Thermal Lattice-Boltzmann Models (TLBM) for Compressible Flows.
Thermal Lattice-Boltzmann Models (TLBM) for Compressible
Vahala, G.; Pavlo, P.; Vahala, L.; Martys, N. S.
Discrete Simulation of Fluids, 7th International
Conference. Proceedings. July 14-18, 1998, Oxford,
International Journal of Modern Physics C, Vol. 9, No.
8, 1247-1261, 1998.
compressible fluids; heat transfer; hydrodynamics;
lattice Boltzmann; Rayleigh-Bernard; lattice symmetries;
The progress and challenges in thermal lattice-Boltzmann
modeling are discussed. In particular, momentum and
energy closures schemes are contrasted. Higher order
symmetric (but no longer space filling) velocity
lattices are constructed for both 2D and 3D flows and
shown to have superior stability properties to the stand
(but lower) symmetry lattices. While this decouples the
velocity lattice from the spatial grid, the
interpolation required following free-streaming is just
1D. The connection between fixed lattice vectors and
temperature-dependent lattice vectors (obtained in the
Gauss-Hermite quadrature approach) is discussed. Some
(compressible) Rayleigh-Benard simulations on the 2D
octagonal lattice are presented for extended BGK
collision operators that allow for arbitrary Prandtl