The RTM/LRI-like processes have gained popularity in the preparation of fibrereinforced polymer matrix composites because of their high efficiency, low pollution and good reproducibility. With the industry willing to produce more and more complex shape parts with a high fiber volume fraction, void formation is still an open problem in term of prediction. Furthermore, simulation of infusion processes with high permeability draining mediums and very low permeability fabrics is an issue. In this paper, we propose to apply the Constrained Natural Element Method to the resolution of both Stokes and Brinkman equations with flow front progression.