Collection of abstracts 13th GAMM-Seminar Kiel on Numerical Treatment of Multi-Scale Problems January 24th to 26th, 1997.

Friday, January 24th, 1997

COMPUTATION OF GAS-PARTICLE FLOW THROUGH FILTERS BY A LATTICE-BOLTZMANN METHOD

A numerical concept can be presented the investigation of the interaction of fluid flow, particle transport and particle deposition in fibrous filters. Deposited particles (spheres) change the shape of filter material in a very irregular manner, which influences again the flow and the following deposition. The particle transport is calculated by Lagrangian integration together with a model for deposition. Essential difficulties arise with the computation of fluid flow around complex boundaries at low Reynolds numbers and Mach numbers near zero. The Lattice-Boltzmann Method has found to be a suitable to deal with such flows. Presently the gaskinetical Krook (BGK) approximation of the Boltzmann equation is solved for discrete space and molecular velocity on an equidistant grid. By multi-scale analysis it is shown that this model approximates the Navier-Stokes equations of an incompressible fluid. Based on the analysis boundary formulations are derived for fitting arbitrary solid boundaries with second order accuracy. The solution concept is demonstrated by several 2-D and 3-D results.