LATTICE BOLTZMANN METHOD ON IRREGULAR MESHES

A finite-volume scheme for the lattice Boltzmann method (FVLBM) is des cribed. The scheme uses a finite-volume formulation based on triangula r elements in two dimensions and is implemented assuming that velocity space is isotropically discretized at each node in position space. Th e accuracy of the finite-volume scheme is numerically demonstrated by comparing the computed macroscopic velocity field with the exact solut ion of the Navier-Stokes equations for the flow of an incompressible f luid between two relatively rotating cylinders. The FVLBM scheme is ap plicable to irregular two-dimensional regions which contain both exter ior and interior boundaries of arbitrary shape. Thus, the range of app licability of systems to which the FVLBM may be applied is seen to be significantly extended. [S1063-651X(98)51810-7].