Anomalous scaling in shell model turbulence
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912016824795136 |
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| author | Creswell, James Mukhanov, Viatcheslav Oz, Yaron |
| author_facet | Creswell, James Mukhanov, Viatcheslav Oz, Yaron |
| contents | Shell model turbulence is a simplified mathematical framework that captures essential features of incompressible fluid turbulence such as the energy cascade, intermittency and anomalous scaling of the fluid observables. We perform a precision analysis of shell model of a complex velocity field in the steady state turbulent regime, including a calculation of the leading hundred anomalous scaling exponents, the probability distribution function of the magnitude and phase of the velocity and the correlations among them at different shells. We analyze the tail of velocity distribution function and find that the high moments exhibit a linear scaling that differs from Kolomogorov's. We explain the origin of this asymptotic scaling that offers a new insight to the structure of fluid turbulence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07813 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anomalous scaling in shell model turbulence Creswell, James Mukhanov, Viatcheslav Oz, Yaron Fluid Dynamics High Energy Astrophysical Phenomena Chaotic Dynamics Shell model turbulence is a simplified mathematical framework that captures essential features of incompressible fluid turbulence such as the energy cascade, intermittency and anomalous scaling of the fluid observables. We perform a precision analysis of shell model of a complex velocity field in the steady state turbulent regime, including a calculation of the leading hundred anomalous scaling exponents, the probability distribution function of the magnitude and phase of the velocity and the correlations among them at different shells. We analyze the tail of velocity distribution function and find that the high moments exhibit a linear scaling that differs from Kolomogorov's. We explain the origin of this asymptotic scaling that offers a new insight to the structure of fluid turbulence. |
| title | Anomalous scaling in shell model turbulence |
| topic | Fluid Dynamics High Energy Astrophysical Phenomena Chaotic Dynamics |
| url | https://arxiv.org/abs/2402.07813 |