تقرير
Fokker-Planck Kinetic description of small-scale fluid turbulence for classical incompressible fluids
| العنوان: | Fokker-Planck Kinetic description of small-scale fluid turbulence for classical incompressible fluids |
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| المؤلفون: | Tessarotto, M., Ellero, M., Sarmah, D., Nicolini, P. |
| سنة النشر: | 2008 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Fluid Dynamics, Physics - Computational Physics |
| الوصف: | Extending the statistical approach proposed in a parallel paper \cite% {Tessarotto2008-aa}, purpose of this work is to propose a stochastic inverse kinetic theory for small-scale hydrodynamic turbulence based on the introduction of a suitable \textit{local phase-space probability density function} (pdf). In particular, we pose the problem of the construction of Fokker-Planck kinetic models of hydrodynamic turbulence. The approach here adopted is based on the so-called IKT approach (inverse kinetic theory), developed by Ellero et al. (2004-2008) which permits an exact phase-space description of incompressible fluids based on the adoption of a local pdf. We intend to show that for prescribed models of stochasticity the present approach permits to determine uniquely the time evolution of the stochastic fluid fields. The stochastic-averaged local pdf is shown to obey a kinetic equation which, although generally non-Markovian, locally in velocity-space can be approximated by means of a suitable Fokker-planck kinetic equation. As a side result, the same pdf is proven to have generally a non-Gaussian behavior. Comment: Contributed paper at RGD26 (Kyoto, Japan, July 2008) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1063/1.3076468 |
| URL الوصول: | http://arxiv.org/abs/0806.4931 |
| رقم الأكسشن: | edsarx.0806.4931 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1063/1.3076468 |
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