Analytic Solutions of Linearized Lattice Boltzmann Equation for Simple Flows
نویسنده
چکیده
A general procedure to obtain analytic solutions of the linearized lattice Boltzmann equation for simple ows is developed. As examples, the solutions for the Poiseuille and the plane Couette ows in two-dimensional space are obtained and studied in detail. The solutions not only have a component which is the solution of the Navier-Stokes equation, they also include a kinetic component which cannot be obtained by the Navier-Stokes equation. The kinetic component of the solutions is due to the nite mean-free-path e ect. Comparison between the analytic results and the numerical results of latticegas simulations is made, and they are found to be in accurate agreement.
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تاریخ انتشار 2003