This paper deals with the numerical simulation of three-dimensional gas-particle flow through filters. Typical for filter flows is the deposition of particles on the surfaces of filter material, resulting in irregular shapes of surfaces, which in interaction with the flow field influence the next particle deposition. The investigations have shown that lattice-gas approaches perform very well for such interactive flow around complex surfaces. The approach presently used for the computations of fluid phase is based on an approximation of the Boltzmann equation, called the lattice-BGK. approach. The new kind of boundary conditions fit with the second-order accuracy of the hydrodynamical no-slip conditions on a surface of arbitrary form lying between the nodes of a regular lattice. This simulates in an effective way the viscous incompressible flow with complex boundaries at small Reynolds number. The motion of the solid phase is calculated by means of a Lagrangian approach. This solution concept is demonstrated for gas-particle flow through a model of a fibrous filter. Results are presented for different Stokes numbers to study the influence of hydrodynamics on particle deposition.