Asymptotic freedom in the lattice Boltzmann theory

2023/08/06 by Hosseini, Seyed Ali, Karlin, Ilya · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2308.03034

Abstract

Asymptotic freedom is a feature of quantum chromodynamics that guarantees its well-posedeness. We derive an analog of asymptotic freedom enabling unconditional stability of lattice Boltzmann simulation of hydrodynamics. For the lattice Boltzmann models of nearly-incompressible flow, we show that the equilibrium based on entropy maximization is uniquely renormalizable. This results in a practical algorithm of constructing unconditionally stable lattice Boltzmann models.

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