Symbolic Discretization of Distributed Parameter Process Models on Self-Adaptive Moving Grids

摘要

First principle modeling of chemical processes with distributed parameters leads to partial differential equations (PDEs), which must be preprocessed for application of numerical simulation or optimization algorithms based on differential algebraic equations (DAEs). This contribution presents the symbolic preprocessing tool SyPProT of the simulation environment DIVA in order to apply the Method-of-Lines (MOL) approach to transform PDEs into DAEs. A self-adaptive moving grid method is implemented for MOL discretization by means of finite-difference and finite-volume schemes. The PDE preprocessing is illustrated by an adsorber model.