Numerical Simulation of a Model for Transport and Reaction of Radionuclides

In the last years the interest in computer simulations of radioactive waste scenarios has increased. In this article we present numerical simulations with the software package TRAPRO. We consider a system of convection-diffusion-reaction-equations, that we coupled by their reaction terms. We present a new discretization method that improves the explicit discretization for the transportand reaction-term. The method should replace the previous decoupled implicit method with an operator-splitting method by an explicit coupled method between transport and reaction. For analyzing the method we reduce our model to a simpler system of convection-reaction-equations. The numerical results will be compared with the exact solutions. With a test example we illustrate results of our recent research on this subject.