### 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 language | English (US) |
---|---|

Title of host publication | Proceedings of the International Offshore and Polar Engineering Conference |

Pages | 1670-1677 |

Number of pages | 8 |

State | Published - 2003 |

Externally published | Yes |

Event | Proceedings of the Thirteenth (2003) International Offshore and Polar Engineering Conference - Honolulu, HI, United States Duration: May 25 2002 → May 30 2003 |

### Other

Other | Proceedings of the Thirteenth (2003) International Offshore and Polar Engineering Conference |
---|---|

Country | United States |

City | Honolulu, HI |

Period | 5/25/02 → 5/30/03 |

### Fingerprint

### 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

*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.

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

*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.

}

TY - GEN

T1 - Wave Interaction with a Sea Dike Using a VOF Finite-Volume Method

AU - Troch, Peter A

AU - Li, Tingqiu

AU - De Rouck, Julien

AU - Ingram, David

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

KW - A cut-cell Cartesian mesh

KW - An implicit cell-staggered VOF finite volume solver

KW - Breaking waves

KW - Wave-structure interaction in a viscous flow

UR - http://www.scopus.com/inward/record.url?scp=0942288307&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0942288307&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0942288307

SP - 1670

EP - 1677

BT - Proceedings of the International Offshore and Polar Engineering Conference

ER -