On Unconditionally Positivity Preserving and Conservative Methods for Systems of Advection-Diffusion-Reaction Equations |
| |
| Authors: | Matthias K Gobbert Andreas Meister Sven Wallbaum |
| |
| Institution: | 1. Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, MD 21250, U.S.A.;2. Department of Mathematics and Natural Sciences, University of Kassel, D-34132 Kassel, Germany |
| |
| Abstract: | An unconditionally positivity preserving finite difference scheme (UPFD) for systems of advection-diffusion-reaction equations with non-linear reaction terms is proposed. A modified Patankar approach is employed with respect to the reaction part in order to ensure both conservativity and positivity without any additional constraints on the time step size. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| |
| Keywords: | |
|
|
