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

Chunshui Yu, Guohong Duan

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

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 languageEnglish (US)
Title of host publicationWorld Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress
Pages1619-1628
Number of pages10
StatePublished - 2013
EventWorld Environmental and Water Resources Congress 2013: Showcasing the Future - Cincinnati, OH, United States
Duration: May 19 2013May 23 2013

Other

OtherWorld Environmental and Water Resources Congress 2013: Showcasing the Future
CountryUnited States
CityCincinnati, OH
Period5/19/135/23/13

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shallow-water equation
routing
kinematics
turbulence
Navier-Stokes equations
water flow
shallow water
oscillation

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

Yu, C., & Duan, G. (2013). A surface flow routing algorithm based on shallow water equation with kinematic wave approximation. In 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.

World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress. 2013. p. 1619-1628.

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

Yu, C & Duan, G 2013, A surface flow routing algorithm based on shallow water equation with kinematic wave approximation. in 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.
Yu C, Duan G. A surface flow routing algorithm based on shallow water equation with kinematic wave approximation. In World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress. 2013. p. 1619-1628
Yu, Chunshui ; Duan, Guohong. / A surface flow routing algorithm based on shallow water equation with kinematic wave approximation. World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress. 2013. pp. 1619-1628
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