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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2209.01808 |
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| _version_ | 1866910359429840896 |
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| author | Farge, Marie |
| author_facet | Farge, Marie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01808 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The evolution of turbulence theories and the need for continuous wavelets Farge, Marie Fluid Dynamics Numerical Analysis 76F02, 42C40, 01A61 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. |
| title | The evolution of turbulence theories and the need for continuous wavelets |
| topic | Fluid Dynamics Numerical Analysis 76F02, 42C40, 01A61 |
| url | https://arxiv.org/abs/2209.01808 |