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

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.