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Smoothed Particle Hydrodynamics Method

2018
In this chapter, the basic concepts of the SPH method and its application in the discretization of the continuum domain in particles are presented. The SPH approximations of the equations of conservation are deduced and explained. Kernels used in interpolations, temporal integration methods, the particle inconsistency problem and numerical corrections ...
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ON PARTICLE WEIGHTED METHODS AND SMOOTH PARTICLE HYDRODYNAMICS

Mathematical Models and Methods in Applied Sciences, 1999
This paper deal with designing of weighted particle approximation of conservation laws. New ideas concerning the use of variable smoothing length, renormalization and the use of Godunov type finite difference fluxes in particle methods are introduced and discussed in connection with standard implementation of the SPH method.
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Smoothed particle hydrodynamics virtausmekaniikan simulaatioissa

2016
Tässä opinnäytetyössä käsittelemme Smoothed Particle Hydrodynamics -menetelmää (SPH) virtausmekaniikan simulaatioissa. Aluksi johdamme nesteen liikettä kuvaavat differentiaaliyhtälöt. Määrittelemme SPH:n diskreetit divergenssi-, gradientti- sekä Laplace-operaattorit avaruuden diskretisoimiseksi.
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