A filtering and wavelet formulation for incompressible turbulence

Journal of Turbulence

Volumn 1, Issue , 2000, Pages

  Lewalle, Jacques ^a  

^a Syracuse University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17444449195     PISSN: 14685248     EISSN: None     Source Type: Journal    
DOI: 10.1088/1468-5248/1/1/004     Document Type: Article

References (32)

1. Bohr T, Jensen M H, Paladin G and Vulpiani A 1998 Dynamical Systems Approach, to Turbulence (Cambridge: Cambridge University Press)
2. Brasseur J G and Wang Q 1992 Structural evolution of intermittency and anisotropy at different scales analyzed using three-dimensional wavelet transforms Phys. Fluids A 4 2538 54
3. Cambon C, Jeandel D and Mathieu J 1981 Spectral modeling of homogeneous non-isotropic turbulence J. Fluid Mech. 104 247 62
4. Camussi R and Guj G 1997 Orthonormal wavelet decomposition of turbulent flows: intermittency and coherent structures J. Fluid Mech, 348 177 99
5. Daubechies I 1992 Ten Lectures on Wavelets (Philadelphia: SIAM)
6. Farge M 1992 Wavelet transforms and their applications to turbulence Ann. Rev. Fluid Mech. 24 395 457
7. Farge M, Kevlahan N, Perrier V and Goirand E 1996 Wavelets and turbulence Proc. IEEE 84 639 69
8. Schneider K, Kevlahan N K R and Farge M 1997 Comparison of an adaptive wavelet method and nonlinearly filtered pseudospectral methods for two-dimensional turbulence J. Theor. Comput. Fluid Dyn. 9 191 206
9. Farge M, Schneider K and Kevlahan N 1999 Non-Gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthogonal wavelet basis Phys. Fluids 11 2187 201
10. Frisch U 1996 Turbulence: The Legacy of A.N. Kolinogorov (Cambridge: Cambridge University Press)
11. Germano M 1992 Turbulence: the filtering approach J. Fluid Mech. 238 325 36
12. Grossman S and Löhden M 1996 Wavelet, analysis of Navier Stokes flow Z. Phys. B 100 137 47
13. Isakov V 1998 Inverse Problems for Partial Differential Eiquations (Applied Mathematical Sciences vol 127) (New York: Springer)
14. Jiménez, J 2000 Intermittency and cascades J. Fluid Mech. 409 99 120
15. Kraichnan R 1971 An almost-Markovian Galilean-invariant turbulence model J. Fluid Mech. 47 513 24
16. Leith C E 1967 Diffusion approximation to inertial energy transfer in isotropic turbulence Phys. Fluids 20 1409 15
17. Leonard A 1974 Energy cascade in large-eddy simulations of turbulent flows Adv. Geophys. A 18 237 48
18. Lesieur M 1987 Turbulence in Fluids (Dordrecht: Martinus Nijhoff)
19. Leslie D C 1973 Developments in the Theory of Turbulence (Oxford: (Clarendon)
20. Lewalle J 1994 Wavelet, transforms of some equations of fluid mechanics Acta Mech. 104 1 25
21. Lewalle J and Tavlarides L L 1994 A cascade-transport model for turbulent shear flows Phys. Fluids 6 3109 15
22. Lewalle J 1997 Hamiltonian formulation for the diffusion equation Phys. Rev. E 55 1590 9
23. Lewalle J 1998 Formal improvements in the solution of the wavelet-transformed Poisson and diffusion euations J. Math. Phys. 39-4119 28
24. Lewalle J 2000 On a class of solutions for the inverse diffusion problem Appl. Math. Lett. to appear
25. McComb W D 1990 The Physics of Fluid Turbulence (Oxford: Clarendon)
26. Meneveau C 1991 Analysis of turbulence in the orthonorrnal wavelet representation J. Fluid Mech. 232 469 520
27. Morse P M and Feshbach H 1953 Methods of Theoreticl Physics (New York: McGraw-Hill) ch 7
28. Perrier V, Philipovitch T and Basdevant C 1995 Wavelet spectra compared to Fourier spectra J. Math. Phys. 36 1506 19
29. Schiestel R 1987 Multiple-time-scale modeling of turbulent flows in one-point closures Phys. Fluids 30 722 31
30. Vergassola M and Frisch U 1991 Wavelet transforms of self-similar processes Physica D 54 58 64
31. Widder D V 1975 The Heat Equation (New York: Academic)
32. Wyld H W Jr 1961 Formulation of the theory of turbulence in an incompressible fluid Ann. Phys. 14 143 65