On the generation of a hexagonal collision model for the Boltzmann equation. (English) Zbl 1151.76567
Summary: In this article we prove the existence of two different classes of regular hexagons in the hexagonal grid on \(\mathbb R^2\). We develop a generalized layer-wise construction of a hexagonal discrete velocity model called a \(N\)-layer model and derive general formulae to identify all regular hexagons belonging to the grid. We also present some numerical results based on the hexagonal grid.
MSC:
76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |