In this paper, we explore the possibility to derive an original lattice Boltzmann scheme for
solving shallow water equations. Specifically, it is proposed to decompose the collision …

The lattice Boltzmann method (LBM) has recently attracted attention as a simple
computational fluid dynamics (CFD) method that does not directly solve macroscopic …

In this paper, a lattice Boltzmann (LB) model is proposed for a class of viscous shallow water
equations, in which a second-order moment of the source term is applied to recover the …

Conservation of mass or water balance is important for the simulation of shallow water
projects. The traditional treatment of discharge and water level boundary conditions ignores …

This study proposes a novel framework of the lattice Boltzmann model for multilayer shallow
water equations, considering the mass and momentum exchanges between layers …

In this study, a multi-relaxation time lattice Boltzmann model for shallow water in a
curvilinear coordinate grid is developed using the generalized form of the interpolation …

In this paper, we test the numerical properties of several variants of the lattice Boltzmann
method (LBM) for simulating the shallow water flows. Specifically, we perform a systematic …

In this work, we present an exhaustive performance analysis of the integration of boundary
conditions in a unified CUDA kernel for a lattice Boltzmann shallow water solver. This kernel …

In order to introduce the lattice Boltzmann method as a competitive approach compared to
traditionally based mathematical models when river and coastal hydraulics are considered …

Proper approximation of the force terms, especially the bed slope term, is of crucial
importance to simulating shallow water flows in lattice Boltzmann (LB) models. However …