Gas Networks

We participate in a concerted research effort in the modelling, simulation and optimization of gas networks, with a focus on the challenges arising from the transition from natural gas to hydrogen transport.

We are mostly concerned with models for time dependent gas transport. We have addressed questions such as the derivation of suitable coupling conditions, mesh and model adaptation techniques in numerical simulations and the development and analysis of efficient and structure preserving numerical methods. Currently our research efforts center around handling uncertainty, e.g., due to weather or customer behavior, and estimating system states by data assimilation techniques.

  • Domschke, Kolb, Lang: Fast and Reliable Transient Simulation and Continuous Optimization of Large-Scale Gas Networks, Math. Meth. Oper. Res. (2022)
  • Egger, Giesselmann, Kunkel, Philippi: An asymptotic preserving discretization scheme for gas transport in pipe networks, IMA J. Numer. Anal. (2022)
  • Gugat, Giesselmann, Kunkel: Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks, IMA J. Math. Control. Inf. (2021)
  • Lang, Mindt: Entropy-Preserving Coupling Conditions for One-dimensional Euler Systems at Junctions, Netw. Heterog. Media (2018)