Chapter

Advanced hydraulics with SPH

D. Violeau

in Fluid Mechanics and the SPH Method

Published in print May 2012 | ISBN: 9780199655526
Published online September 2012 | e-ISBN: 9780191741227 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199655526.003.0006
Advanced hydraulics with SPH

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Second-order derivatives in SPH are presented and their properties are studied. Discrete viscous forces are then introduced, and dissipation of energy is studied. Other fluid motion features are then described, e.g. surface tension with SPH, fluid-structure interactions, etc. A focus is made on the treatment of truly incompressible SPH from the developments of Chapter 3. The modelling of turbulent flows in SPH is here investigated, from the standard Reynolds-averaged models (up to the standard k–ε model) to more sophisticated approaches (LES, stochastic models, etc.).

Keywords: SPH; second-order operators; viscous forces; incompressible algorithm; discrete turbulence

Chapter.  40940 words.  Illustrated.

Subjects: Condensed Matter Physics

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