Implicit finite volume simulation of 2D shallow water flows in flexible meshes

J Fernández-Pato, M Morales-Hernández… - Computer Methods in …, 2018 - Elsevier
In this work, an implicit method for solving 2D hyperbolic systems of equations is presented,
focusing on the application to the 2D shallow water equations. It is based on the first order …

A 2D finite volume simulation tool to enable the assessment of combined hydrological and morphodynamical processes in mountain catchments

J Fernández-Pato, S Martínez-Aranda… - Advances in Water …, 2020 - Elsevier
Nowadays, the great power of modern computers allows to develop computational models
able to deal with simulations of several coupled phenomena over detailed complex …

Finite volume models and efficient simulation tools (EST) for shallow flows

S Martínez-Aranda, J Fernández-Pato… - Advances in fluid …, 2022 - Springer
Shallow-type mathematical models are built in the context of free surface flows over the main
hypothesis that the flow layer depth is smaller than a relevant horizontal length scale. There …

[PDF][PDF] Analysis of the efficiency of an implicit upwind finite volume scheme for 2D shallow flow simulation on unstructured meshes

In this work, an implicit method for solving the 2D shallow water equations is presented. It is
based on the first order Roe's scheme, in the frame of finite volume methods. By following …