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Buoyancy modelling with incompressible SPH for laminar and turbulent flows

Abstract : This work aims at modelling buoyant, laminar or turbulent flows, using a 2D Incompressible Smoothed Particle Hydrodynamics (ISPH) model with accurate wall boundary conditions. The buoyancy effects are modelled through the Boussinesq approximation coupled to a heat equation, which makes it possible to apply an incompressible algorithm to compute the pressure field from a Poisson equation. Based on our previous work (Leroy et al., 2014), we extend the unified semi-analytical wall boundary conditions to the present model. The latter is also combined to a Reynolds-Averaged Navier-Stokes approach to treat turbulent flows. The k − turbulence model is used, where buoyancy is modelled through an additional term in the k − equations like in mesh-based methods. We propose a unified framework to prescribe isothermal (Dirichlet) or imposed heat flux (Neumann) wall boundary conditions in ISPH. To illustrate this, a theoretical case is presented (laminar heated Poiseuille flow), where excellent agreement with the theoretical solution is obtained. Several benchmark cases are then proposed: a lock-exchange flow, two laminar and one turbulent flow in differentially heated cavities, and finally a turbulent heated Poiseuille flow. Comparisons are provided with a Finite-Volume (FV) approach using an open-source industrial code.
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Submitted on : Wednesday, July 5, 2017 - 4:56:31 PM
Last modification on : Tuesday, April 19, 2022 - 10:10:55 AM
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Agnès Leroy, Damien Violeau, Martin Ferrand, Antoine Joly. Buoyancy modelling with incompressible SPH for laminar and turbulent flows. International Journal for Numerical Methods in Fluids, Wiley, 2015, 78 (8), pp.455 - 474. ⟨10.1002/fld.4025⟩. ⟨hal-01557023⟩



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