A general semi-analytic approach for modelling solid boundaries in the SPH method is presented: they are considered as a material continuum with suitable distribution of velocity and pressure. Boundary contribution to each term of the SPH mass and momentum balance equations can be expressed in terms of a suitable integral extended to the volume intersection of the influence sphere of the particle with the boundary surface. Analytical details with reference to a slightly compressible viscous Newtonian fluid in three-dimensional geometry are given.
A semi-analytic approach for SPH modelling of solid boundaries
MANENTI, SAURO;GALLATI, MARIO;SIBILLA, STEFANO;
2009-01-01
Abstract
A general semi-analytic approach for modelling solid boundaries in the SPH method is presented: they are considered as a material continuum with suitable distribution of velocity and pressure. Boundary contribution to each term of the SPH mass and momentum balance equations can be expressed in terms of a suitable integral extended to the volume intersection of the influence sphere of the particle with the boundary surface. Analytical details with reference to a slightly compressible viscous Newtonian fluid in three-dimensional geometry are given.File in questo prodotto:
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