@article{ref1,
title="Flood simulation using a well-balanced shallow flow model",
journal="Journal of hydraulic engineering",
year="2010",
author="Liang, Qiuhua",
volume="136",
number="9",
pages="669-675",
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.<p />",
language="en",
issn="0733-9429",
doi="10.1061/(ASCE)HY.1943-7900.0000219",
url="http://dx.doi.org/10.1061/(ASCE)HY.1943-7900.0000219"
}