Model order reduction of differential algebraic equations arising from the simulation of gas transport networks / Sara Grundel, Lennart Jansen, Nils Hornung, Tanja Clees, Caren Tischendorf, Peter Benner
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Model order reduction of differential algebraic equations arising from the simulation of gas transport networks
Discovery
870491121
URN
urn:nbn:de:gbv:3:2-64220
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, June 26, 2013
Content
1 Online-Ressource (18 Seiten = 0,3 MB) : Diagramme
Edition
Language
eng
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Abstract
Abstract: We explore the Tractability Index of Differential Algebraic Equations (DAEs) that emerge in the simulation of gas transport networks. Depending on the complexity of the network, systems of index~1 or index~2 can arise. We then apply Model Order Reduction (MOR) techniques such as Proper Orthogonal Decomposition (POD) to a network of moderate size and complexity and show that one can reduce the system size significantly. This can be either achieved by directly reducing the original DAE~formulation or by applying MOR to an index-reduced system. First numerical results are reported on.
Series
Max Planck Institute Magdeburg Preprints ; 13-09 ppn:870173030