Performance of the Finite Element and Finite Volume Methods for Large Eddy Simulation in Homogeneous Isotropic Turbulence

Authors

  • M. A. Uddin Department of Mathematics, Shahjalal University of Science & Technology, Sylhet
  • C. Kato the University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
  • N. Oshima Hokkaido University, Kita 13 jou Nishi 8 chome, Kita-ku, Sapporo-shi, Hokkaido 060-8628, Japan
  • M. Tanahashi Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan
  • T. Miyauchi Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan

DOI:

https://doi.org/10.3329/jsr.v2i2.2582

Keywords:

Large eddy simulation, Validation, Smagorinsky model, Dynamic Smagorinsky model, Tube-like Vortical Structure, Homogeneous Isotropic Turbulence.

Abstract

Large eddy simulation (LES) in homogeneous isotropic turbulence is performed by using the Finite element method (FEM) and Finite volume vethod (FVM) and the results are compared to show the performance of FEM and FVM numerical solvers. The validation tests are done by using the standard Smagorinsky model (SSM) and dynamic Smagorinsky model (DSM) for subgrid-scale modeling. LES is performed on a uniformly distributed 643 grids and the Reynolds number is low enough that the computational grid is capable of resolving all the turbulence scales. The LES results are compared with those from direct numerical simulation (DNS) which is calculated by a spectral method in order to assess its spectral accuracy. It is shown that the performance of FEM results is better than FVM results in this simulation. It is also shown that DSM performs better than SSM for both FEM and FVM simulations and it gives good agreement with DNS results in terms of both spatial spectra and decay of the turbulence statistics. Visualization of second invariant, Q, in LES data for both FEM and FVM reveals the existence of distinct, coherent, and tube-like vortical structures somewhat similar to those found in instantaneous flow field computed by the DNS.

 

Keywords: Large eddy simulation; Validation; Smagorinsky model; Dynamic Smagorinsky model; Tube-like vortical structure; Homogeneous isotropic turbulence.

 

© 2010 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

DOI: 10.3329/jsr.v2i2.2582              J. Sci. Res. 2 (2), 237-249 (2010)

 

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Author Biographies

M. A. Uddin, Department of Mathematics, Shahjalal University of Science & Technology, Sylhet

M. A. Uddin 

1Department of Mathematics, Shahjalal University of Science & Technology, Sylhet-3114, Bangladesh

 

C. Kato, the University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan

C. Kato

 

Institute of Industrial Science, the University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan

 

N. Oshima, Hokkaido University, Kita 13 jou Nishi 8 chome, Kita-ku, Sapporo-shi, Hokkaido 060-8628, Japan

N. Oshima 

Graduate School of Engineering, Hokkaido University, Kita 13 jou Nishi 8 chome, Kita-ku, Sapporo-shi, Hokkaido 060-8628, Japan.

 

M. Tanahashi, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan

M. Tanahashi

 

Department of Mechanical and Aerospace Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan

 

T. Miyauchi, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan

Department of Mechanical and Aerospace Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan

 

 

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Published

2010-04-26

How to Cite

Uddin, M. A., Kato, C., Oshima, N., Tanahashi, M., & Miyauchi, T. (2010). Performance of the Finite Element and Finite Volume Methods for Large Eddy Simulation in Homogeneous Isotropic Turbulence. Journal of Scientific Research, 2(2), 237–249. https://doi.org/10.3329/jsr.v2i2.2582

Issue

Vol. 2 No. 2 (2010)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

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