Numerical avalanche dynamics models have become an essential part of snow
engineering. Coupled with field observations and historical records, they are especially …

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

Dam-break flows usually propagate along rivers and floodplains, where the processes of
fluid flow, sediment transport and bed evolution are closely linked. However, the majority of …

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 …

The floods have become a scourge in recent years (Floods of, 2003, 2006, 2009, 2011, and
2012), increasingly frequent and devastating. Tunisia does not escape flooding problems …

This paper reports on the numerical modelling of flash flood propagation in urban areas after
an excessive rainfall event or dam/dyke break wave. A two-dimensional (2-D) depth …

In this study, we investigate the influence of fine‐scale changes in the elevation of urban
terrains on the dynamics and final distribution of flood inundation generated by intense …

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 …

Depth averaged models are widely used in engineering practice in order to model
environmental flows in river and coastal regions, as well as shallow flows in hydraulic …

A novel meshless numerical scheme, based on the generalized finite difference method
(GFDM), is proposed to accurately analyze the two–dimensional shallow water equations …