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MOSAIC: An online modeling platform supporting automatic discretization of partial differential equation systems

Esche, Erik; Müller, David; Tolksdorf, Gregor; Kraus, Robert; Wozny, Günter

FG Dynamik und Betrieb technischer Anlagen

Partial differential algebraic equation systems (PDAE) frequently appear in chemical engineering and their discretization is most often an issue when preparing a simulation wherein they appear. In this contribution, an algorithm is presented and implemented facilitating the general analysis of PDAE systems appearing often in chemical engineering problems and their discretization via orthogonal collocation on finite elements. The recognition of differentiating variables, the application of varying boundary conditions, and the subdivision into independent PDAE systems as well as the implementation of the actual discretization is discussed.