Flux-limiting solution techniques for simulation of reaction-diffusion-convection system

The aim of this work is to analyze the use of a number of flux-limiters to simulate numerically the behavior of a homogeneous tubular reactor which exhibits steep moving fronts. The strength and limitations of five different flux-limiters are examined for different test cases. All flux-limiters are found successful in capturing the steep concentration profiles. The simulations show that the minmod and MUSCL flux-limiter are more appropriate for the convection-diffusion case. On the other hand, the superbee limiter shows the best performance in capturing discontinuities in the convection-diffusion-reaction case. (C) 2005 Elsevier B.V. All rights reserved.