Investigation of a lattice Boltzmann model with a variable speed of sound

TL;DR

This paper explores a lattice Boltzmann model allowing independent variation of the speed of sound, analyzing its effects on nonlinear phenomena and viscosity, with results aligning well with theoretical predictions.

Contribution

It introduces a lattice Boltzmann model with a tunable speed of sound and thoroughly investigates its range and impact on fluid dynamics.

Findings

Good agreement between simulations and theory for sound speed variation

Nonlinear effects onset matches theoretical predictions

Fluid viscosity remains unchanged despite sound speed variations

Abstract

A lattice Boltzmann model is considered in which the speed of sound can be varied independently of the other parameters. The range over which the speed of sound can be varied is investigated and good agreement is found between simulations and theory. The onset of nonlinear effects due to variations in the speed of sound is also investigated and good agreement is again found with theory. It is also shown that the fluid viscosity is not altered by changing the speed of sound.