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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 3, Pages 541–561
DOI: https://doi.org/10.4213/tvp77 (Mi tvp77) 		 
This article is cited in 19 scientific papers (total in 19 papers)

A stochastic differential equation framework for the timewise dynamics of turbulent velocities

O. E. Barndorff-Nielsen, J. Schmiegel

University of Aarhus
Full-text PDF (1969 kB) Citations (19)
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DOI: https://doi.org/10.4213/tvp77
Abstract: We discuss a stochastic differential equation as a modeling framework for the timewise dynamics of turbulent velocities. The equation is capable of capturing basic stylized facts of the statistics of temporal velocity increments. In particular, we focus on the evolution of the probability density of velocity increments, characterized by a normal inverse Gaussian shape with heavy tails for small scales and approximately Gaussian tails for large scales. In addition, we show that the proposed model is in accordance with the experimental verification of Kolmogorov's refined similarity hypotheses.
Keywords: energy dissipation, intermittency, inverse Gaussian distribution, normal inverse Gaussian distribution, refined similarity hypotheses, turbulence.
Received: 01.02.2006
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 3, Pages 372–388
DOI: https://doi.org/10.1137/S0040585X9798316X
Bibliographic databases:
Language: English
Citation: O. E. Barndorff-Nielsen, J. Schmiegel, “A stochastic differential equation framework for the timewise dynamics of turbulent velocities”, Teor. Veroyatnost. i Primenen., 52:3 (2007), 541–561; Theory Probab. Appl., 52:3 (2008), 372–388
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v52/i3/p541
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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