In the modelling of hydrodynamics, the Discontinuous Galerkin (DG) approach constitutes a
more complex and modern alternative to the well-established finite volume method. The …

The accuracy of the widely-used two-dimensional hydrodynamic numerical model depends
on the quality of the river terrain model, particularly in the main channel. However, in most …

In this study, we develop a shock-capturing numerical model for solving the three-
dimensional shallow-water equations with turbulence closure. Numerical discretization is …

Abstract Xia et al.(2017) proposed a novel, fully implicit method for the discretization of the
bed friction terms for solving the shallow‐water equations. The friction terms contain h− 7∕ …

This work extends a robust second-order Runge–Kutta Discontinuous Galerkin (RKDG2)
method to solve the fully nonlinear and weakly dispersive flows, within a scope to …

The aim of this article is to devise a novel second‐order monotone upstream scheme for
conservation law (MUSCL) scheme on unstructured quadrilateral meshes, for solving the …

For rapid flood risk mapping, a key aspect is transferring the results of flood simulations for
web visualization. The challenges here include:(1) large-scale and complicated …

Introduction: The shallow water equations are a set of hyperbolic balance laws that describe
the behavior of water flow in shallow regions such as rivers, lakes, and oceans. Solving …