LES of turbulent heat transfer: proper convection numerical schemes for temperature transport

Abstract

SUMMARYLarge eddy simulations of two basic conÿgurations (decay of isotropic turbulence, and the academic plane channel ow) with heat transfer have been performed comparing several convection numerical schemes, in order to discuss their ability to evaluate temperature uctuations properly. Results are compared with the available incompressible heat transfer direct numerical simulation data. It is shown that the use of regularizing schemes (such as high order upwind type schemes) for the temperature transport equation in combination with centered schemes for momentum transport equation gives better results than the use of centred schemes for both equations.

Verification and validation considerations regarding the qualification of numerical schemes for LES for dilution problems

“…"Low diffusive schemes" are said to be mandatory for LES of turbulent flows since upwinding compromises accuracy (Garnier et al (1999) as well as Mittal and Moin (1997)) in the meaning that the numerical dissipation may spuriously interact and eventually hide the molecular and sub-grid viscosity effects. Some works associate this property with the search for quadratic quantities conservation at a discrete level which is an interesting property as far as the kinetic energy conservation is concerned (see Ducros et al (2000) for schemes related to structured meshes and Mahesh et al (2004) for unstructured meshes). However, models based on numerical dissipation coming along with upwinding are very attractive to use since they may behave well and are already available in all CFD codes: this approach refers to Monotonic Integrated Large Eddy Simulation (MILES, see: Fureby et al(2005)).…”

“…The use of such schemes may show robustness advantages but there seems to be a large consensus to prefer the previous mentioned low dissipative schemes when there are available. Recent works focus on the treatment of scalar advection and suggest that the best compromise for LES is to make use of centred schemes for momentum transport and high order regularizing schemes for scalar transport (see: Chatelain et al (2004)) for a proposal for structured meshes). Among the reported reasons for this choice are the previous kinetic energy conservation for the momentum equation and the search for a compromise between the required positivity of the convection scheme for the scalar, which is mandatory to keep the scalar between physical bounds and the fact that a too large numerical diffusion may, as for the momentum, spuriously interact with the turbulent diffusion at the cut of level.…”

A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer

“…Introduction. The large-eddy simulation (LES) equations for incompressible thermal flows are obtained by applying a spatial filtering to the Navier-Stokes equations subject to the Boussinesq approximation; see [5,4,17,23,16,12] and the references therein. However, this procedure introduces a term called a subgrid stress tensor which needs to be modelled.…”

Two-Dimensional Numerical Simulation of the Combined Heat Transfer in Channel Flow

“…Lee et al [21] carried out simulations in a vertical channel with several temperature differences to study the coupling of fluid properties variations and gravity. Chatelain et al [22] investigated numerical schemes for LES of heat transfer. Recently, problems including heat transfer, radiation, and blowing has been more considered.…”