TY - GEN
T1 - A surface flow routing algorithm based on shallow water equation with kinematic wave approximation
AU - Yu, Chunshui
AU - Duan, Jennifer
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.
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U2 - 10.1061/9780784412947.159
DO - 10.1061/9780784412947.159
M3 - Conference contribution
AN - SCOPUS:84887501122
SN - 9780784412947
T3 - World Environmental and Water Resources Congress 2013: Showcasing the Future - Proceedings of the 2013 Congress
SP - 1619
EP - 1628
BT - World Environmental and Water Resources Congress 2013
PB - American Society of Civil Engineers (ASCE)
T2 - World Environmental and Water Resources Congress 2013: Showcasing the Future
Y2 - 19 May 2013 through 23 May 2013
ER -