References

Alonso, Santillana and Dawson. 2008. On the diffusive wave approximation of the shallow water equations. Euro. J. Appl. Math. 2008, Vol. 19.

Balzano. 1998. Evaluation of methods for numerical simulation of wetting and drying in shallow water flow models. Coastal Eng. 1998, 34.

Casulli. 2008. A high-resolution wetting and drying algorithm for free-surface hydrodynamics. Int. J. Numer. Meth. Fluids. 2008.

Casulli and Cattani. 1994. Stability, accuracy and efficiency of a semi-implicit method for three-dimensional shallow water flow. Computers Math. Applic. 1994, Vol. 27.

Casulli and Cheng. 1992. Semi-implicit finite difference methods for three dimensional shallow water flow. Int. J. Numer. Meth. Fluids. 1992, Vol. 15.

Casulli and Cheng. 1990. Stability analysis of Eulerian-Lagrangian methods for the one-dimensional shallow water equations. Appl. Math. Modelling. 1990, Vol. 14.

Casulli and Stelling. 1998. Numerical simulation of 3D quasi-hydrostatic free-surface flows. J. Hydraulic Eng. 1998.

Casulli and Stelling. 2010. Semi-implicit subgrid modelling of three dimensional free-surface flows. Int. J. Numer. Meth. Fluids. 2010.

Casulli and Walters. 2000. An unstructured grid, three-dimensional model based on the shallow water equations. Int. J. Numer. Meth. Fluids. 2000, 32.

Casulli and Zanolli. 2005. High resolution methods for multidimensional advection-diffusion problems in free surface hydrodynamics. Ocean Modelling. 2005, 10.

Casulli and Zanolli. 2002. Semi-implicit numerical modelling of nonhydrostatic free-surface flows for environmental problems. Math. Comp. Modelling. 2002, 36.

Casulli. 1997. Numerical simulation of three-dimensional free surface flow in isopycnal co-ordinates. Int. J. Numer. Meth. Fluids. 1997, Vol. 25.

Casulli. 1990. Semi-implicit finite difference methods for the two-dimensional shallow water equations. J. Comp. Physics. 1990, 86.

Fischer, et al. 1979. Mixing in Inland and Coastal Waters. 1979.

Geospatial Data Abstraction Library (GDAL), 2014. GDAL: [http://www.gdal.org/|http://www.gdal.org/]

Green, W.H., and Ampt, G.A. 1911. Studies on soil physics, Journal of Agricultural Science, 4(1), 1–24.

Ham, Pietrzak and Stelling. 2006. A streamline tracking algorithm for semi-Lagrangian advection schemes based on the analytic integration of the velocity field. J. Comp. Appl. Math. 2006, 192.

HDF Group, 2014. Hierarchical Data Format (HDF). The HDF Group: [http://www.hdfgroup.org/HDF5/|http://www.hdfgroup.org/HDF5/]

Hromadka, et al. 2010. Manning's equation and two dimensional flow analogs. J. Hydrology. 2010, 389.

Hydrologic Engineering Center, 2021.  HEC-RAS User’s Manual, U.S. Army Corps of Engineers, Davis CA., April 2021.

Hydrologic Engineering Center, 2021.  HEC-RAS 2D Modeling User’s Manual, U.S. Army Corps of Engineers, Davis CA., April 2021.

Hydrologic Engineering Center, 2021.  HEC-RAS Mapper User’s Manual, U.S. Army Corps of Engineers, Davis CA., April 2021.

Hydrologic Engineering Center, 2021.  HEC-RAS Sediment Transport User’s Manual, U.S. Army Corps of Engineers, Davis CA., April 2021.

Hydrologic Engineering Center, 2021.  HEC-RAS 2D Sediment Transport User’s Manual, U.S. Army Corps of Engineers, Davis CA., April 2021.

Hydrologic Engineering Center, 2021.  HEC-RAS Water Quality User’s Manual, U.S. Army Corps of Engineers, Davis CA., April 2021.

Krol. 2009. Momentum exchange as a common physical background of a transparent and physically coherent description of transport phenomena. Turbulence, Heat and Mass Transfer. 2009, 6.

Lamb, Crossley and Waller. 2008. A fast two-dimensional floodplain inundation model. Water Management. 2008, 162.

Lang, G. 2012. FuE-Vorhaben UnTRIM SubGrid-Topografie Abschlussbericht. Report A39550370150 [In German].

