Space-time discontinuous Galerkin method for large amplitude nonlinear water waves

Yan Xu; Jaap J.W. Van Der Vegt

doi:10.1007/978-3-540-92779-2_5

Space-time discontinuous Galerkin method for large amplitude nonlinear water waves

Yan Xu, Jaap J.W. Van Der Vegt

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

A space-time discontinuous Galerkin (DG) finite element method for nonlinear water waves in an inviscid and incompressible fluid is presented. The space-time DG method results in a conservative numerical discretization on time dependent deforming meshes which follow the free surface evolution. The dispersion and dissipation errors of the scheme are investigated and the algorithm is demonstrated with the simulation of waves generated by a wave maker.

Original language	English
Title of host publication	Computational Fluid Dynamics 2006
Subtitle of host publication	Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006
Editors	Herman Deconinck, E. Dick
Pages	53-58
Number of pages	6
ISBN (Electronic)	978-3-540-92779-2
DOIs	https://doi.org/10.1007/978-3-540-92779-2_5
Publication status	Published - 10 May 2009
Event	4th International Conference on Computational Fluid Dynamics, ICCFD 2006 - Ghent, Belgium Duration: 10 Jul 2006 → 14 Jul 2006 Conference number: 4

Conference

Conference	4th International Conference on Computational Fluid Dynamics, ICCFD 2006
Abbreviated title	ICCFD 2006
Country/Territory	Belgium
City	Ghent
Period	10/07/06 → 14/07/06

Keywords

Nonlinear water waves
Space-time discontinuous Galerkin method

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10.1007/978-3-540-92779-2_5

Cite this

Xu, Y., & Van Der Vegt, J. J. W. (2009). Space-time discontinuous Galerkin method for large amplitude nonlinear water waves. In H. Deconinck, & E. Dick (Eds.), Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006 (pp. 53-58) https://doi.org/10.1007/978-3-540-92779-2_5

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title = "Space-time discontinuous Galerkin method for large amplitude nonlinear water waves",

abstract = "A space-time discontinuous Galerkin (DG) finite element method for nonlinear water waves in an inviscid and incompressible fluid is presented. The space-time DG method results in a conservative numerical discretization on time dependent deforming meshes which follow the free surface evolution. The dispersion and dissipation errors of the scheme are investigated and the algorithm is demonstrated with the simulation of waves generated by a wave maker.",

keywords = "Nonlinear water waves, Space-time discontinuous Galerkin method",

author = "Yan Xu and {Van Der Vegt}, {Jaap J.W.}",

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Xu, Y & Van Der Vegt, JJW 2009, Space-time discontinuous Galerkin method for large amplitude nonlinear water waves. in H Deconinck & E Dick (eds), Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006. pp. 53-58, 4th International Conference on Computational Fluid Dynamics, ICCFD 2006, Ghent, Belgium, 10/07/06. https://doi.org/10.1007/978-3-540-92779-2_5

Space-time discontinuous Galerkin method for large amplitude nonlinear water waves. / Xu, Yan; Van Der Vegt, Jaap J.W.
Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006. ed. / Herman Deconinck; E. Dick. 2009. p. 53-58.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - A space-time discontinuous Galerkin (DG) finite element method for nonlinear water waves in an inviscid and incompressible fluid is presented. The space-time DG method results in a conservative numerical discretization on time dependent deforming meshes which follow the free surface evolution. The dispersion and dissipation errors of the scheme are investigated and the algorithm is demonstrated with the simulation of waves generated by a wave maker.

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Space-time discontinuous Galerkin method for large amplitude nonlinear water waves

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