Multiscale analysis of the particles on demand kinetic model

TL;DR

This paper conducts a multiscale analysis of the particles on demand kinetic model, deriving its hydrodynamic limit while accounting for local reference frames, and confirms findings through numerical simulations.

Contribution

It generalizes the Chapman-Enskog analysis for lattice Boltzmann models by incorporating local reference frames and validates the theory with simulations.

Findings

Hydrodynamic limit derived for the model

Effect of local reference frames analyzed

Numerical simulations confirm theoretical predictions

Abstract

We present a thorough investigation of the particles on demand kinetic model. After a brief introduction of the method, an appropriate multiscale analysis is carried out to derive the hydrodynamic limit of the model. In this analysis, the effect of the time-space dependent comoving reference frames are taken into account. This could be regarded as a generalization of the conventional Chapman-Enskog analysis applied to the lattice Boltzmann models which feature global constant reference frames. Further simulations of target benchmarks provide numerical evidence confirming the theoretical predictions.