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Buoyancy Modelling in Sph with Appropriate Boundary Conditions

Author(s): A. Leroy; D. Violeau; A. Joly; M. Ferrand

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Keywords: Incompressible flows; Numerical simulation; SPH; Turbulence; Temperature

Abstract: Buoyancy effects due to active scalars (e. g. temperature) are important in industrial and environmental flows. In case of flows presenting complex fluid interfaces (e. g. distorted free-surface) or fluid/structure interactions, Lagrangian methods make it easier to capture all the flow structures (wave breaking, fluid mixing) .The purpose of the present work is to model temperature advection/diffusion coupled with turbulence through the SPH (Smoothed Particle Hydrodynamics) Lagrangian numerical method. Buoyancy is modelled with a Boussinesq approximation, the pressure being solved from a Poisson equation. Turbulence/buoyancy coupling is handled by a k–εmodel including buoyancy terms. The main progress in this work is the treatment of boundary conditions (BC) in SPH. For wall BC, the so-called semi-analytical approach is applied, while a new method is used to treat open (inlet/outlet) BC. This combined approach proved being very efficient, SPH providing velocity, pressure, temperature and turbulent profiles in excellent agreement with the Finite Volume method for confined flows. The 3-D extension is rather straightforward and is based on a GPU-programming for computational efficiency. Applications to confined unsteady flows are presented.


Year: 2015

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