Smoothed Particle Hydrodynamics is a multidimensional Lagrangian method of numerical hydrodynamics that has been used to tackle a wide variety of problems in astrophysics. Here we develop the basic equations of the SPH scheme, and we discuss some of its numerical properties and limitations. As an illustration of typical astrophysical applications, we discuss recent calculations of stellar inter...

A quantitative comparison of the usual and recent numerical treatments which are applied to the Smoothed Particle Hydrodynamics (SPH) method are presented together with a new free-surface treatment. A series of numerical treatments are studied to refine the numerical procedures of the SPH method particularly for violent flows with a free surface. Two dimensional dam-break and sway-sloshing prob...

In this thesis, we focus on surface representations for particle-based fluid simulators such as Smoothed Particle Hydrodynamics (SPH). We first present a new surface reconstruction algorithm that formulates the implicit function as a sum of anisotropic smoothing kernels. The direction of anisotropy at a particle is determined by performing Weighted Principal Component Analysis (WPCA) over the n...

We propose a new method based on the use of fractional differentiation for improving the efficiency and realism of simulations based on Smoothed Particle Hydrodynamics (SPH). SPH represents a popular particle-based approach for fluid simulation and a high number of particles is typically needed for achieving high quality results. However, as the number of simulated particles increases, the spee...

A general method for fluid solid interaction problem simulations has been developed in 3D algorithm using incompressible smoothed particle hydrodynamics (SPH) method. The solid is assumed to be rigid so it can be considered as moving boundaries for fluid. Using repulsive force has been proved to be an efficient boundary treatment for incompressible SPH method before with 2D examples. The advant...

It is still difficult for traditional methods to simulate fluid-structure interaction (FSI) problems which are increasingly used to model cardiovascular system, and human organism. This contribution develops a new numerical method to analyze FSI, based on smoothed particle hydrodynamics (SPH). The Lagrangian and meshless characteristics of SPH presents distinct features to devise the method by ...