| 日時： |
2003年11月25日（火） 11：00〜 |
| 場所： |
京都大学大学院工学研究科 航空宇宙工学専攻 2階 会議室 |
| 講演者： |
Dr. Mohammed Lemou (Mathématiques pour l'Industrie et la Physique, Université Paul Sabatier - Toulouse 3, Toulouse, France) |
| 講演題目： |
Turbulence models for incompressible flows derived from kinetic theory |
| 講演要旨： |
We propose a derivation of incompressible turbulence models from kinetic theory. The kinetic model involves a collision operator which relaxes the distribution function of the fluid structures to its isotropic part. In a first step, we perform a Chapman-Enskog expansion and write the equations satisfied by the isotropic part of the distribution function. Then we determine the expression of the relaxation time in such a way that both the Kolmogorov law (in a turbulent regime) and the molecular viscosity law (in the viscous regime) are satisfied. In a second step, we apply a moment method with a minimisation entropy principle to derive macroscopic turbulence models. In particular the approach is able to produce k-ε-like models from kinetic theory. |
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