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The Lattice Boltzmann approach for fluid dynamics is used to compute the drag force on various types of obstacles in two-dimensional flows. We study the finite size effects for the drag force on a cylinder and propose a scaling law. Then we consider the hydrodynamic behavior of fractal objects and compare the drag force they experience with that of simpler geometries. Simulation results show that, in 2D, the outer shape of the fractal plays the main role to determine the drag whereas the internal structure has little influence.

Lattice Boltzmann Method to Study Hydrodynamic Properties of 2D Fractal Aggregates