Takaji Inamuro | PubMed Health

PubMed2004

A lattice kinetic scheme for bubble flows.

A lattice kinetic scheme for two-phase immiscible fluids with large density ratios is presented. The difficulty in the treatment of large density ratio is resolved by using the projection method. The method can simulate two-phase fluid flows with a density ratio up to 1000. The method is applied to the simulation of many bubbles rising in a long square duct. The complicated unsteady structures of the interface and the velocity field can be simulated in a stable manner.

Journal Article↗

PubMed2002

A lattice kinetic scheme for incompressible viscous flows with heat transfer.

A lattice kinetic scheme for incompressible viscous flows with heat transfer is developed based on the lattice Boltzmann method. In the new scheme, macroscopic variables are calculated without velocity distribution functions. Thus, the scheme can save computer memory because there is no need to store the velocity distribution functions. Governing equations for the macroscopic variables are obtained by applying the asymptotic theory. The continuity equation, the Navier-Stokes equations, and the convection-diffusion equation for fluid temperature are obtained with relative errors of O(epsilon2), where epsilon is a small parameter that is of the same order as a lattice spacing and is related to a relaxation parameter. In order to verify the accuracy of the scheme, natural convection flows in a square cavity are simulated, and the calculated results are in good agreement with available standard results.

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