Abstract
In this work, we present an alternative derivation of the Navier-Stokes equations from Bhatnagar-Gross-Krook models of the lattice Boltzmann method with diffusive scaling. This derivation is based on the Maxwell iteration and can expose certain important features of the lattice Boltzmann solutions. Moreover, it will be seen to be much more straightforward and logically clearer than the existing approaches including the Chapman-Enskog expansion.
- Received 28 September 2016
DOI:https://doi.org/10.1103/PhysRevE.95.033311
©2017 American Physical Society
Physics Subject Headings (PhySH)
Fluid Dynamics