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M. Guan, N.G. Wright and P.A. Sleigh A robust 2D shallow water model for solving flow over complex topography using homogenous flux method International Journal for Numerical Methods in Fluids 73

Version of Record online: 22 MAR 2013 | DOI: 10.1002/fld.3795

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We proposed a well-balanced 2D shallow water model to solve flow over complex topography. A Homogenous Flux Method was used to treat the bed slope term as a flux to be incorporated into the flux gradient to maintain the balance. The model was solved by the second-order total-variation-diminishing version of the weighted average flux/Harten-Lax-van Leer-Contract and tested by a series of benchmark cases. Finally, it was applied to a large-scale real-world flood over an irregular topography to demonstrate the technique's capability.

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