Generation of electricity from existing canals through micro projects have become practical
and alternate solution to large scale hydro projects. Run-of-the-River (ROR) is a …

We are interested in the modelling of multi-dimensional turbulent hydraulic jumps in
convergent radial flow. To describe the formation of intensive eddies (rollers) at the front of …

We present a new one-dimensional hybrid second-order accurate well-balanced
unstaggered central scheme/particle method (WBUCS-P) for computing the transport of …

In this article, we address the question of the local in time well‐posedness of the one‐
dimensional shallow water on an interval, these equations being supplemented with …

We consider the linearized 2D inviscid shallow water equations in a rectangle. A set of
boundary conditions is proposed which make these equations well-posed. Several different …

Numerical simulation of shallow water equations has been carried out using the Crank-
Nicolson scheme of Finite Difference Method (FDM) to study the interaction of waves with …

We consider the one-dimensional shallow water equations (SW) in a finite channel with
variable bottom topography. We pose several initial–boundary-value problems for the SW …

We investigate an initial-boundary value problem for the one-dimensional rotating shallow
water magnetohydrodynamic equations. The Dirichlet boundary conditions are imposed …

We consider the shallow water equations in the supercritical and subcritical cases in one
space variable, posed in a finite spatial interval with characteristic boundary conditions at …

Simulations of shallow-water flows in an open channel with vegetation are considered. The
simple formulation of bulk resistance makes numerical realization of vegetation …