P. D. Bates, Development and testing of a subgrid-scale model for moving-boundary hydrodynamic problems in shallow water, Hydrological Processes, vol.14, pp.2073-2098, 2000.

F. Benkhaldoun, I. Elmahi, A. Moumna, and M. Seaid, A non-homogeneous Riemann solver for shallow water equations in porous media, Applicable Analysis, vol.95, pp.2181-2202, 2016.

A. Bermudez and M. E. Vazquez, Upwind methods for hyperbolic conservation laws with source terms, Computers & Fluids, vol.8, pp.1049-1071, 1994.

G. Bernardini, M. Postacchini, E. Quagliarini, M. Brocchini, C. Cianca et al., A preliminary combined simulation tool for the risk assessment of pedestrians' ood-induced evacuation, Environmental Modelling & Software, vol.96, pp.14-29, 2017.

O. Boutron, O. Bertrand, A. Fiandrino, P. Höhener, A. Sandoz et al., An unstructured numerical model to study wind-driven circulation patterns in a managed coastal mediterranean wetland: the Vaccarès lagoon system, vol.7, pp.5986-6016, 2015.

M. Bruwier, P. Archambeau, S. Erpicum, M. Pirotton, and B. Dewals, Shallow-water models with anisotropic porosity and merging for ood modelling on Cartesian grids, Journal of Hydrology, vol.554, pp.693-709, 2017.

A. Candela, L. V. Noto, and G. Aronica, Inuence of surface roughness in hydrological response of semiarid catchments, Journal of Hydrology, vol.313, pp.119-131, 2005.

L. Cea and M. E. Vazquez-cendon, Unstructured nite volume discretization of two-dimensional depth-averaged shallow water equations with porosity, Int J Numer Methods Fluids, vol.63, p.90330, 2010.

J. A. Chapman, B. N. Wilson, and J. S. Gulliver, Drag force parameters of rigid and exible vegetal elements, Water Resources Research, vol.51, pp.3292-3302, 2015.

A. S. Chen, B. Evans, S. Djordjevic, and D. Savic, A coarse-grid approach to representing building blockage eects in 2D urban ood modelling, Journal of Hydrology, vol.426, pp.1-16, 2012.

A. Chen, B. Evans, S. Djordjevic, and D. A. Savic, Multi-layer coarse-grid modelling in 2D urban ood simulations, J. Hydrol, vol.470, p.111, 2012.

S. F. Davis, Simplied Second-order Godunov-type methods, SIAM Journal of Scientic and Statistical Computing, vol.9, pp.445-473, 1988.

A. Dena, Two-dimensional shallow ow equations for partially dry areas, Water Resour Res, vol.36, p.325164, 2000.

A. Dena and A. C. Bixio, Mean ow and turbulence in vegetated open channel ow, Water Resources Research, vol.41, p.7006, 2005.

A. Ferrari, R. Vacondio, S. Dazzi, and P. Mignosa, A 1D-2D shallow water equation solver for discontinuous porosity eld based on a Generalized Riemann problem, Advances in Water Resources, vol.107, pp.233-249, 2017.

C. Ferrarin and G. Umgiesser, Hydrodynamic modeling of a coastal lagoon: the Cabras lagoon in Sardinia, Italy. Ecological Modelling, vol.188, pp.340-357, 2005.

P. Finaud-guyot, C. Delenne, J. Lhomme, V. Guinot, and C. Llovel, An approximate-state Riemann solver for the two-dimensional shallow water equations with porosity, International Journal for Numerical Methods in Fluids, vol.62, p.12991331, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00515884

I. Fraga, L. Cea, and J. Puertas, Experimental study of the water depth and rainfall intensity eects on the bed roughness coecient used in distributed urban drainage models, Journal of Hydrology, vol.505, pp.266-275, 2013.

S. K. Godunov, A dierence method for numerical calculation of discontinuous equations of hydrodynamics, Matematicheski Sbornik, vol.47, pp.271-300, 1959.

V. Guinot, Wave propagation in uids. Models and numerical techniques, 2010.

V. Guinot, Multiple porosity shallow water models for macroscopic modelling of urban oods, Advances in Water Resources, vol.37, pp.40-72, 2012.

V. Guinot, Consistency and bicharacteristic analysis of integral shallow water models with porosity. Explaining model oversensitivity to mesh design, Advances in Water Resources, vol.107, pp.34-55, 2017.

V. Guinot, A critical assessment of ux and source term closures in shallow water models with porosity for urban ood simulations, Advances in Water Resources, vol.109, pp.133-157, 2017.

V. Guinot, B. F. Sanders, and J. Schubert, Dual integral porosity shallow water model for urban ood modelling, Advances in Water Resources, vol.103, pp.31-54, 2017.
DOI : 10.1016/j.advwatres.2017.02.009

URL : https://hal.archives-ouvertes.fr/hal-01465071/file/IntegrPorosDual_170210.pdf

V. Guinot and S. Soares-frazão, Flux and source term discretization in shallow water models with porosity on unstructured grids, Int J Numer Methods Fluids, vol.50, p.30945, 2006.

