Abstract
A theory of lattice Boltzmann (LB) models for hydrodynamic simulation is developed upon a novel relation between entropy construction and roots of Hermite polynomials. A systematic procedure is described for constructing numerically stable and complete Galilean invariant LB models. The stability of the new LB models is illustrated with a shock tube simulation.
- Received 12 May 2006
DOI:https://doi.org/10.1103/PhysRevLett.97.190601
©2006 American Physical Society
