A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers

Deardorff, J. W.

doi:10.1017/s0022112070000691

Cited by 1,657 publications

(816 citation statements)

References 11 publications

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“…The other, which provides the viscous length scale, is usually the square of a measure of the filter width or the grid resolution. When the grid spacing is uniform (or close to being uniform) in all directions, it is standard (following Deardorff [22]) to use the cube root of the volume of a finite volume cell or a finite element as the Smagorinsky length scale. Under these conditions, the only unknown that appears in the Smagorinsky model is a dimensionless parameter which may be determined analytically following Lilly's analysis [23] or as part of the simulation (dynamically) following the approach developed by Germano et al [18].…”

Section: Generalized Smagorinsky Model In Physical Space [7]mentioning

confidence: 99%

Final Report on the “New Directions in the Variational Multiscale Formulation of Large Eddy Simulation of Turbulence”

Oberai

2013

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Section: Generalized Smagorinsky Model In Physical Space [7]mentioning

confidence: 99%

Final Report on the “New Directions in the Variational Multiscale Formulation of Large Eddy Simulation of Turbulence”

Oberai

2013

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“…in which Δ is the volume of numerical elements and the model coefficient is given as Cs=0.15 in this study [7]. The following Van-Driest type damping function is adopted:…”

Section: Governing Equationsmentioning

confidence: 99%

Computational visualization of unsteady flow around vehicles using high performance computing

et al. 2009

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One of the largest-scale unstructured Large Eddy Simulation (LES) of flow around a full-scale road vehicle is conducted on the Earth Simulator in Japan. The main objective of our study is to look into the validity of LES for the assessment of vehicle aerodynamics, especially in the context of its possibility for unsteady or transient aerodynamic forces. Firstly, the aerodynamic LES proposed is quantitatively validated on the ASMO simplified model by comparing the mean pressure distributions on the vehicle surface with those obtained by a conventional Reynolds-Averaged Navier-Stokes simulation (RANS) or a wind tunnel measurement. Then, the method is applied to the full-scale vehicle with complicated geometry to qualitatively investigate the capability of capturing organized flow structures around the vehicle. Finally, unsteady aerodynamic forces acting on the vehicle in transient yawing-angle change are estimated and relationship between the flow structures and the transient aerodynamic forces is mentioned. As a result, it is demonstrated that LES will be a powerful tool for the vehicle aerodynamic assessment in the foreseeable future, because it can provide precious aerodynamic data which conventional wind tunnel tests or RANS simulations are difficult to provide.

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“…where C S is the Smagorinsky coefficient, set to 0.1 in this simulation (5) . ∆ denotes the filter width.…”

Section: Sgs Terms and Basic Assumptionsmentioning

confidence: 99%

Numerical Simulation of MHD Flow Behavior and Performance in the Disk MHD Generator of Closed Loop Experimental Facility

et al. 2006

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Time dependent r-z two dimensional numerical simulation has been carried out in order to clarify the MHD flow behavior and the performance of the disk MHD generator installed in the new closed loop experimental facility at Tokyo Institute of Technology. The main components of the facility are a compressor, a recuperator, a high temperature gas heater, a seed injection system, a superconducting magnet, a disk shaped MHD generator, a cooler, a gas purification system (1) . This paper is focused on the region of the disk MHD generator, shown in Fig. 1, that is here investigated for the first time. In particular, the numerical analysis, that uses a large eddy simulation (LES) model to describe the turbulence of the compressible flow, wants to clarify (1) the behavior of non-MHD flow and MHD flow in the disk MHD generator, and (2) its typical performance in the closed loop experimental facility.The results show that separation of boundary layers occurs in the downstream part of the generator channel both for non-MHD flow and MHD flow. For the MHD effect, the streamlines tend to widen in the generator channel, with reduction of the thickness of non-MHD flow separation zones, as shown in Fig. 2. Furthermore, the MHD flow presents separation of the boundary layer in the anode region due to the large Lorentz Force.The performances of the disk MHD generator have been studied using several load resistances and three seed fractions, as shown in Fig. 3. The load resistances with which the maximum enthalpy extraction ratio (E.E.) and isentropic efficiency (I.E.) can be extracted, shifts to lower value as the seed fraction increases. Best performance are obtained for R L = 0.2 Ω and s f = 8 × 10 −4 . In this case, for thermal input of 0.43 MW, an enthalpy extraction ratio of 19% and isentropic efficiency of 37% are achieved in the studied disk MHD generator.The results obtained in this paper will be fruitful to prepare as better as possible and to assure the success of the future MHD closed loop power generation experiment. However, as soon as the MemberHiroyuki Yamasaki * Member R-z two dimensional numerical simulation with a large eddy simulation (LES) model has been carried out in order to clarify, for the first time, the typical MHD flow behavior and the performance of the disk MHD generator installed in the new closed loop experimental facility at Tokyo Institute of Technology. The results show thick separated flow regions in the generator channel both for non-MHD flow and MHD flow. The separated region influences the MHD interaction because of its low electrical conductivity. The MHD flow streamlines, however, tend to widen in the generator channel, with reduction of thickness of non-MHD flow separation. The typical performance of the generator have been predicted for several load resistances and seed fractions. The study is important to prepare as better as possible and to assure the success of the future MHD power generation experiment.

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A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers

Cited by 1,657 publications

References 11 publications

Final Report on the “New Directions in the Variational Multiscale Formulation of Large Eddy Simulation of Turbulence”

Final Report on the “New Directions in the Variational Multiscale Formulation of Large Eddy Simulation of Turbulence”

Computational visualization of unsteady flow around vehicles using high performance computing

Numerical Simulation of MHD Flow Behavior and Performance in the Disk MHD Generator of Closed Loop Experimental Facility

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