Preprint No. MPIMD/13-09
Author(s): Sara Grundel, Lennart Jansen, Nils Hornung, Tanja Clees, Caren Tischendorf, Peter Benner
Email: grundel@mpi-magdeburg.mpg.de
Date: 2013-06-26
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.
BibTeX:
@TECHREPORT{MPIMD13-09,
author = {Sara Grundel and Lennart Jansen and Nils Hornung and Tanja Clees and Caren Tischendorf and Peter Benner},
title = {Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks},
number = {MPIMD/13-09},
month = jun,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}