# Bulk and shear viscosities in lattice Boltzmann equations.

@article{Dellar2001BulkAS, title={Bulk and shear viscosities in lattice Boltzmann equations.}, author={Paul J. Dellar}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2001}, volume={64 3 Pt 1}, pages={ 031203 } }

Lattice Boltzmann equations (LBE) are a useful tool for simulating the incompressible Navier-Stokes equations. However, LBE actually simulate a compressible but usually isothermal fluid at some small but finite Mach number. There has been recent interest in using LBE at larger, but still subsonic, Mach numbers, for which the viscous terms in the resulting momentum equation depart appreciably from those in the compressible Navier-Stokes equations. In particular, the isothermal constraint implies…

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