Topological solvability analysis and its application to liquid flow networks coupled to Functional Mock-up Units

Ann-Kristin Baum*, M. Kolmbauer, Günter Offner, Bernhard Pöchtrager

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We present a unified topological analysis for physical networks coupled to black-box models. While the governing equations of the physical network are derived by representing the network as a linear graph, the equations of the black-box model are characterized as an abstract class of Differential-Algebraic equations (DAEs) of a specific form (Functional Mock-up Unit). Combining those two representations, existence and uniqueness results can be formulated based on the connectivity of the physical network and a concrete classification of the black-box models. This is the natural extension of the approach derived in [3].
Original languageEnglish
Article numbere201900054
JournalProceedings in Applied Mathematics and Mechanics
Volume19
Issue number1
Publication statusPublished - 2019
EventGAMM 2019: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - Vienna, Austria
Duration: 18 Feb 201922 Feb 2019

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