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Updated: Apr 22, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Gibbs' principle for the lattice-kinetic theory of fluid dynamics
I V Karlin1, F Bösch1, S S Chikatamarla1
1Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.
Abstract:
Gibbs' seminal prescription for constructing optimal states by maximizing the entropy under pertinent constraints is used to derive a lattice kinetic theory for the computation of high Reynolds number flows. The notion of modifying the viscosity to stabilize subgrid simulations is challenged in this kinetic framework. A lattice Boltzmann model for direct simulation of turbulent flows is presented without any need for tunable parameters and turbulent viscosity. Simulations at very high Reynolds numbers demonstrate a major extension of the operation range for fluid dynamics.
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