The lattice Boltzmann method (LBM) emerged from the field of computational fluid dynamics as an alternative to Navier-Stokes based approaches. It has since been proven to be applicable also for the simulation of free surface flows (liquid-gas flow) and particulate flows (liquid-solid flow). In the past both algorithmss for free surface flows and particulate flows have been realized that preserv...

Weconsider liquid-metal free-surface flows subject to a strongmagnetic field, including film, droplet and jet flows, as potential means to remove high heat fluxes of (5–15)·106 W/m or larger in fusion applications. These considerations are partially based on the earlier experimental studies of free-surface flows performed in the Tokomak-3 reactor in the city of Shatura, Russia. We also review r...

This paper presents an incompressible smoothed particle hydrodynamics (SPH) model to simulate wave propagation in a free surface flow. The Navier-Stokes equations are solved in a Lagrangian framework using a three-step fractional method. In the first step, a temporary velocity field is provided according to the relevant body forces. This velocity field is renewed in the second step to include t...

This thesis presents the formulation of a Smoothed Particle Hydrodynamics (SPH) model and its application to a range of engineering applications. The motivation for this research lies in the desire to accurately model viscous and turbulent free-surface flows, including those with complete break-up of the free-surface. At present, boundary element modelling is typically chosen to describe free-s...

The main objective of this paper is to formulate a mathematical model for finding flow field and cavitation problem on dam spillways. The Navier-Stokes Equation has been applied for the computation of pressure and velocity field, free water surface profiles and other parameters. Also, for increasing accuracy of the problem, viscosity effect has been considered. Because of internal flows the eff...