A. Harten, P. D. Lax, and B. Van-leer, On upstream dierencing and Godunov type methods for hyperbolic conservation laws, SIAM review, vol.25, issue.1, pp.35-61, 1983.

D. M. Katz, F. J. Watts, and E. R. Burroughs, Eect of surface roughness and rainfall impact on overland ow, Journal of Hydraulic Engineering, vol.121, pp.546-553, 1995.

D. H. Kim, P. J. Lynett, and S. A. Socolofsky, A depth-integrated model for weakly dispersive, turbulent, and rotational uid ows. Ocean Modelling, vol.27, pp.198-214, 2009.

B. Kim, B. F. Sanders, J. S. Famiglietti, and V. Guinot, Urban ood modeling with porous shallow-water equations: A case study of model errors in the presence of anisotropic porosity, Journal of Hydrology, vol.523, pp.680-692, 2015.

N. Kouwen, T. E. Unny, and H. M. Hill, Flow retardance in vegetated channels, Journal of the Irrigation and Drainage Division, vol.95, pp.329-342, 1969.

D. S. Lawrence, Macroscale surface roughness and frictional resistance in overland ow, Earth Surface Processes and Landforms, vol.22, pp.365-382, 1997.

D. Liang, R. A. Falconer, and B. Lin, Coupling surface and subsurface ows in a depth averaged ood wave model, J Hydrol, vol.337, 2007.

H. M. Nepf, Drag, turbulence, and diusion in ow through emergent vegetation, Water Resources Research, vol.35, pp.479-489, 1999.

I. Özgen, D. Liang, and R. Hinkelmann, Shallow water equations with depth-dependent anisotropic porosity for subgrid-scale topography, Applied Mathematical Modelling, vol.40, pp.7447-7473, 2016.

I. Özgen, D. Liang, and R. Hinkelmann, Urban ood modeling using shallow water equations with depth-dependent anisotropic porosity, J. Hydrol, vol.541, p.11651184, 2016.

I. Özgen, K. Teuber, F. Simons, D. Liang, and R. Hinkelmann, Upscaling the shallow water model with a novel roughness formulation, Environmental Earth Sciences, vol.74, pp.7371-7386, 2015.

H. Park, D. T. Cox, P. J. Lynett, D. M. Wiebe, and S. Shin, Tsunami inundation modeling in constructed environments: A physical and numerical comparison of free-surface elevation, velocity, and momentum ux, Coastal Engineering, vol.79, pp.9-21, 2013.

B. F. Sanders, J. E. Schubert, and H. A. Gallegos, Integral formulation of shallow water equations with anisotropic porosity for urban ood modelling, J Hydrol, vol.362, 1938.

J. E. Schubert and B. F. Sanders, Building treatments for urban ood inundation models and implications for predictive skill and modeling eciency, Adv. Water Resour, vol.41, p.4964, 2012.

F. Siniscalchi, V. I. Nikora, and J. Aberle, Plant patch hydrodynamics in streams: mean ow, turbulence, and drag forces, Water Resources Research, vol.48, p.1513, 2012.

S. Soares-frazão and V. Guinot, An eigenvector-based linear reconstruction scheme for the shallow water equations on two-dimensional unstructured meshes, International Journal for Numerical Methods in Fluids, vol.53, p.2355, 2007.

S. Soares-frazão, J. Lhomme, V. Guinot, and Y. Zech, Twodimensional shallow water models with porosity for urban ood modelling, Journal of Hydraulic Research, vol.46, issue.1, pp.45-64, 2008.

G. Strang, On the construction and comparison of dierence schemes, SIAM Journal of Numerical Analysis, vol.5, pp.506-517, 1968.

G. Tayfur, M. L. Kawas, R. S. Govindaraju, and D. E. Storm, Applicability of St. Venant equations for two-dimensional overland ow over rough inltrating surfaces, Journal of Hydraulic Engineering, vol.119, pp.51-63, 1993.

E. F. Toro, Riemann solvers and numerical methods for uid dynamics, 1997.

E. F. Toro, M. Spruce, and W. Speares, Restoration of the contact surface in the HLL-Riemann solver, Shock Waves, vol.4, pp.25-34, 1994.

M. Velickovic, Y. Zech, and S. Soares-frazão, Steady-ow experiments in urban areas and anisotropic porosity model, Journal of Hydraulic Research, vol.55, pp.85-100, 2017.
DOI : 10.1080/00221686.2016.1238013

D. P. Viero and M. Valipour, Modeling anisotropy in free-surface overland and shallow inundation ows, Advances in Water Resources, vol.104, pp.1-14, 2017.

N. D. Volp, B. C. Van-prooijen, and G. S. Stelling, A nite volume approach for shallow water ow accounting for high-resolution bathymetry and roughness data, Water Resources Research, vol.49, pp.4126-4135, 2013.
DOI : 10.1002/wrcr.20324

URL : https://repository.tudelft.nl/islandora/object/uuid%3Aeea38287-fc46-4daa-98bd-088bac2bbed6/datastream/OBJ/download

C. A. Wilson and M. S. Horritt, Measuring the ow resistance of submerged grass, Hydrological Processes, vol.16, pp.2589-2598, 2002.