Course 9: Analysing and Computing Turbulent Flows Using Wavelets
Abstract
Contents 1 Introduction I Wavelet Transforms 2 History 3 The continuous wavelet transform 3.1 One dimension 3.2 Higher dimensions 3.3 Algorithm 4 The orthogonal wavelet transform 4.1 One dimension 4.2 Higher dimensions 4.3 Algorithm II Statistical Analysis 5 Classical tools 5.1 Methodology 5.2 Averaging procedure 5.3 Statistical diagnostics 6 Statistical tools based on the continuous wavelet transform 6.1 Local and global wavelet spectra 6.2 Relation with Fourier spectrum 6.3 Application to turbulence 7 Statistical tools based on the orthogonal wavelet transform 7.1 Local and global wavelet spectra 7.2 Relation with Fourier spectrum 7.3 Intermittency measures III Computation 8 Coherent vortex extraction 8.1 CVS filtering 8.2 Application to a 3D turbulent mixing layer 8.3 Comparison between CVS and LES filtering 9 Computation of turbulent flows 9.1 Navier-Stokes equations 9.2 Classical numerical methods 9.3 Coherent Vortex Simulation (CVS) 10 Adaptive wavelet computation 10.1 Adaptive wavelet scheme for nonlinear PDE's 10.2 Adaptive wavelet scheme for the 2D Navier-Stokes equations 10.3 Application to a 2D turbulent mixing layer IV Conclusion
- Publication:
-
New Trends in Turbulence
- Pub Date:
- 2001
- Bibcode:
- 2001ntt..conf..449F