Large Eddy Simulation of a Turbulent Channel Flow Using Dynamic SGS Model with GSMAC-FEM

In Large Eddy Simulation (LES) using the dynamic Smagorinsky model1), the test filtering operation is important because the model constant is dependent on the operation.In order to precisely evaluate the numerical results using the dynamic Smagorinsky model, it is necessary to have a clear grasp of...

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Published inTheoretical and Applied Mechanics Japan Vol. 52; pp. 55 - 62
Main Authors MIYOSHI, Ichiro, TANAHASHI, Takahiko
Format Journal Article
LanguageEnglish
Published Tokyo National Committee for IUTAM 2003
Japan Science and Technology Agency
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Abstract In Large Eddy Simulation (LES) using the dynamic Smagorinsky model1), the test filtering operation is important because the model constant is dependent on the operation.In order to precisely evaluate the numerical results using the dynamic Smagorinsky model, it is necessary to have a clear grasp of the operation. In the present study, we examine the characteristics of the test filtering operation descritized with Finite Element Method (FEM).In order to clarify this characteristics, we apply the FiniteDifference Method ( FDM ) to only the test filtering operation and compare the results obtained respectively by FEM and FDM.The numerical model is a turbulent channel flow, which is a benchmark problem. Based on the numerical results, we clarify the difference in the discretization of the test filtering operation and reveal the influence of different discretization method.
AbstractList In Large Eddy Simulation (LES) using the dynamic Smagorinsky model1), the test filtering operation is important because the model constant is dependent on the operation.In order to precisely evaluate the numerical results using the dynamic Smagorinsky model, it is necessary to have a clear grasp of the operation. In the present study, we examine the characteristics of the test filtering operation descritized with Finite Element Method (FEM).In order to clarify this characteristics, we apply the FiniteDifference Method ( FDM ) to only the test filtering operation and compare the results obtained respectively by FEM and FDM.The numerical model is a turbulent channel flow, which is a benchmark problem. Based on the numerical results, we clarify the difference in the discretization of the test filtering operation and reveal the influence of different discretization method.
Author MIYOSHI, Ichiro
TANAHASHI, Takahiko
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References 1) M.Germano, U. Piomelli, P. Moin and W. H. Cobat,A dynamic subgrid-scale eddy viscosity model, Phys. Fluids, A3 (1991), pp.1760 - 1765.
2) M.Tsubokura, T. Kobayashi and N. Taniguchi,Development of the Isotropic Eddy Viscosity Type SGS Models for the Dynamic Proceedure Using Finite Difference Method and its Assessment on a Plane Turbulent Channel Flow,JSME Int. J. Ser. B, Vol.44, No.4 (2001), pp. 487 - 495.
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8) http://www.thtlab.t.u-tokyo.ac.jp
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4) I. Miyoshi, T. Tanahashi, Large Eddy Simulation of Turbulent channel flow with GSMAC-FEM, PROCEEDINGS OF THE FIFTH JSME-KSME FLUIDS ENGINEERING CONFERENCE NAGOYA CONGRESS CENTER, NAGOYA, JAPAN, (2002).
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