The lattice Boltzmann method (LBM) is a modern numerical technique, very efficient, flexible
to simulate different flows within complex/varying geometries. It is evolved from the lattice …

A lattice Boltzmann model for the shallow water equations (LABSWE) is developed. It solves
the equations with the source terms such as bed slope, bed friction. The model has been …

Details are given of the development of a two‐dimensional vertical numerical model for
simulating unsteady free‐surface flows, using a non‐hydrostatic pressure distribution. In this …

This review paper investigates the determinants of modelling choices, for numerous
applications of 1-D free-surface flow and morphodynamic equations in hydrology and …

This paper presents the results of lahar modelling in the town of Villa La Angostura
(Neuquén-Argentina) based on the Two-Phase-Titan modelling computer code. The …

We apply the lattice Boltzmann (LB) method for solving the shallow water equations with
source terms such as the bed slope and bed friction. Our aim is to use a simple and accurate …

A numerical model using the finite-element and finite-volume methods is developed for the
resolution of two-dimensional free-surface flow equations including air entrainment and …

A two-dimensional depth averaged model is developed in a nonorthogonal curvilinear
coordinate system. The ability of the model in handling complex mesh arrangements with …

A flow model is presented for predicting a hydraulic jump in a straight open channel. The
model is based on the general 2D shallow water equations in strong conservation form …

We report a two-dimensional multi-block lattice Boltzmann model for solute transport in
shallow water flows, which is developed based on the advection–diffusion equation for mass …