Nonsmooth DAEs with Applications in Modeling Phase Changes View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2018

AUTHORS

Peter Stechlinski , Michael Patrascu , Paul I. Barton

ABSTRACT

A variety of engineering problems involve dynamic simulation and optimization, but exhibit a mixture of continuous and discrete behavior. Such hybrid continuous/discrete behavior can cause failure in traditional methods; theoretical and numerical treatments designed for smooth models may break down. Recently it has been observed that, for a number of operational problems, such hybrid continuous/discrete behavior can be accurately modeled using a nonsmooth differential-algebraic equations (DAEs) framework, now possessing a foundational well-posedness theory and a computationally relevant sensitivity theory. Numerical implementations that scale efficiently for large-scale problems are possible for nonsmooth DAEs. Moreover, this modeling approach avoids undesirable properties typical in other frameworks (e.g., hybrid automata); in this modeling paradigm, extraneous (unphysical) variables are often avoided, unphysical behaviors (e.g., Zeno phenomena) from modeling abstractions are not prevalent, and a priori knowledge of the evolution of the physical system (e.g., phase changes experienced in a flash process execution) is not needed. To illustrate this nonsmooth modeling paradigm, thermodynamic phase changes in a simple, but widely applicable flash process are modeled using nonsmooth DAEs. More... »

PAGES

1-33

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  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/11221_2018_7

    DOI

    http://dx.doi.org/10.1007/11221_2018_7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1107154878


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