@misc{wilmers_simulation_of_2014, author={Wilmers, J., Bargmann, S.}, title={Simulation of non-classical diffusion in polymers}, year={2014}, howpublished = {journal article}, doi = {https://doi.org/10.1007/s00231-014-1365-6}, abstract = {The present contribution is concerned with the computational modelling of non-classical diffusion in amorphous polymers. Special attention is paid to the limiting case of Case II diffusion. Application of the dual-phase-lag concept to Fick’s first law leads to a description of Case II behaviour. The change in material properties during the glass transition is explicitly accounted for by a concentration dependent formulation of the material parameters. The proposed model is well suited for modelling the sharp diffusion front and linear uptake kinetics associated with Case II diffusion. Application of a concentration dependent diffusion coefficient reduces the concentration gradient behind the front to a minimum. For the solution procedure, a finite element scheme in space and a finite difference method in time are applied. Three-dimensional numerical results are presented for classical Fickian and non-classical Case II diffusion. This paper adds to the basic understanding of the computational modelling of the Case II diffusion phenomenon.}, note = {Online available at: \url{https://doi.org/10.1007/s00231-014-1365-6} (DOI). Wilmers, J.; Bargmann, S.: Simulation of non-classical diffusion in polymers. Heat and Mass Transfer. 2014. vol. 50, no. 11, 1543-1552. DOI: 10.1007/s00231-014-1365-6}}