Stochastic particle-tracking techniques are effective for simulating strong convection (which is difficult to model by direct numerical solution of the governing equations). In porous media, this situation occurs during high-Peclet number heat and mass transport and during certain high-Damkohler-number reactive flows.

The graphics shown above illustrate steady dissolution of a sphere in a heterogeneous medium at increasing Peclet number. These simulations were used to better understand the functionality of Sh versus Pe equations for packed beds.