Extended Boltzmann Kinetic Equation for Turbulent Flows

Author:

Chen Hudong1234,Kandasamy Satheesh1234,Orszag Steven1234,Shock Rick1234,Succi Sauro1234,Yakhot Victor1234

Affiliation:

1. EXA Corporation, 450 Bedford Street, Lexington, MA 02420, USA.

2. Department of Mathematics, Yale University, New Haven, CT 06520, USA.

3. Istituto Applicazioni Calcolo, CNR, Viale del Policlinico 137, 00161 Roma, Italy.

4. Department of Aerospace and Mechanical Engineering, Boston University, Boston, MA 02215, USA.

Abstract

Complex fluid physics can be modeled using an extended kinetic (Boltzmann) equation in a more efficient way than using the continuum Navier-Stokes equations. Here, we explain this method for modeling fluid turbulence and show its effectiveness with the use of a computationally efficient implementation in terms of a discrete or “lattice” Boltzmann equation.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference38 articles.

1. L. Boltzmann, Sitzungber. Kais. Akad. Wiss. Wien Math. Naturwiss. Classe66, 275 (1872).

2. Theory and Application of the Boltzmann Equation 1975

3. The Mathematical Theory of Non-Uniform Gases 1952

4. Fluid Mechanics 1987

5. Turbulence The Legacy of A. Kolmogorov 1996

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