DIRECT ANALYSIS OF PARTICULATE SUSPENSIONS WITH INERTIA USING THE DISCRETE BOLTZMANN-EQUATION

An efficient and robust computational method, based on the lattice-Bol tzmann method, is presented for analysis of impermeable solid particle (s) suspended in fluid with inertia. In contrast to previous lattice-B oltzmann approaches, the present method can be used for any solid-to-f luid density ratio. The details of the numerical technique and impleme ntation of the boundary conditions are presented. The accuracy and rob ustness of the method is demonstrated by simulating the flow over a ci rcular cylinder in a two-dimensional channel, a circular cylinder in s imple shear flow, sedimentation of a circular cylinder in a two-dimens ional channel, and sedimentation of a sphere in a three-dimensional ch annel. With a solid-to-fluid density ratio close to one, new results f rom two-dimensional and three-dimensional computational analysis of dy namics of an ellipse and an ellipsoid in a simple shear flow, as well as two-dimensional and three-dimensional results for sedimenting ellip ses and prolate spheroids, are presented.