Performance of stabilized higher-order methods for nonstationary convection-diffusion-reaction equations

Abstract

We study the performance properties of a class of stabilized higher-order finite element approximations of convection-diffusion-reaction models with nonlinear reaction mechanisms. Streamline upwind Petrov-Galerkin (SUPG) stabilization together with anisotropic shock-capturing as an additional stabilization in crosswind-direction is used. We show that these techniques reduce spurious oscillations in crosswind-direction and increase the accuracy of simulations. © 2011 Springer-Verlag.