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.