论文信息 - Turbulence Effects on Kinetic Equations

Turbulence Effects on Kinetic Equations

It is well known that fluid dynamics can be derived from a kinetic (Boltzmann equation) framework. Here we propose that the variance of a fluctuating kinetic relaxation time be linked to turbulent time scales. It is further proposed that this connection be explored by direct numerical simulation of turbulence.

[1] P. Bhatnagar,et al. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[2] Raphael Aronson,et al. Theory and application of the Boltzmann equation , 1976 .

[3] Sauro Succi,et al. Analysis of subgrid scale turbulence using the Boltzmann Bhatnagar-Gross-Krook kinetic equation , 1999 .

[4] Yoshitsugu Oono,et al. THE BOLTZMANN EQUATION IS A RENORMALIZATION GROUP EQUATION , 2000 .

[5] S. Orszag,et al. Extended Boltzmann Kinetic Equation for Turbulent Flows , 2003, Science.

[6] J. Boon. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[7] S. Orszag,et al. Expanded analogy between Boltzmann kinetic theory of fluids and turbulence , 2004, Journal of Fluid Mechanics.

[8] Sauro Succi,et al. Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model , 2004 .