The evolution of turbulence theories and the need for continuous wavelets
arxiv(2022)
摘要
In the first part of this article, I summarise two centuries of research on
turbulence. I also critically discuss some of the interpretations that are
still in use, as turbulence remains an inherently non-linear problem that is
still unsolved to this day. In the second part, I tell the story of how Alex
Grossmann introduced me to the continuous wavelet representation in 1983, and
how he instantly convinced me that this is the tool I was looking for to study
turbulence. In the third part, I present a selection of results I obtained in
collaboration with several students and colleagues to represent, analyse and
filter different turbulent flows using the continuous wavelet transform. I have
chosen to present both these theories and results without the use of equations,
in the hope that the reading of this article will be more enjoyable.
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