Coherent vortex simulation of three-dimensional turbulent mixing layers using orthogonal wavelets

Journal of Fluid Mechanics

Volumn 534, Issue , 2005, Pages 39-66

  Schneider, Kai ^a   Farge, Marie ^b   Pellegrino, Giulio ^a,c   Rogers, Michael M ^d  

^a AIX MARSEILLE UNIVERSITY   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c UNIVERSITY OF KARLSRUHE   (Germany)

^d NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DYNAMICS; FOURIER TRANSFORMS; LOW PASS FILTERS; MATHEMATICAL MODELS; MIXING; PROBABILITY DISTRIBUTIONS; TURBULENT FLOW;

BACKGROUND FLOWS; COHERENT VORTEX SIMULATION (CVS); ENERGY SPECTRUM; LARGE-EDDY SIMULATIONS (LES);

VORTEX FLOW;

TURBULENT FLOW; VORTEX;

EID: 22244469770     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112005004234     Document Type: Article

References (19)

1. Brown, G. L. & Roshko, A. 1974 On density effects and large structures in turbulent mixing layers. J. Fluid Mech. 64, 775-816.
2. Comte, P., Lesieur, M. & Lamballais, E. 1992 Large- and small-scale stirring of vorticity and passive scalar in a 3-d temporal mixing layer. Phys. Fluids A 4, 2761-2778.
3. Daubechies, I. 1992 Ten Lectures on Wavelets. SIAM, CBMS-NSF Conference Series in Applied Mathematics, vol. 61. Philadelphia.
4. Donoho, D. 1993 Unconditional bases are optimal bases for data compression and statistical estimation. Appl. Comput. Harmon. Anal. 1, 100-115.
5. Donho, D. & Johnstone, I. 1994 Ideal spatial adaption via wavelet shrinkage. Biometrica 81, 425-455.
6. Farge, M. 1992 Wavelet transforms and their applications to turbulence. Annu. Rev. of Fluid Mech. 24, 395-457.
7. Farge, M., Pellegrino, G. & Schneider, K. 2001 Coherent vortex extraction in 3D turbulent flows using orthogonal wavelets. Phys. Rev. Lett. 87(5), 45011-45014.
8. Farge, M. & Schneider, K. 2001 Coherent Vortex Simulation (CVS), a semi-deterministic turbulence model using wavelets. Flow, Turbulence Combust. 66, 393-426.
9. Farge, M., Schnieder, K. & Kevlahan, N. 1999 Non-Gaussianity and Coherent Vortex Simulation for two-dimensional turbulence using an adaptive orthonormal wavelet basis. Phys. Fluids 11, 2187-2201.
10. Farge, M., Schneider, K., Pellegrino, P., Wray, A. & Rogallo, B. 2003 Coherent vortex extraction in three-dimensional homogeneous turbulence: Comparison between CVS-wavelet and POD-Fourier decompositions. Phys. Fluids 15, 2886-2896.
11. Fröhlich, J. & Schneider, K. 1999 Computation of decaying turbulence in an adaptive wavelet basis. Physica D 134, 337-361.
12. Ho, C.-M. & Huerre, P. 1984 Perturbed free shear layers. Annu. Rev. Fluid. Mech. 16, 365-424.
13. Lemarié, P. G. 1992 Analyses multirésolutions non orthogonales, commutation entre projecteurs de dérivation et ondelettes à divergence nulle. Revista Mat. Iberoamericana 8, 221-236.
14. Liandrat, J. & Tchamitchian, P. 1990 Resolution of the 1D regularized Burgers equation using a spatial wavelet approximation: algorithm and numerical results. ICASE Rep. 90-83.
15. Rogers, M. & Moser, R. 1994 Direct simulation of a self-similar turbulent mixing layer. Phys. Fluids 6, 903-923.
16. Roussel, O., Schneider, K., Tsigulin, A. & Bockhorn, H. 2003 A conservative fully adaptive multiresolution algorithm for parabolic PDEs. J. Comput. Phys. 188, 493-523.
17. Schneider, K. & Farge, M. 2000 Numerical simulation of temporally growing mixing layer in an adaptive wavelet basis. C. R. Acad. Sci. Paris II b, 328, 263-269.
18. Schneider, K. & Farge, M. 2002 Adaptive wavelet simulation of a flow around an impulsively started cylinder using penalisation. Appl. Comput. Harm. Anal. 12, 374-380.
19. Winckelmans, G. S. 1995 Some progress in large-eddy simulation using the 3D vortex particle method. CTR Annual Research Briefs, pp. 391-415.