A complete and irreducible dynamic SGS heat-flux modelling based on the strain rate tensor for large-eddy simulation of thermal convection

Wang, Bing-Chen; Yee, Eugene; Bergstrom, Donald J.

doi:10.1016/j.ijheatfluidflow.2007.06.001

Cited by 17 publications

(40 citation statements)

References 40 publications

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“…The explicit algebraic dynamic SGS HF modelling approach is represented by two types: featuring symmetrical and non-symmetrical tensor diffusivities [9,21].…”

Section: Dynamic Modelling For Sgs Heat Fluxesmentioning

confidence: 99%

“…In their approach, the tensor diffusivity is constructed as a homogenous linear function of the resolved strain rate tensorS ij . Wang et al [9,21] systematically developed the algebraic dynamic SGS HF modelling approaches based on the strain rate tensorS ij and SGS stress tensor τ ij in their research, three variants of the constitutive formulas based on the homogeneous linear tensor function, full linear tensor function and quadratic tensor function of the constituent tensor (S ij and τ ij ) have been thoroughly investigated. In their study, a dynamic full linear tensor diffusivity model (DFLTDM) was proposed by Wang et al [9].…”

Section: Dynamic Modelling For Sgs Heat Fluxesmentioning

confidence: 99%

“…ii) To date, the advanced DNM of Wang and Bergstrom [11] for modelling the SGS stress tensor and the DFLTDM of Wang et al [9] for modelling the SGS HF vector, have only been tested using a few canonical test cases such as Couette and Poiseuille flows, mixed natural and forced convection flows in horizontal and vertical channels [9,21], and physiological pulsatile transition-to-turbulent flows in vessels with idealized arterial stenosis [52]. Xun et al [14] thoroughly examined the performance of these advanced modelling approaches in the context of a heated rotating channel flow subjected to spanwise rotations.…”

Section: Objectives Of the Thesismentioning

confidence: 99%

“…In this thesis, two dynamic SGS HF models are used: namely, the dynamic eddy diffusivity model (DEDM) of Moin et al [15] and the dynamic full linear tensor diffusivity model (DFLTDM) of Wang et al [61].…”

Section: Sgs Heat Flux Modelsmentioning

confidence: 99%

“…In the DFLTDM proposed by Wang et al [61], the SGS heat flux is modelled as 37) where the tensor diffusivity is a full linear function ofS ij , i.e.…”

Section: Sgs Heat Flux Model 2 (Dfltdm)mentioning

confidence: 99%

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Large-eddy simulation of turbulent flows in a heated streamwise rotating channel

Wang

Zhang

2013

International Journal of Heat and Fluid Flow

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“…The explicit algebraic dynamic SGS HF modelling approach is represented by two types: featuring symmetrical and non-symmetrical tensor diffusivities [9,21].…”

Section: Dynamic Modelling For Sgs Heat Fluxesmentioning

confidence: 99%

Section: Dynamic Modelling For Sgs Heat Fluxesmentioning

confidence: 99%

Section: Objectives Of the Thesismentioning

confidence: 99%

Section: Sgs Heat Flux Modelsmentioning

confidence: 99%

“…In the DFLTDM proposed by Wang et al [61], the SGS heat flux is modelled as 37) where the tensor diffusivity is a full linear function ofS ij , i.e.…”

Section: Sgs Heat Flux Model 2 (Dfltdm)mentioning

confidence: 99%

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Large-eddy simulation of turbulent flows in a heated streamwise rotating channel

Wang

Zhang

2013

International Journal of Heat and Fluid Flow

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Geometrical Properties of the Resolved-Scale Velocity and Temperature Fields Predicted using Large-Eddy Simulation

Wang

Bergstrom

2008

Flow Turbulence Combust

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In this paper, local geometrical properties of the velocity and temperature fields of combined forced and natural convection in a vertical slot are studied using large-eddy simulation based on both numerical and analytical approaches. Previous studies on turbulence geometrical statistics appearing in the literature have primarily focused on either isothermal or isotropic turbulent flows; whereas in this work, we extend the scope of research to investigation of a wall-bounded thermal flow. In particular, we focus on studying the resolved helicity, enstrophy generation, local vortex stretching, and a variety of characteristic geometrical alignment patterns between the resolved velocity, vorticity, temperature gradient, subgrid-scale heat flux and the eigenvectors of the resolved strain rate tensor. In order to quantify the effect of buoyancy on the geometrical properties of the thermal flow field, a systematic comparative analysis has been conducted based on three different flow regimes (i.e., viscous sublayer, buffer layer and logarithmic layer) in both the hot and cold wall regions. The near-wall restriction on the geometrical property of the thermal flow field has been analyzed and some interesting wall-limiting geometrical alignment patterns in the form of Dirac delta functions are also reported.

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A Wall-Adapted Anisotropic Heat Flux Model for Large Eddy Simulations of Complex Turbulent Thermal Flows

Ries

Nishad

et al. 2020

Flow Turbulence Combust

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In this paper, a wall-adapted anisotropic heat flux model for large eddy simulations of complex engineering applications is proposed. First, the accuracy and physical consistency of the novel heat flux model are testified for turbulent heated channel flows with different fluid properties by comparing with conventional isotropic models. Then, the performance of the model is evaluated in case of more complex heat and fluid flow situations that are in particular relevant for internal combustion engines and engine exhaust systems. For this purpose large eddy simulations of a strongly heated pipe flow, a turbulent inclined jet impinging on a heated solid surface and a backward-facing step flow with heated walls were carried out. It turned out that the proposed heat flux model has the following advantages over existing model formulations: (1) it accounts for variable fluid properties and anisotropic effects in the unresolved temperature scales, (2) no ad-hoc treatments or dynamic procedure are required to obtain the correct near-wall behavior, (3) the formulation is consistent with the second law of thermodynamics, and (4) the model has a similar prediction accuracy and computational effort than conventional isotropic models. In particular, it is shown that the proposed heat flux model is the only model under consideration that is able to predict the direction of subgrid-scale heat fluxes correctly, also under realistic heat and fluid flow conditions in complex engineering applications.

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A complete and irreducible dynamic SGS heat-flux modelling based on the strain rate tensor for large-eddy simulation of thermal convection

Cited by 17 publications

References 40 publications

Large-eddy simulation of turbulent flows in a heated streamwise rotating channel

Large-eddy simulation of turbulent flows in a heated streamwise rotating channel

Geometrical Properties of the Resolved-Scale Velocity and Temperature Fields Predicted using Large-Eddy Simulation

A Wall-Adapted Anisotropic Heat Flux Model for Large Eddy Simulations of Complex Turbulent Thermal Flows

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