This paper presents the decoupled hydrological discretization (DHD) scheme for solving the
shallow water equations in hydrological applications involving surface runoff in rural and …

The Simulation EnviRonment for Geomorphology, Hydrodynamics, and Ecohydrology in
Integrated form (SERGHEI) is a multi-dimensional, multi-domain, and multi-physics model …

Numerical models solving the full 2‐D shallow water equations (SWEs) have been
increasingly used to simulate overland flows and better understand the transient flow …

Abstract LISFLOOD-FP 8.0 includes second-order discontinuous Galerkin (DG2) and first-
order finite-volume (FV1) solvers of the two-dimensional shallow-water equations for …

Within the framework of the Godunov-type cell-centered finite volume (CCFV) scheme, this
paper proposes a 2D well-balanced shallow water model for unstructured grids. In this …

We consider in this work the discontinuous Galerkin discretization of the nonlinear shallow
water equations on unstructured triangulations. In the recent years, several improvements …

The aim of this paper is to present a novel monotone upstream scheme for conservation law
(MUSCL) on unstructured grids. The novel edge-based MUSCL scheme is devised to …

The effect of mesh type on the accuracy and computational demands of a two-dimensional
Godunov-type flood inundation model is critically examined. Cartesian grids, constrained …

To simulate complex flows involving wet-dry fronts in irregular terrains over arbitrary beds,
this paper presents a 2D well-balanced shallow water flow model, based on an unstructured …

Floods are the most destructive natural phenomenon, by the total number of casualties, and
value of property damage, compared to any other type of natural disaster. However, some of …