Comment on the paper J. G. Zhou, Rectangular lattice Boltzmann method, Phys. Rev. E 81, 026705 (2010)
Shyam Chikatamarla, Ilya Karlin
TL;DR
This paper critically examines a rectangular lattice Boltzmann method, demonstrating it introduces anisotropic dissipation and fails to recover Navier-Stokes equations, thus limiting its use in hydrodynamic simulations.
Contribution
It provides an analytical and numerical critique showing the limitations of the rectangular lattice Boltzmann model for fluid dynamics.
Findings
The model causes anisotropic dissipation of momentum.
It does not recover Navier-Stokes equations.
The method is unsuitable for hydrodynamic simulations.
Abstract
It is shown both analytically and numerically that the suggested lattice Boltzmann model on rectangular grids leads to anisotropic dissipation of fluid momentum and thus it does not recover Navier-Stokes equations. Hence, it cannot be used for the simulation of hydrodynamics.
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Taxonomy
TopicsLattice Boltzmann Simulation Studies · Fluid Dynamics and Turbulent Flows · Model Reduction and Neural Networks