A viscous free-surface flow energy decomposition analysis is conducted in the present paper. In the presence of a free surface, the viscous dissipation for a Newtonian liquid canbe decomposed into two terms: an enstrophy component and a free-surface deformation component. Equations for such terms in the weakly compressible SPH (WCSPH) formalism are devised. They require the discretization of a volume and a surface integral, respectively. Applying energy conservation, a double-checking of the free surface term is developed and applied, confirming the quality of the surface integral SPH evaluation, even in the presence of moderately fragmented free surface. Application to a large amplitude standing wave with breaking is presented.
Energy decomposition analysis in free-surface flows: road-map for the direct computation of wave breaking dissipation
A Colagrossi;B Bouscasse;
2014
Abstract
A viscous free-surface flow energy decomposition analysis is conducted in the present paper. In the presence of a free surface, the viscous dissipation for a Newtonian liquid canbe decomposed into two terms: an enstrophy component and a free-surface deformation component. Equations for such terms in the weakly compressible SPH (WCSPH) formalism are devised. They require the discretization of a volume and a surface integral, respectively. Applying energy conservation, a double-checking of the free surface term is developed and applied, confirming the quality of the surface integral SPH evaluation, even in the presence of moderately fragmented free surface. Application to a large amplitude standing wave with breaking is presented.File | Dimensione | Formato | |
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Descrizione: Energy decomposition analysis in free-surface flows
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