Smoothed Particle Hydrodynamics SPH is a particle method to sim ulate compressible uids First we present a brief introduction to SPH where we focus on an approach to treat the physical viscosity Then we describe in detail the basic principles of our parallel implementation of the SPH method The e ciency of the code on Cray T E and IBM SP is discussed In the last part we present a short introduc...

We develop a new dimension reduction method for large size ODE systems obtained from a discretization of partial differential equations of viscous single and multiphase fluid flow. The method is also applicable to other large size classical particle systems with negligibly small variations of particle concentration. We propose a new computational closure for mesoscale balance equations based on...

Simulation of free surface flow and sudden wave profile are recognized as the most challenging problem in computational hydraulics. Several Eulerian/Lagrangian approaches and models can be implemented for simulating such phenomena in which the smoothed particle hydrodynamics method (SPH) is categorized as a proper candidate. The incompressible SPH (ISPH) method hires a precise incompressible hy...

Motivated by recent research on the iterative approach proposed for smoothed particle hydrodynamics (ISPH) method, some ideas to improve process are introduced. The standard procedure is enhanced iterating residuals preserving matrix-free nature of process. method appealing providing reasonable results with disordered data distribution too and no kernel variations needed in approximation. This ...

We present a smoothed particle hydrodynamic model for incompressible fluids. As opposed to solving a pressure Poisson equation in order to get a divergence-free velocity field, here incompressibility is achieved by requiring as a kinematic constraint that the volume of the fluid particles is constant. We use Lagrangian multipliers to enforce this restriction. These Lagrange multipliers play the...