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• W2891101890 endingPage "275" @default.
• W2891101890 startingPage "243" @default.
• W2891101890 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." @default.
• W2891101890 created "2018-09-27" @default.
• W2891101890 creator A5032183493 @default.
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• W2891101890 date "2018-01-01" @default.
• W2891101890 modified "2023-10-17" @default.
• W2891101890 title "Nonsmooth DAEs with Applications in Modeling Phase Changes" @default.
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• W2891101890 doi "https://doi.org/10.1007/11221_2018_7" @default.
• W2891101890 hasPublicationYear "2018" @default.
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