Wikipedia

User:Ddcampayo/SPH a la 2005 ext

< User:Ddcampayo

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

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text, pictures, movies...

Interpolation

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Integral and summation interpolants and their kernels

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Derivatives

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SPH Euler equations

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Viscosity

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Stability & Convergence

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Artificial viscosity

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Tensile Instability

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Pairing Instability

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Lagrangian equations

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SPH variants

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Choice of kernel function

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δ-SPH

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incompressible SPH

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Computational aspects

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Time integration schemes

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Visualization

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GPU paradigm

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Coupling with other methods

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Refinement and variable resolution

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Particle shifting

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Applications & Boundary Conditions

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Applications of the Euler equations

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Heat conduction and matter diffusion

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Applications to shock and rarefaction problems

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Applications of SPH to liquids

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Elasticity and fracture

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Special and general relativistic SPH

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Prospects for the future

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Software

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Open-source

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Commercial

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