a 3d model for the numerical simulation of artificial aortic prostheses is presented, considering fluid-structure interaction. the method is based in the general lattice boltzmann equation under a multi-relaxation scheme. stream lines, velocities and shear stresses inside the biological fluid are reported and discussed. technical details of the algorithm are also described. as well, an algorithm for the lb mesh generation is presented and evaluated. numerical results of artificial heart valves in aortic position are reported here, showing the versatility of the proposed approach.