### Abstract

The undertow effect on coastal morphological modeling is studied. A fully nonlinear Boussinesq equation including horizontal vorticity produced by bottom shear stress is used for the prediction of flows. A depth-integrated sediment transport equation is coupled with the Boussinesq equation for the prediction of sediment transport. To solve these equations numerically, a fourth-order accurate finite volume method on the basis of a compact MUSCL TVD scheme is used, and the numerical fluxes are computed by the HLLC approximate Riemann solver. The coastal geomorphology model with and without horizontal vorticity effects is applied to surf zone, and the computed flow velocities are compared to measured data. When the vorticity effects are included the undertow flow profile shows closer agreement with measured data quantitatively and qualitatively. Lastly, an offshore bar migration by monochromatic wave is simulated and the contributions of the undertow effects are investigated.

Original language | English |
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Title of host publication | Proceedings of the 25th International Ocean and Polar Engineering Conference, ISOPE 2015 |

Publisher | International Society of Offshore and Polar Engineers |

Pages | 1259-1263 |

Number of pages | 5 |

ISBN (Electronic) | 9781880653890 |

Publication status | Published - 2015 Jan 1 |

Externally published | Yes |

Event | 25th International Ocean and Polar Engineering Conference, ISOPE 2015 - Kona, Big Island, United States Duration: 2015 Jun 21 → 2015 Jun 26 |

### Publication series

Name | Proceedings of the International Offshore and Polar Engineering Conference |
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Volume | 2015-January |

ISSN (Print) | 1098-6189 |

ISSN (Electronic) | 1555-1792 |

### Other

Other | 25th International Ocean and Polar Engineering Conference, ISOPE 2015 |
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Country | United States |

City | Kona, Big Island |

Period | 15/6/21 → 15/6/26 |

### Fingerprint

### Keywords

- Beach erosion
- Boussinesq equation
- Numerical model
- Sediment transport
- Undertow

### ASJC Scopus subject areas

- Energy Engineering and Power Technology
- Ocean Engineering
- Mechanical Engineering

### Cite this

*Proceedings of the 25th International Ocean and Polar Engineering Conference, ISOPE 2015*(pp. 1259-1263). (Proceedings of the International Offshore and Polar Engineering Conference; Vol. 2015-January). International Society of Offshore and Polar Engineers.

**Coastal geomorphology model using boussonesq equation considering undertow effect.** / Kim, Dae Hong; Son, Sang Young.

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

*Proceedings of the 25th International Ocean and Polar Engineering Conference, ISOPE 2015.*Proceedings of the International Offshore and Polar Engineering Conference, vol. 2015-January, International Society of Offshore and Polar Engineers, pp. 1259-1263, 25th International Ocean and Polar Engineering Conference, ISOPE 2015, Kona, Big Island, United States, 15/6/21.

}

TY - GEN

T1 - Coastal geomorphology model using boussonesq equation considering undertow effect

AU - Kim, Dae Hong

AU - Son, Sang Young

PY - 2015/1/1

Y1 - 2015/1/1

N2 - The undertow effect on coastal morphological modeling is studied. A fully nonlinear Boussinesq equation including horizontal vorticity produced by bottom shear stress is used for the prediction of flows. A depth-integrated sediment transport equation is coupled with the Boussinesq equation for the prediction of sediment transport. To solve these equations numerically, a fourth-order accurate finite volume method on the basis of a compact MUSCL TVD scheme is used, and the numerical fluxes are computed by the HLLC approximate Riemann solver. The coastal geomorphology model with and without horizontal vorticity effects is applied to surf zone, and the computed flow velocities are compared to measured data. When the vorticity effects are included the undertow flow profile shows closer agreement with measured data quantitatively and qualitatively. Lastly, an offshore bar migration by monochromatic wave is simulated and the contributions of the undertow effects are investigated.

AB - The undertow effect on coastal morphological modeling is studied. A fully nonlinear Boussinesq equation including horizontal vorticity produced by bottom shear stress is used for the prediction of flows. A depth-integrated sediment transport equation is coupled with the Boussinesq equation for the prediction of sediment transport. To solve these equations numerically, a fourth-order accurate finite volume method on the basis of a compact MUSCL TVD scheme is used, and the numerical fluxes are computed by the HLLC approximate Riemann solver. The coastal geomorphology model with and without horizontal vorticity effects is applied to surf zone, and the computed flow velocities are compared to measured data. When the vorticity effects are included the undertow flow profile shows closer agreement with measured data quantitatively and qualitatively. Lastly, an offshore bar migration by monochromatic wave is simulated and the contributions of the undertow effects are investigated.

KW - Beach erosion

KW - Boussinesq equation

KW - Numerical model

KW - Sediment transport

KW - Undertow

UR - http://www.scopus.com/inward/record.url?scp=84944684001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84944684001&partnerID=8YFLogxK

M3 - Conference contribution

T3 - Proceedings of the International Offshore and Polar Engineering Conference

SP - 1259

EP - 1263

BT - Proceedings of the 25th International Ocean and Polar Engineering Conference, ISOPE 2015

PB - International Society of Offshore and Polar Engineers

ER -