The nonlinear stability of thermal lattice BGK models is examined by means of computer simulation for the case of one- and two- dimensional compressible flows. It is shown that in one dimension (1D) the method is stable on a sizeable range of flow speeds and temperatures. In two dimensions (2D) the method is stable even in the presence of negative distribution functions, but on a smaller stability domain. The computational efficiency of the method compares favorably with classical algorithms for compressible flows, such as the λ-scheme and the Lax--Wendroff scheme.
No takes yet. Share an insight, caveat, or question.
Cicco et al. (1999) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: