Integral formulation of shallow-water equations with anisotropic porosity for urban flood modeling

By B. Sanders, Jochen Schubert, H. A. Gallegos. 2008

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A simple and efficient unstructured finite volume scheme for solving the shallow water equations in overland flow applications (2015, methodology): “…have been applied to the equations written as in (1) [Begnudelli et al., 2008; Berthon et al., 2011; Canestrelli et al., 2009; Cea and V azquez-Cend on, 2012; Chertock et al., 2010; LeVeque, 2002; Liang, 2010; Martinez-Gavara and Donat, 2011; Sanders et al., 2008; Toro, 2001; Wang et al., 2011].”
Building treatments for urban flood inundation models and implications for predictive skill and modeling efficiency (2012, methodology): “Buildingporosity models have achieved an order of magnitude speedup compared to building resolving models when applied to physical model experiments of flow past block-like obstructions [18,40,45].”
Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity (2016, methodology): “In Nepf, 1999, Sanders et al., 2008, it is suggested that the value of a should be estimated in a predictor step and then updated in a corrector step based on the flow values of the predictor step.”