Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357797 | Journal of Computational Physics | 2005 | 18 Pages |
Abstract
In this paper a variational formulation of smooth particle hydrodynamics for dynamic problems is presented. The resulting equations treat the continuum as a Hamiltonian system of particles where the constitutive equation of the material is represented via an internal energy term. In the case of fluids the internal energy term is a function of density. The new formulation introduces a variable smoothing length for the evaluation of density and incorporates a consistent approach for the treatment of rigid boundaries. The method overcomes some problems faced by standard SPH approaches that use constant smoothing lengths and provides a variational context for a variable smoothing length formulation. A numerical example shows the capabilities of this novel formulation.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Javier Bonet, Miguel X. RodrÃguez-Paz,