectral Hamiltonian Boussinesq Wave Simulations",
abstract = "This contribution concerns a specific simulation method for coastal wave engineering applications. As is common to reduce computational costs the flow is assumed to be irrotational so that a Boussinesq-type of model in horizontal variables only can be used. Here we advocate the use of such a model that respects the Hamiltonian structure of the wave equations. To avoid approximations of the dispersion relation by an algebraic relation that is needed for finite element/difference methods, we propose a spatial-spectral implementation which can model dispersion exactly for all wave lengths. Results with a relatively simple spatial-spectral implementation of the advanced theoretical model will be compared to experiments for harmonic waves and irregular waves over a submerged trapezoidal bar and bichromatic wave breaking above a flat bottom; calculation times are typically less than 25{\%} of the physical time in environmental geometries.",
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Kurnia, R & van Groesen, EWC 2014, Spatial-Spectral Hamiltonian Boussinesq Wave Simulations. in P Krishnankutty (ed.), Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014). Advances in Computational and Experimental Marine Hydrodynamics, vol. 2, Indian Institute of Technology Madras, India, pp. 19-24.

Spatial-Spectral Hamiltonian Boussinesq Wave Simulations. / Kurnia, Ruddy; van Groesen, Embrecht W.C.

Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014). ed. / P. Krishnankutty. India : Indian Institute of Technology Madras, 2014. p. 19-24 (Advances in Computational and Experimental Marine Hydrodynamics; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - This contribution concerns a specific simulation method for coastal wave engineering applications. As is common to reduce computational costs the flow is assumed to be irrotational so that a Boussinesq-type of model in horizontal variables only can be used. Here we advocate the use of such a model that respects the Hamiltonian structure of the wave equations. To avoid approximations of the dispersion relation by an algebraic relation that is needed for finite element/difference methods, we propose a spatial-spectral implementation which can model dispersion exactly for all wave lengths. Results with a relatively simple spatial-spectral implementation of the advanced theoretical model will be compared to experiments for harmonic waves and irregular waves over a submerged trapezoidal bar and bichromatic wave breaking above a flat bottom; calculation times are typically less than 25% of the physical time in environmental geometries.

AB - This contribution concerns a specific simulation method for coastal wave engineering applications. As is common to reduce computational costs the flow is assumed to be irrotational so that a Boussinesq-type of model in horizontal variables only can be used. Here we advocate the use of such a model that respects the Hamiltonian structure of the wave equations. To avoid approximations of the dispersion relation by an algebraic relation that is needed for finite element/difference methods, we propose a spatial-spectral implementation which can model dispersion exactly for all wave lengths. Results with a relatively simple spatial-spectral implementation of the advanced theoretical model will be compared to experiments for harmonic waves and irregular waves over a submerged trapezoidal bar and bichromatic wave breaking above a flat bottom; calculation times are typically less than 25% of the physical time in environmental geometries.

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Kurnia R, van Groesen EWC. Spatial-Spectral Hamiltonian Boussinesq Wave Simulations. In Krishnankutty P, editor, Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014). India: Indian Institute of Technology Madras. 2014. p. 19-24. (Advances in Computational and Experimental Marine Hydrodynamics).