### Abstract

A two-dimensional numerical model is developed to simulate turbulent shallow-water flow. The model is based on two-dimensional depth-averaged Navier-Stokes equations. A second-order Godunov-type upwind finite volume scheme with augmented HLLC Riemann solver is implemented. The conservative variables near the edges of cells are linearly reconstructed by the MUSCL scheme. The reconstructions are based on the primitive variables. The time marching scheme is a second-order TVD Runge-Kutta scheme, which can prevent the occurrence of oscillation in every intermediate stage. The model uses first-order approximations for the wet-dry fronts and boundaries, which make the solution as robust as possible. An additional flux is calculated to keep the scheme well balanced. To provide body-fitted mesh, the Cartesian cut-cell method is adopted. The κ - ε turbulence model is implemented as the turbulence model closure. The model is tested against several laboratory experiments and field measurements. In all test cases, the simulated results agree well with the observations.

Original language | English (US) |
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Title of host publication | World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress |

Pages | 1619-1628 |

Number of pages | 10 |

State | Published - 2013 |

Event | World Environmental and Water Resources Congress 2013: Showcasing the Future - Cincinnati, OH, United States Duration: May 19 2013 → May 23 2013 |

### Other

Other | World Environmental and Water Resources Congress 2013: Showcasing the Future |
---|---|

Country | United States |

City | Cincinnati, OH |

Period | 5/19/13 → 5/23/13 |

### Fingerprint

### ASJC Scopus subject areas

- Water Science and Technology

### Cite this

*World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress*(pp. 1619-1628)

**A surface flow routing algorithm based on shallow water equation with kinematic wave approximation.** / Yu, Chunshui; Duan, Guohong.

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

*World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress.*pp. 1619-1628, World Environmental and Water Resources Congress 2013: Showcasing the Future, Cincinnati, OH, United States, 5/19/13.

}

TY - GEN

T1 - A surface flow routing algorithm based on shallow water equation with kinematic wave approximation

AU - Yu, Chunshui

AU - Duan, Guohong

PY - 2013

Y1 - 2013

N2 - A two-dimensional numerical model is developed to simulate turbulent shallow-water flow. The model is based on two-dimensional depth-averaged Navier-Stokes equations. A second-order Godunov-type upwind finite volume scheme with augmented HLLC Riemann solver is implemented. The conservative variables near the edges of cells are linearly reconstructed by the MUSCL scheme. The reconstructions are based on the primitive variables. The time marching scheme is a second-order TVD Runge-Kutta scheme, which can prevent the occurrence of oscillation in every intermediate stage. The model uses first-order approximations for the wet-dry fronts and boundaries, which make the solution as robust as possible. An additional flux is calculated to keep the scheme well balanced. To provide body-fitted mesh, the Cartesian cut-cell method is adopted. The κ - ε turbulence model is implemented as the turbulence model closure. The model is tested against several laboratory experiments and field measurements. In all test cases, the simulated results agree well with the observations.

AB - A two-dimensional numerical model is developed to simulate turbulent shallow-water flow. The model is based on two-dimensional depth-averaged Navier-Stokes equations. A second-order Godunov-type upwind finite volume scheme with augmented HLLC Riemann solver is implemented. The conservative variables near the edges of cells are linearly reconstructed by the MUSCL scheme. The reconstructions are based on the primitive variables. The time marching scheme is a second-order TVD Runge-Kutta scheme, which can prevent the occurrence of oscillation in every intermediate stage. The model uses first-order approximations for the wet-dry fronts and boundaries, which make the solution as robust as possible. An additional flux is calculated to keep the scheme well balanced. To provide body-fitted mesh, the Cartesian cut-cell method is adopted. The κ - ε turbulence model is implemented as the turbulence model closure. The model is tested against several laboratory experiments and field measurements. In all test cases, the simulated results agree well with the observations.

UR - http://www.scopus.com/inward/record.url?scp=84887501122&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887501122&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887501122

SN - 9780784412947

SP - 1619

EP - 1628

BT - World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress

ER -