Numerical Simulation of Transport and Diffusion in Porous Media Using a Particle Sets of Contours Method

In this work a particle sets of contours method is coupled to a streamline technique in order to obtain accurate approximations of transport problems. A modified particle method based on streamlines technique is proposed and some bench tests arising in porous media are then simulated to validate the new method. These results are complemented with the resolution of the diffusion operator in a non conservative form where the non-linear diffusion operator is transformed in a velocity-like term and solved using this new particle method. The diffusion velocity method is then applied to a simple test case and validated using a finite difference scheme.