SIMULATION OF MICROFLOWS USING THE LATTICE BOLTZMANN METHOD ON NONUNIFORM MESHES

چکیده مقاله

ABSTRACT In the recent past, the lattice Boltzmann method (LBM) has attracted considerable attention in science and engineering as a potential computational tool for solving a large class of problems such as flows in microgeometries. In this work, a compressible LBM in conjunction with the explicit Taylor-series expansion and least squares-based lattice Boltzmann method (TLLBM) is used to simulate two-dimensional microflows. The TLLBM is based on the standard LBM with an introduction of the Taylor-series expansion and least squares approach. The final equation is in an explicit form and essentially has no restriction on mesh structure and lattice model. To validate the method, both a lid-driven microcavity flow and microchannel flow at different Knudsen numbers are considered. Numerical results obtained by this method agree very well with the data available in the literature.