An alternative approach to simulate transport based on the Master equation

A stochastic particle-in-cell algorithm for advective-diffusive-reactive (A-D-R) transport processes based on a discrete-state Master equation is presented. The Master equation is equivalent to the macroscopic concentration-based partial differential equation. This approach is now being implemented and compared with a previous 3-D Lagrangian particle model of A-D-R processes using the example of Fisher's equation, a second order reaction-diffusion equation.