Leer. 1979. Towards the ultimate conservative difference scheme. A second-order sequel to Godunov's method. J. Comp. Physics. 1979, 32.

Meyer, et al. 2002. Generalized barycentric coordinates on irregular polygons. Journal of Graphics Tools. 2002, Vol. 7.

Ogden, F.L., and Saghafian, B. 1997. Green and Ampt infiltration with redistribution. Journal of Irrigation and Drainage Engineering ASCE, 123(5), 386–393.

Pathirana, et al. 2008. A simple 2-D inundation model for incorporating flood damage in urban drainage planning. Hydrol. Earth Syst. Sci. Discuss. 2008, 5.

Russel, Takano and Abramopoulos. 1987. Comparison of horizontal difference schemes for the shallow water equations on a sphere. Short- and Medium-Range Numerical Weather Prediction. 1987.

Santillana and Dawson. 2010. A local discontinuous Galerkin method for a doubly nonlinear diffusion equation arising in shallow water modeling. Comp. Meth. Appl. Mech. Eng. 2010, 199.

Santillana and Dawson. 2009. A numerical approach to study the properties of solutions of the diffusive wave approximation of the shallow water equations. Comput. Geosci. 2009.

Schenk and Gärtner. 2006. On fast factorization pivoting methods for symmetric indefinite systems. Elec. Trans. Numer. Anal. 2006, 23.

Schenk and Gärtner. 2011. Parallel Sparse Direct and Multi-Recursive Iterative Linear Solvers: Pardiso User Guide Version 4.1.2. 2011.

Schenk and Gärtner. 2004. Solving unsymmetric sparse systems of linear equations with PARDISO. J. Future Generation Comp. Systems. 2004, 20(3).

Schenk, Bollhoefer and Roemer. 2008. On large-scale diagonalization techniques for the Anderson model of localization. SIAM Review. 2008, 50.

Schenk, Waechter and Hagermann. 2007. Matching-based preprocessing algorithms to the solution of saddle-point problems in large-scale nonconvex interior-point optimization. J. Comp. Optim. App. 2007, Vol. 36, 2-3. SCS 1985. National engineering handbook. Section 4-Hydrology. Washington, DC.

Sehili, A., L.G. Gunther, C. Lippert 2014. High-resolution subgrid models: background, grid generation, and implementation. Ocean Dynamics, Vol. 64, 519-535.

Skaggs, R.W. and Khaheel, R. 1982. Chapter 4: Infiltration. Hydrologic Modeling of Small Watersheds. Ed. by C.T. Haan, H. P. Johnson and D.L. Brakensiek, 139-149, St. Joseph, MI, ASCE. 121–168.

Smith, R.E., Corradini. C., and Melone, F. 1993. Modeling infiltration for multistorm run-off events. Water Resources Research 29(1), 133-144.

Tayefi, et al. 2007. A comparison of one- and two-dimensional approaches to modelling flood inundation over complex upland floodplains. Hydrol. Processes. 2007, 21.

Thacker. 1981. Some exact solutions to the non-linear shallow-water wave equations. J. Fluid Mech. 1981, Vol. 107.

USDA 1986.  United States Department of Agriculture, “Urban Hydrology for Small Watersheds”, TR-55, 1986.  USDA, Washington D.C.

USGS 2016.  United States Geological Survey, NLCD 2016 National Landcover.  Website: https://www.usgs.gov/media/images/nlcd-2016-land-cover

USGS 1976,  “A Land Use and Land Cover Classification for use with Remote Sensor Data”,  James R. Anderson, Ernest E. Hardy, John T. Roach, and Richard E. Witmer; Geological Survey Professional Paper 964. Fourth edition 1983.

Versteeg and Malalasekera. 2007. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. 2007.

Wang, Zhao and Fringer. 2011. Reconstruction of vector fields for semi-Lagrangian advection on unstructured, staggered grids. Ocean Modelling. 2011, 40.

Weil, R.R., and Brady, N.C. 2016. The Nature and Properties of Soils (15th ed.). Columbus, Ohio: Pearson. 221 p.

Yu and Lane. 2006. Urban fluvial flood modelling using a two-dimensional diffusion-wave treatment, part 1: mesh resolution effects. Hydrol. Processes. 2006, 20.

Yu and Lane. 2006. Urban fluvial flood modelling using a two-dimensional diffusion-wave treatment, part 2: development of a sub-grid-scale treatment. Hydrol. Processes. 2006, 20.