Large Eddy Simulation of Turbulent Channel Flow Using Smagorinsky Model and Effects of Smagorinsky Constants

Uddin, Md. Ashraf; Mallik, Muhammad Saiful İslam

doi:10.9734/bjmcs/2015/15962

Cited by 4 publications

(44 citation statements)

References 25 publications

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“…Instantaneous streamwise velocity distribution at the centerline plane of the channel and instantaneous streamwise shear velocity distribution at the immediate vicinity of the wall have also been discussed by different contour plots and compared with those obtained by Uddin and Mallik [5]. Vortical structures using second invariant of velocity gradient tensor in the turbulent flow field are visualized and compared with that of Uddin and Mallik [5]. More specifically, the prime objective of our investigation is whether our simulation is able to capture turbulence at low resolution by using AWM in LES.…”

Section: Introductionmentioning

confidence: 99%

“…It is commonly encountered in engineering practice. Because of the simplicity in geometry and its wide application background in industry, the experimental and computational studies of the turbulent channel flow have been carried out extensively [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…Although DNS is considered as the exact approach to turbulence simulation, yet it is very expensive if the flow Reynolds number is very high and computational grid is very large. LES is a method in which large-scale motions are exactly calculated and the SGS motion is modeled [5][6].…”

Section: Introductionmentioning

confidence: 99%

“…To conduct LES in wall bounded turbulent flows [3][4][5][6][7][8][9][10], a large number of computational nodes are generally required to resolve the boundary layers. Wall integration of turbulence models requires the first computational node above the wall to be situated within the viscous sublayer.…”

Section: Introductionmentioning

confidence: 99%

“…Essential turbulence statistics of the computed flow field are investigated and compared with DNS data of Moser et al [2] and LES data of Uddin and Mallik [5]. Instantaneous streamwise velocity distribution at the centerline plane of the channel and instantaneous streamwise shear velocity distribution at the immediate vicinity of the wall have also been discussed by different contour plots and compared with those obtained by Uddin and Mallik [5]. Vortical structures using second invariant of velocity gradient tensor in the turbulent flow field are visualized and compared with that of Uddin and Mallik [5].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Large Eddy Simulation of Turbulent Channel Flow Using Algebraic Wall Model

Mallik¹,

Uddin²

2016

Journal of the Korea Society for Industrial and Applied Mathema

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ABSTRACT. A large eddy simulation (LES) of a turbulent channel flow is performed by using the third order low-storage Runge-Kutta method in time and second order finite difference formulation in space with staggered grid at a Reynolds number, Reτ = 590 based on the channel half width, δ and wall shear velocity, uτ . To reduce the calculation cost of LES, algebraic wall model (AWM) is applied to approximate the near-wall region. The computation is performed in a domain of 2πδ×2δ×πδ with 32×20×32 grid points. Standard Smagorinsky model is used for subgrid-scale (SGS) modeling. Essential turbulence statistics of the flow field are computed and compared with Direct Numerical Simulation (DNS) data and LES data using no wall model. Agreements as well as discrepancies are discussed. The flow structures in the computed flow field have also been discussed and compared with LES data using no wall model.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Large Eddy Simulation of Turbulent Channel Flow Using Algebraic Wall Model

Mallik¹,

Uddin²

2016

Journal of the Korea Society for Industrial and Applied Mathema

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Large eddy simulation of turbulent channel flow using differential equation wall model

Mallik

Uddin

2018

J. nav. arch. mar. engg.

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A large eddy simulation (LES) of a plane turbulent channel flow is performed at a Reynolds number Re? = 590 based on the channel half width, ? and wall shear velocity, u? by approximating the near wall region using differential equation wall model (DEWM). The simulation is performed in a computational domain of 2?? x 2? x ??. The computational domain is discretized by staggered grid system with 32 x 30 x 32 grid points. In this domain the governing equations of LES are discretized spatially by second order finite difference formulation, and for temporal discretization the third order low-storage Runge-Kutta method is used. Essential turbulence statistics of the computed flow field based on this LES approach are calculated and compared with the available Direct Numerical Simulation (DNS) and LES data where no wall model was used. Comparing the results throughout the calculation domain we have found that the LES results based on DEWM show closer agreement with the DNS data, especially at the near wall region. That is, the LES approach based on DEWM can capture the effects of near wall structures more accurately. Flow structures in the computed flow field in the 3D turbulent channel have also been discussed and compared with LES data using no wall model.

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Comparative Study of Standard Smagorinsky Model and Dynamic Smagorinsky Model in Large Eddy Simulation of Turbulent Channel Flow

2020

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This paper presents results of comparative study of large eddy simulation (LES) that is applied to a plane turbulent channel flow. The LES is performed by using a finite difference method of second order accuracy in space and a low-storage explicit Runge-Kutta method with third order accuracy in time. In the LES for subgrid-scale (SGS) modelling, Standard Smagorinsky Model (SSM) and Dynamic Smagorinsky Model (DSM) are used. Essential turbulence statistics from the two LES approaches are calculated and compared with those from direct numerical simulation (DNS) data. Comparing the results throughout the calculation domain, it has been found out that SSM performs better than DSM in the turbulent channel flow simulation. Flow structures in the computed flow field by the SSM and DSM are also discussed and compared through the contour plots and iso-surfaces.

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Large Eddy Simulation of Turbulent Channel Flow Using Smagorinsky Model and Effects of Smagorinsky Constants

Cited by 4 publications

References 25 publications

Large Eddy Simulation of Turbulent Channel Flow Using Algebraic Wall Model

Large Eddy Simulation of Turbulent Channel Flow Using Algebraic Wall Model

Large eddy simulation of turbulent channel flow using differential equation wall model

Comparative Study of Standard Smagorinsky Model and Dynamic Smagorinsky Model in Large Eddy Simulation of Turbulent Channel Flow

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