4. Conclusion

Mathematical modeling of a physical phenomenon involves trying to "mimic", to imitate the behavior of a real system. The more complex the system, such as turbulence, the more difficult this "imitation" becomes. The rapid development of computer technology has made it possible to carry out increasingly powerful calculations and numerical simulations, but the level of complexity is such that we still don't have a good understanding of turbulence. Despite a roughly correct statistical description under certain assumptions, the role of observed structures in turbulent flows is still not well determined. Decompositions based on time-scale analyses, and in particular wavelet packets, enable us to separate structures with different behaviors in the flow: vortices and vorticity filaments. This separation reveals that these structures have energy spectra verifying power laws, indicating cascades...