Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media

摘要

In this paper we study first and higher order finite volume methods for the approximation of reactive systems of transport equations. For the first order scheme an a posteriori error estimate is derived which generalizes the result of [24], as also nonlinear adsorption is taken into account. Based on the a posteriori result, we define strategies for grid adaptation for both methods. Numerical results show the efficiency of the adaptive higher order method, in particular in comparison with first order schemes on uniform computational grids.