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• W2298424669 abstract "Abstract To reliably solve PDAE models in established equation-oriented modeling environments (i) certain mathematical properties are to be fulfilled and (ii) the specified initial- and boundary conditions are to be consistent. For an assessment of both of these aspects an important theoretical framework is the concept of index. In this contribution we propose a new method for a systematic index reduction of quasi-linear PDAE systems. The general idea is to reveal quasi-linear combinations of the differential quantities in the high-index model which are invariant with respect to a specific independent variable. By using these quasi-linear combinations as templates for symbolic manipulations, additional algebraic constraints become explicit. These explicit constraints are then used for index reduction yielding low-index PDAE models. The procedure is demonstrated in the context of a typical modeling work-flow for modeling problems of a tubular reactor, diffusive charge transport in electrolyte mixtures and incompressible fluid flow." @default.
• W2298424669 created "2016-06-24" @default.
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• W2298424669 date "2016-06-01" @default.
• W2298424669 modified "2023-09-26" @default.
• W2298424669 title "Index analysis and reduction of systems of quasi-linear partial-differential and algebraic equations" @default.
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• W2298424669 doi "https://doi.org/10.1016/j.compchemeng.2016.02.007" @default.
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