Wave Interaction with a Sea Dike Using a VOF Finite-Volume Method

Peter A Troch, Tingqiu Li, Julien De Rouck, David Ingram

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

This paper represents a solver for numerical simulation of breaking waves, developed at Ghent University using an implicit cell-staggered VOF finite volume approach. The mathematical model is based on unsteady incompressible Navier-Stokes (NS) equations with a free surface. A flux-difference splitting approach with the MUSCL type (or the ENO scheme) and a central-difference scheme are applied for evaluation of the inviscid and viscous fluxes, respectively. A projection method is involved for coupling of the pressure and the velocity. A free surface is tracked with the VOF method, in which the approximate dynamic boundary conditions are implemented. In addition, second- and fourth-order artificial damping terms are introduced to the velocity normal to the cell face. A Sommerfeld radiation condition is implemented at the open boundary to dissipate the energy of outgoing waves. More-over, cut-cell techniques are utilized for treatment of an arbitary geometry. The solver can capture many physical phenomena during the interaction of waves with a dike, when a wave run-up and overtopping over an impermeable sea dike are performed in a numerical wave tank.

Original languageEnglish (US)
Title of host publicationProceedings of the International Offshore and Polar Engineering Conference
Pages1670-1677
Number of pages8
StatePublished - 2003
Externally publishedYes
EventProceedings of the Thirteenth (2003) International Offshore and Polar Engineering Conference - Honolulu, HI, United States
Duration: May 25 2002May 30 2003

Other

OtherProceedings of the Thirteenth (2003) International Offshore and Polar Engineering Conference
CountryUnited States
CityHonolulu, HI
Period5/25/025/30/03

Fingerprint

Levees
Finite volume method
Fluxes
Navier Stokes equations
Damping
Boundary conditions
Mathematical models
Radiation
Geometry
Computer simulation

Keywords

  • A cut-cell Cartesian mesh
  • An implicit cell-staggered VOF finite volume solver
  • Breaking waves
  • Wave-structure interaction in a viscous flow

ASJC Scopus subject areas

  • Ocean Engineering

Cite this

Troch, P. A., Li, T., De Rouck, J., & Ingram, D. (2003). Wave Interaction with a Sea Dike Using a VOF Finite-Volume Method. In Proceedings of the International Offshore and Polar Engineering Conference (pp. 1670-1677)

Wave Interaction with a Sea Dike Using a VOF Finite-Volume Method. / Troch, Peter A; Li, Tingqiu; De Rouck, Julien; Ingram, David.

Proceedings of the International Offshore and Polar Engineering Conference. 2003. p. 1670-1677.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Troch, PA, Li, T, De Rouck, J & Ingram, D 2003, Wave Interaction with a Sea Dike Using a VOF Finite-Volume Method. in Proceedings of the International Offshore and Polar Engineering Conference. pp. 1670-1677, Proceedings of the Thirteenth (2003) International Offshore and Polar Engineering Conference, Honolulu, HI, United States, 5/25/02.
Troch PA, Li T, De Rouck J, Ingram D. Wave Interaction with a Sea Dike Using a VOF Finite-Volume Method. In Proceedings of the International Offshore and Polar Engineering Conference. 2003. p. 1670-1677
Troch, Peter A ; Li, Tingqiu ; De Rouck, Julien ; Ingram, David. / Wave Interaction with a Sea Dike Using a VOF Finite-Volume Method. Proceedings of the International Offshore and Polar Engineering Conference. 2003. pp. 1670-1677
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