Implicit 2D surface flow models performance assessment: Shallow Water Equations vs. Zero-Inertia Model

Javier Fernández-Pato; Mario Morales-Hernández; Pilar García-Navarro

doi:10.1051/e3sconf/20184005008

All issues

Volume 40 (2018)

E3S Web Conf., 40 (2018) 05008

References

Open Access

Issue		E3S Web Conf. Volume 40, 2018 River Flow 2018 - Ninth International Conference on Fluvial Hydraulics


Article Number		05008
Number of page(s)		8
Section		Fluid mechanics and sediment processes
DOI		https://doi.org/10.1051/e3sconf/20184005008
Published online		05 September 2018

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van der Vorst, H.A., BI-CGSTAB - A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear-systems, SIAM Journal of Scientific and Statistical Computing 13(2), 631-644 (1992). [CrossRef] [MathSciNet] [Google Scholar]
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[1] Burguete, J. García-Navarro, P., Implicit schemes with large time step for non-linear equations: application to river flow hydraulics, International Journal for Numerical Meth- ods in Fluids 46, 607-636 (2004). [CrossRef] [Google Scholar]

[2] Cea, L., Garrido, J. and Puertas, J., Experimental validation of two-dimensional depth- averaged models for forecasting rainfall-runoff from precipitation data in urban areas, Journal of Hydrology, 382, 88-102 (2010). [CrossRef] [Google Scholar]

[3] Fernández-Pato, J. and García-Navarro, P., 2D zero-inertia model for solution of overland flow problems in flexible meshes, Journal of Hydrologic Engineering, p. 4016038 (2016). [CrossRef] [Google Scholar]

[4] Fernández-Pato, J. and García-Navarro, P., Simulación numérica de inundación de valles fluviales mediante un modelo difusivo implícito, Ingeniería del Agua 20(3), 115-126 (2016). [CrossRef] [Google Scholar]

[5] Fernández-Pato, J., Morales-Hernández, M. and García-Navarro, P., Implicit finite vol- ume simulation of 2D shallow water flows in flexible meshes, Computer Methods in Ap- plied Mechanics and Engineering 328, 1-25 (2018). [CrossRef] [Google Scholar]

[6] López-Barrera, D., García-Navarro, P., Brufau, P. and Burguete, J. Diffusive-wave based hydrologic-hydraulic model with sediment transport I: model development, Journal of Hy- drologic Engineering 17, 1093-1104 (2012). [CrossRef] [Google Scholar]

[7] Murillo, J. and García-Navarro, P., Weak solutions for partial differential equations with source terms: application to the shallow water equations, Journal of Computational Physics 229(11), 4327-4368 (2010). [CrossRef] [Google Scholar]

[8] Néelz, S. and Pender, G., Benchmarking of 2D hydraulic modelling packages, UK Envi- ronmental Agency (2013). [Google Scholar]

[9] Ponce, V.M., Diffusion wave modeling of catchment dynamics, Journal of Hydraulic En- gineering 112, 716-727 (1986). [CrossRef] [Google Scholar]

[10] Saad, Y., ILUT: A dual threshold incomplete LU factorization, Numerical Linear Alge- bra with Applications 1(4), 387-402 (1994). [CrossRef] [Google Scholar]

[11] van der Vorst, H.A., BI-CGSTAB - A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear-systems, SIAM Journal of Scientific and Statistical Computing 13(2), 631-644 (1992). [CrossRef] [MathSciNet] [Google Scholar]

[12] Vreugdenhil, C.B., Numerical Methods for Shallow Water Flow (Kluwer Academic Publishers, Dordrecht (The Netherlands), 1994). [CrossRef] [Google Scholar]