Solution of the convection-dispersion-reaction equation by a sequencing method

A new approach for solving convection-diffusion-reaction equations is presented. The method is based on the separation of the different phenomena. At each time step, convection, diffusion and reaction are applied successively on the reactor mesh. This sequencing method allows us to solve both hyperbolic and parabolic equations and to extend the frequency response of the numerical solution. Simulation results are given for linear and nonlinear reaction kinetics. These are compared with the exact solution for the high diffusion case and with up-wind finite difference methods for all cases. (C) 2002 Elsevier Science Ltd. All rights reserved