REFERENCES
- Farge , M. 1992 . Wavelet transforms and their applications to turbulence . Annual Review of Fluid Mechanics , 24 : 395 – 457 .
- Farge , M. , Pellegrino , G. and Schneider , K. 2001 . Coherent vortex extraction in 3D turbulent flows using orthogonal wavelets . Physical Review Letters , 87 ( 5 ) : 054501
- Farge , M. , Schneider , K. , Pellegrino , G. , Wray , A. A. and Rogallo , R. S. 2003 . Coherent vortex extraction in three-dimensional homogeneous turbulence: comparision between CVS-wavelet and POD-Fourier decompositions . Physics of Fluids , 15 ( 10 ) : 2886 – 2896 .
- Schneider , K. , Farge , M. , Pellegrino , G. and Rogers , M. 2005 . Coherent vortex simulation of three–dimensional turbulent mixing layers using orthogonal wavelets . Journal of Fluid Mechanics , 534 : 39 – 66 .
- Farge , M. and Schneider , K. 2001 . Coherent Vortex Simulation (CVS), a semi-deterministic turbulence model using wavelets . Flow, Turbulence and Combustion , 66 ( 4 ) : 393 – 426 .
- Farge , M. , Schneider , K. and Kevlahan , N. 1999 . Non-gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthonormal wavelet basis . Physics of Fluids , 11 ( 8 ) : 2187 – 2201 .
- Donoho , D. 1993 . Unconditional bases are optimal bases for data compression and statistical estimation . Applied and Computational Harmonic Analysis , 1 : 100 – 115 .
- Donoho , D. and Johnstone , I. 1994 . Ideal spatial adaptation via wavelet shrinkage . Biometrika , 81 : 425 – 455 .
- Goldstein , D. E. , Vasilyev , O. V. , Wray , A. A. and Rogallo , R. S. 2000 . Evaluation of the use of second generation wavelets in the coherent vortex simulation approach . Proceedings of Summer Programm . 2000 . pp. pp 293 – 304 . Center for Turbulence Research .
- Goldstein , D. E. and Vasilyev , O. V. 2004 . Stochastic coherent adaptive large eddy simulation method . Physics of Fluids , 16 ( 7 ) : 2497 – 2512 .
- Roussel , O. , Schneider , K. , Tsigulin , A. and Bockhorn , H. 2003 . A conservative fully adaptive multiresolution algorithm for parabolic PDEs . Journal of Computational Physics , 188 ( 2 ) : 493 – 523 .
- Harten , A. 1995 . Multiresolution algorithms for the numerical solution of hyperbolic conservation laws . Communications of Pure and Applied Mathematics , 48 : 1305 – 1342 .
- Cohen , A. 2000 . “ Wavelet methods in numerical analysis ” . In Handbook of Numerical Analysis , Edited by: Ciarlet , P. G. and Lions , J. L. Vol. 7 , Amsterdam : Elsevier .
- Azzalini , A. , Farge , M. and Schneider , K. 2005 . Nonlinear wavelet thresholding: A recursive method to determine the optimal denoising threshold . Applied and Computational Harmonic Analysis , 18 ( 2 ) : 177 – 185 .
- Vincent , A. and Meneguzzi , M. 1991 . The spatial structure and statistical properties of homogeneous turbulence . Journal of Fluid Mechanics , 225 : 1 – 20 .
- Moffatt , H. K. 1985 . Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals . Journal of Fluid Mechanics , 159 : 359 – 478 .