Multiscale analysis of the particles on demand kinetic model

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.

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• Convection in multiphase flows using Lattice Boltzmann methods
• Roughness induced boundary slip in microchannel flows
• Consistent Lattice Boltzmann Method
• Particles-on-Demand for Kinetic Theory
• Semi-Lagrangian lattice Boltzmann method for compressible flows