Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01557023
Contributor : Agnès Leroy <>
Submitted on : Wednesday, July 5, 2017 - 4:56:31 PM
Last modification on : Friday, December 21, 2018 - 11:06:03 AM
Document(s) archivé(s) le : Tuesday, January 23, 2018 - 9:26:33 PM

File

paper_buoyancy_2014.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

202

Files downloads

621