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Mathematical Physics

Title: Asymptotic freedom in the lattice Boltzmann theory

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.
Subjects: Mathematical Physics (math-ph)
Cite as: arXiv:2308.03034 [math-ph]
  (or arXiv:2308.03034v1 [math-ph] for this version)

Submission history

From: Seyed Ali Hosseini [view email]
[v1] Sun, 6 Aug 2023 06:43:51 GMT (87kb,D)

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