NUMERICAL ANALYSIS OF INCOMPRESSIBLE VISCOUS FLOWS WITH FREE SURFACE

‎Incompressible ‎smoothed particle hydrodynamics simulations on free surface flows

‎The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH)‎. ‎In the current ISPH method‎, ‎the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free ve...

A Splitting Method for Numerical Simulation of Free Surface Flows of Incompressible Fluids with Surface Tension

The paper studies a splitting method for the numerical time-integration of the system of partial differential equations describing the motion of viscous incompressible fluid with free boundary subject to surface tension forces. The method splits one time step into a semi-Lagrangian treatment of the surface advection and fluid inertia, an implicit update of viscous terms and the projection of ve...

Incompressible Viscous Flows

In this article, we describe some approaches to the eecient numerical computation of viscous incompressible ows governed by the Navier-Stokes equations. We concentrate on laminar ows, stationary as well as nonstationary, for Reynolds numbers of moderate size, and in general domains. The emphasis is on spatial discretization by the nite element method. We discuss the treatment of the incompressi...

Numerical Methods for Viscous Incompressible Flows: Some Recent Advances

Simulation of Gravity Wave Propagation in Free Surface Flows by an Incompressible SPH Algorithm

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...