The challenge of finding a compromise between computational time and level of accuracy and robustness has traditionally expanded the use simplified models rather than full two …
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 …
L Bernard-Jannin, D Brito, X Sun, E Jauch… - Advances in water …, 2016 - Elsevier
Exchanges between surface water (SW) and groundwater (GW) are of considerable importance to floodplain ecosystems and biogeochemical cycles. Flood events in particular …
In Gerhard et al.(2015a) a new class of adaptive Discontinuous Galerkin schemes has been introduced for shallow water equations, including the particular necessary properties, such …
River floods can be simulated with the 2D shallow water system of equations using finite volume methods, where the terrain is discretized in cells that form the computational mesh …
The Simulation Environment for Geomorphology, Hydrodynamics and Ecohydrology in Integrated form (SERGHEI) is a multi-dimensional, multi-domain and multi-physics model …
The shallow water equations (SWEs) can be used to model the spatio-temporal evolution of free surface flows. The numerical resolution of realistic problems based on the 2D SWEs by …
We provide an adaptive strategy for solving shallow water equations with dynamic grid adaptation including a sparse representation of the bottom topography. A challenge in …
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 …