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A Shallow-water Model Exploration of Atmospheric Circulation on Sub-Neptunes: Effects of Radiative Forcing and Rotation Period
Ekaterina Landgren, Alice Nadeau, Nikole Lewis, Tiffany Kataria and Peter Hitchcock The Planetary Science Journal 4(6) 106 (2023) https://doi.org/10.3847/PSJ/acd551
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations
Numerical Simulations of a Dispersive Model Approximating Free-Surface Euler Equations
Cipriano Escalante Sánchez, Enrique D. Fernández-Nieto, Tomás Morales de Luna, Yohan Penel and Jacques Sainte-Marie Journal of Scientific Computing 89(3) (2021) https://doi.org/10.1007/s10915-021-01552-6
The Cauchy Problem for the Two Layer Viscous Shallow Water Equations
A new derivation of the shallow water equations in geographical coordinates and their application to the global barotropic ocean model (the DEBOT model)
Advances in Numerical Simulation in Physics and Engineering
Enrique D. Fernández-Nieto and Paul Vigneaux SEMA SIMAI Springer Series, Advances in Numerical Simulation in Physics and Engineering 3 51 (2014) https://doi.org/10.1007/978-3-319-02839-2_2
Parallelization of Shallow-water Equations with the Algorithmic Skeleton Library SkelGIS
A coupled surface/subsurface flow model accounting for air entrapment and air pressure counterflow
Jens-Olaf Delfs, Wenqing Wang, Thomas Kalbacher, Ashok Kumar Singh and Olaf Kolditz Environmental Earth Sciences 69(2) 395 (2013) https://doi.org/10.1007/s12665-013-2420-1
Coupling hydrogeological with surface runoff model in a Poltva case study in Western Ukraine
Jens-Olaf Delfs, Frank Blumensaat, Wenqing Wang, Peter Krebs and Olaf Kolditz Environmental Earth Sciences 65(5) 1439 (2012) https://doi.org/10.1007/s12665-011-1285-4
A Shallow Water model for the numerical simulation of overland flow on surfaces with ridges and furrows
Thermo-Hydro-Mechanical-Chemical Processes in Porous Media
Jens-Olaf Delfs, Martin Beinhorn and Yajie Wu Lecture Notes in Computational Science and Engineering, Thermo-Hydro-Mechanical-Chemical Processes in Porous Media 86 143 (2012) https://doi.org/10.1007/978-3-642-27177-9_7
Anisotropic mesh adaptation driven by a recovery‐based error estimator for shallow water flow modeling
G. M. Porta, S. Perotto and F. Ballio International Journal for Numerical Methods in Fluids 70(3) 269 (2012) https://doi.org/10.1002/fld.2688
An Uzawa iterative scheme for the simulation of floating bodies
ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS
ASTRID DECOENE, LUCA BONAVENTURA, EDIE MIGLIO and FAUSTO SALERI Mathematical Models and Methods in Applied Sciences 19(03) 387 (2009) https://doi.org/10.1142/S0218202509003474
Existence of a global weak solution for a 2D viscous bi-layer Shallow Water model
Numerical simulations of 3D free surface flows by a multilayer Saint‐Venant model
E. Audusse, M. O. Bristeau and A. Decoene International Journal for Numerical Methods in Fluids 56(3) 331 (2008) https://doi.org/10.1002/fld.1534
Finite-Volume Solvers for a Multilayer Saint-Venant System
Emmanuel Audusse and Marie-Odile Bristeau International Journal of Applied Mathematics and Computer Science 17(3) 311 (2007) https://doi.org/10.2478/v10006-007-0025-0
Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects