An Onsager-like Relation for the Lattice Boltzmann Method
Wen-an Yong
TL;DR
This paper introduces an Onsager-like relation as a new criterion for designing and analyzing lattice Boltzmann models, improving understanding of their stability, diffusive limits, and parameter constraints.
Contribution
It proposes a novel Onsager-like relation that enhances the construction and analysis of lattice Boltzmann methods, with implications for stability and parameter constraints.
Findings
Analyzes linearized stability of LB models obeying the relation
Establishes the diffusive limit for these models
Identifies new constraints for models with free parameters
Abstract
An Onsager-like relation is proposed as a new criterion for constructing and analysing the lattice Boltzmann (LB) method. For LB models obeying the relation, we analyse their linearized stability, establish their diffusive limit, and find new constraints for those with free parameters. The new relation seems of fundamental importance for the LB method.
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Taxonomy
TopicsLattice Boltzmann Simulation Studies · Generative Adversarial Networks and Image Synthesis · Image and Signal Denoising Methods