Wavelet-based statistics of energy transfer in high-resolution direct numerical simulation of three-dimensional homogeneous isotropic turbulence

Journal of Turbulence

Volumn 9, Issue , 2008, Pages 1-25

  Yoshimatsu, Katsunori ^a   Okamoto, Naoya ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

Energy transfer; High Reynolds number turbulence; Homogeneous isotropic turbulence; Scale by scale spatial correlation; Wavelet analysis

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; ENERGY TRANSFER; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENCE; WAVELET ANALYSIS;

COMPUTER SIMULATION; CORRELATION; DECOMPOSITION ANALYSIS; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; SPATIAL ANALYSIS; THREE-DIMENSIONAL FLOW; TURBULENCE; WAVELET ANALYSIS;

EID: 58049159619     PISSN: None     EISSN: 14685248     Source Type: Journal    
DOI: 10.1080/14685240802577861     Document Type: Article

References (30)

1. Farge, M. and Sadourny, R. (1989) Wave-vortex dynamics in rotating shallow water. J. Fluid Mech., 206, pp. 433-462.
2. Meneveau, C. (1991) Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech., 232, pp. 469-520.
3. Dunn, D. C. and Morrison, J. F. (2003) Anisotropy and energy flux in wall turbulence. J. Fluid Mech., 491, pp. 353-378.
4. Dunn, D. C. and Morrison, J. F. (2005) Analysis of the energy budget in turbulent channel flow using orthogonal wavelets. Comput. Fluids, 34, pp. 199-224.
5. Farge, M. (1992) Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech., 24, pp. 395-457.
6. Addison, P. S. (2002) The Illustrated Wavelet Transform Handbook, Institute of Physics Publishing, Bristol
7. Kraichnan, R. H. (1976) Eddy viscosity in two and three dimensions. J. Atmos. Sci., 33, pp. 1521-1536.
8. Domaradzki, J. A., Liu, W. and Brachet, M. E. (1993) An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence. Phys. Fluids A, 5, pp. 1747-1759.
9. J.A., Domaradzki and D., Carati (2007) An analysis of the energy transfer and the locality of nonlinear interactions in turbulence, 19, Phys. Fluids
10. Farge, M. and Schneider, K. (2001) Coherent vortex simulation (CVS), a semi-deterministic turbulence model using wavelets. Flow Turbul. Combust., 66, pp. 393-426.
11. M., Yokokawa (2002) 16.4TFlops direct numerical simulation of turbulence by a Fourier spectral method on the Earth Simulator, p. 50. sc
12. Y., Kaneda (2003) Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box. Phys. Fluids, 15, pp. L21-L24.
13. 3, National Institute for Fusion Science Report No. NIFS-590, Toki
14. Kaneda, Y. and Ishihara, T. (2006) High-resolution direct numerical simulation of turbulence. J. Turbul., 7:20, pp. 1-17.
15. T., Ishihara (2007) Small-scale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics. J. Fluid Mech., 592, pp. 335-366.
16. K., Kishida (1999) Local or nonlocal? Orthonormal divergence-free wavelet analysis of nonlinear interactions in turbulence. Phys. Rev. Lett., 83, pp. 5487-5490.
17. Iima, M. and Toh, S. (1995) Wavelet analysis of the energy transfer caused by convective terms: Application to the Burgers shock. Phys. Rev. E, 52, pp. 6189-6201.
18. Waleffe, F. (1992) The nature of triad interactions in homogeneous turbulence. Phys. Fluids A, 4, pp. 350-363.
19. Daubchies, I. (1992) Ten Lectures on Wavelets, SIAM, Philadelphia
20. T., Aoyama (2005) Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box. J. Phys. Soc. Jpn, 74, pp. 3202-3212.
21. P.D., Mininni, A., Alexakis and A., Pouquet (2006) Large-scale flow effects, energy transfer, and self-similarity on turbulence. Phys. Rev. E, 74
22. P.D., Mininni, A., Alexakis and A., Pouquet (2008) Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws. Phys. Rev. E, 77
23. Y., Li and C., Meneveau (2005) Origin of non-Gaussian statistics in hydrodynamic turbulence. Phys. Rev. Lett., 95
24. M., Farge, G., Pellegrino and K., Schneider (2001) Coherent vortex extraction in 3D turbulent flows using orthogonal wavelets. Phys. Rev. Lett., 87
25. Farge, M. (2003) Coherent vortex extraction in three-dimensional homogeneous turbulence: Comparison between CVS-wavelet and POD-Fourier decompositions. Phys. Fluids, 15, pp. 2886-2896.
26. N., Okamoto (2007) Coherent vortices in high resolution direct numerical simulation of homogeneous isotropic turbulence: A wavelet viewpoint. Phys. Fluids, 19
27. K., Schneider (2005) Coherent vortex simulation of three-dimensional turbulent mixing layers using orthogonal wavelets. J. Fluid Mech., 534, pp. 39-66.
28. Kishida, K. and Araki, K. (2003) Proc. Int. Workshop on Statistical Theories and Computational Approaches to Turbulence. Orthonormal divergence-free wavelet analysis of spatial correlation between kinetic energy and nonlinear transfer in turbulence, pp. 248-259. Springer, Tokyo
29. J.V., Joshi and D., Rempfer (2007) Energy analysis of turbulent channel flow using biorthogonal wavelets. Phys. Fluids, 19
30. Okamoto, N. and Yoshimatsu, K. (2008) IUTAM Symp. on Computational Physics and New Perspectives in Turbulence: Proc. IUTAM Symp. Held in Nagoya, Japan, 11-14 September 2006 (Fluid Mech. Appl.). Wavelet-based statistics of energy transfer in high Reynolds number three-dimensional homogeneous isotropic turbulence, pp. 155-160. Springer, Dordrecht