An implicit discontinuous Galerkin finite element model for water waves

J.J.W. van der Vegt; V.R. Ambati; Onno Bokhove

An implicit discontinuous Galerkin finite element model for water waves

J.J.W. van der Vegt
, V.R. Ambati
, Onno Bokhove

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

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Abstract

We discuss a new higher order accurate discontinuous Galerkin finite element method for non-linear free surface gravity waves. The algorithm is based on an arbitrary Lagrangian Eulerian description of the flow field using deforming elements and a moving mesh, which makes it possible to represent non-linear large amplitude waves. The novel feature of the algorithm is a coupled treatment of the free surface boundary condition and the domain discretization, which improves numerical stability.

Original language	English
Title of host publication	Proceedings International Conference on Mathematical and Numerical Aspects of Waves Propagation, WAVES 2005
Place of Publication	Providence, RI, USA
Publisher	Brown University
Number of pages	3
Publication status	Published - 20 Jun 2005
Event	7th International Conference on Mathematical and Numerical Aspects of Waves, WAVES 2005 - Brown University, Providence, United States Duration: 20 Jun 2005 → 24 Jun 2005 Conference number: 7

Conference

Conference	7th International Conference on Mathematical and Numerical Aspects of Waves, WAVES 2005
Abbreviated title	WAVES 2005
Country/Territory	United States
City	Providence
Period	20/06/05 → 24/06/05

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An implicit discontinuous Galerkin finite element model for water waves
van der Vegt, J. J. W., Ambati, V. R. & Bokhove, O., 2005. 1 p.
Research output: Contribution to conference › Poster › Other research output

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title = "An implicit discontinuous Galerkin finite element model for water waves",

abstract = "We discuss a new higher order accurate discontinuous Galerkin finite element method for non-linear free surface gravity waves. The algorithm is based on an arbitrary Lagrangian Eulerian description of the flow field using deforming elements and a moving mesh, which makes it possible to represent non-linear large amplitude waves. The novel feature of the algorithm is a coupled treatment of the free surface boundary condition and the domain discretization, which improves numerical stability.",

author = "\{van der Vegt\}, J.J.W. and V.R. Ambati and Onno Bokhove",

note = "We would like to acknowledge the collaboration with Dr. S.K. Tomar during the initial development of the DG algorithm. This research was partly funded by the Maritime Research Institute Netherlands (MARIN). ; 7th International Conference on Mathematical and Numerical Aspects of Waves, WAVES 2005, WAVES 2005 ; Conference date: 20-06-2005 Through 24-06-2005",

year = "2005",

month = jun,

day = "20",

language = "English",

booktitle = "Proceedings International Conference on Mathematical and Numerical Aspects of Waves Propagation, WAVES 2005",

publisher = "Brown University",

address = "United States",

}

van der Vegt, JJW, Ambati, VR & Bokhove, O 2005, An implicit discontinuous Galerkin finite element model for water waves. in Proceedings International Conference on Mathematical and Numerical Aspects of Waves Propagation, WAVES 2005. Brown University, Providence, RI, USA, 7th International Conference on Mathematical and Numerical Aspects of Waves, WAVES 2005, Providence, Rhode Island, United States, 20/06/05.

An implicit discontinuous Galerkin finite element model for water waves. / van der Vegt, J.J.W.; Ambati, V.R.; Bokhove, Onno.
Proceedings International Conference on Mathematical and Numerical Aspects of Waves Propagation, WAVES 2005. Providence, RI, USA: Brown University, 2005.

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

TY - GEN

T1 - An implicit discontinuous Galerkin finite element model for water waves

AU - van der Vegt, J.J.W.

AU - Ambati, V.R.

AU - Bokhove, Onno

N1 - Conference code: 7

PY - 2005/6/20

Y1 - 2005/6/20

N2 - We discuss a new higher order accurate discontinuous Galerkin finite element method for non-linear free surface gravity waves. The algorithm is based on an arbitrary Lagrangian Eulerian description of the flow field using deforming elements and a moving mesh, which makes it possible to represent non-linear large amplitude waves. The novel feature of the algorithm is a coupled treatment of the free surface boundary condition and the domain discretization, which improves numerical stability.

AB - We discuss a new higher order accurate discontinuous Galerkin finite element method for non-linear free surface gravity waves. The algorithm is based on an arbitrary Lagrangian Eulerian description of the flow field using deforming elements and a moving mesh, which makes it possible to represent non-linear large amplitude waves. The novel feature of the algorithm is a coupled treatment of the free surface boundary condition and the domain discretization, which improves numerical stability.

M3 - Conference contribution

BT - Proceedings International Conference on Mathematical and Numerical Aspects of Waves Propagation, WAVES 2005

PB - Brown University

CY - Providence, RI, USA

T2 - 7th International Conference on Mathematical and Numerical Aspects of Waves, WAVES 2005

Y2 - 20 June 2005 through 24 June 2005

ER -

An implicit discontinuous Galerkin finite element model for water waves

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An implicit discontinuous Galerkin finite element model for water waves

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