User:Ddcampayo/SPH a la 2005 ext

This is a modified version of Smoothed-particle hydrodynamics, started on Nov 6th 2017.

Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the dynamics of continuum media, such as solid mechanics and fluid flows. It was developed by Gingold and Monaghan (1977) and Lucy (1977) initially for astrophysical problems. It has been used in many fields of research, including astrophysics, ballistics, volcanology, and oceanography. It is a mesh-free Lagrangian method (where the coordinates move with the fluid), and the resolution of the method can easily be adjusted with respect to variables such as the density.

Introduction

text, pictures, movies...

Interpolation

Integral and summation interpolants and their kernels

Derivatives

SPH Euler equations

Viscosity

Stability & Convergence

Artificial viscosity

Tensile Instability

Pairing Instability

Lagrangian equations

SPH variants

Choice of kernel function

δ-SPH

incompressible SPH

Computational aspects

Time integration schemes

Visualization

GPU paradigm

Coupling with other methods

Refinement and variable resolution

Particle shifting

Applications & Boundary Conditions

Applications of the Euler equations

Heat conduction and matter diffusion

Applications to shock and rarefaction problems

Applications of SPH to liquids

Elasticity and fracture

Special and general relativistic SPH

Prospects for the future

Software

Open-source

Commercial