This paper presents an integrated modeling framework aiming at accurate predictions of
flood hazard from heavy rainfalls. The accuracy of such predictions generally depends on …

The main aim of this paper is to develop a fast and efficient local meshless method for
solving shallow water equations in one-and two-dimensional cases. The mentioned …

The main aim of the current paper is to propose an efficient numerical procedure based on
the meshless method for solving some models of conservation laws. In the current …

Powerful numerical methods have to consider the presence of source terms of different
nature, that intensely compete among them and may lead to strong spatiotemporal …

One acceptable technique in meshfree methods is collocation procedure based on the
radial basis functions. But the mentioned technique is poor for solving problems that have …

This article develops a new discontinuous Galerkin (DG) method on structured meshes for
solving shallow water equations. The method here applies the one-stage ADER (Arbitrary …

The shallow water equations (SWEs) admit still water steady-state solutions in which the flux
gradients are exactly balanced by the source term. Furthermore, the no-water dry areas …

In this work, an arbitrary order augmented WENO-ADER scheme for the resolution of the 2D
Shallow Water Equations (SWE) with geometric source term is presented and its application …

In this paper, we introduce high order well-balanced discontinuous Galerkin methods for
shallow water equations over non-flat bottom topography, which preserve the lake at rest …

In this work, numerical solvers based on extensions of the Roe and HLL schemes are
adapted to deal with test cases involving extreme collapsing conditions in elastic vessels. To …