Citation

Liang Q. J. Hydraul. Eng. 2010; 136(9): 669-675.

Copyright

(Copyright © 2010, American Society of Civil Engineers)

DOI

10.1061/(ASCE)HY.1943-7900.0000219

PMID

unavailable

Abstract

This work extends and improves a one-dimensional shallow flow model to two-dimensional (2D) for real-world flood simulations. The model solves a prebalanced formulation of the fully 2D shallow water equations, including friction source terms using a finite volume Godunov-type numerical scheme. A reconstruction method ensuring nonnegative depth is used along with a Harten, Lax, and van Leer approximate Riemann solver with the contact wave restored for calculation of interface fluxes. A local bed modification method is proposed to maintain the well-balanced property of the algorithm for simulations involving wetting and drying. Second-order accurate scheme is achieved by using the slope limited linear reconstruction together with a Runge-Kutta time integration method. The model is applicable to calculate different types of flood wave ranging from slow-varying inundations to extreme and violent floods, propagating over complex domains including natural terrains and dense urban areas. After validating against an analytical case of flow sloshing in a domain with a parabolic bed profile, the model is applied to simulate an inundation event in a 36 km2 floodplain in Thamesmead near London. The numerical predictions are compared with analytical solutions and alternative numerical results. 2010 ASCE.