Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Numerical aspects of model order reduction for gas transportation networks
 Koziel, Slawomir: SimulationDriven Modeling and Optimization : ASDOM, Reykjavik, August 2014 Cham: Springer International Publishing, 2016 (Springer Proceedings in Mathematics & Statistics 153) ISBN: 9783319275154 (Print) ISBN: 9783319275178 (Online) ISBN: 3319275151 pp.128 
 International Workshop on Advances in SimulationDriven Optimization and Modeling (ASDOM) <3, 2014, Reykjavik> 

 English 
 Conference Paper 
 Fraunhofer SCAI () 
 gas network simulation; model order reduction; proper orthogonal decomposition; discrete empirical interpolation method; stiff initialvalue problems 
Abstract
The chapter focuses on the numerical solution of parametrized unsteady Eulerian flow of compressible real gas in pipeline distribution networks. Such problems can lead to large systems of nonlinear equations that are computationally expensive to solve by themselves, more so if parameter studies are conducted and the system has to be solved repeatedly. The stiffness of the problem adds even more complexity to the solution of these systems. Therefore, we discuss the application of model order reduction methods in order to reduce the computational costs. In particular, we apply twosided projection via proper orthogonal decomposition with the discrete empirical interpolation method to exemplary realistic gas networks of different size. Boundary conditions are represented as inflow and outflow elements, where either pressure or mass flux is given. On the other hand, neither thermal effects nor more involved network components such as valves or regulators are considered. The numerical condition of the reduced system and the accuracy of its solutions are compared to the fullsize formulation for a variety of inflow and outflow transients and parameter realizations.