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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
VerfasserGrundel, Sara ; Jansen, Lennart ; Hornung, Nils ; Clees, Tanja ; Tischendorf, Caren ; Benner, Peter
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, June 26, 2013
Umfang1 Online-Ressource (18 Seiten = 0,3 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 13-09
URNurn:nbn:de:gbv:3:2-64220 
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Model order reduction of differential algebraic equations arising from the simulation of gas transport networks [0.3 mb]
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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.