Global methods for stationary and instationary gas transport (A01)

• Subject Area: Mathematics
• Term: since 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186

This project develops and analyzes adaptive methods for solving gas transport problems, including integer decisions, to global optimality. This includes the derivation of convex relaxations of instationary problems, based on Riemann invariants or first-discretize-then-optimize models. Moreover, starting with the stationary case, the mixing of different gases is incorporated, e.g., of hydrogen into natural gas, for gas transport as well as topology optimization. Acyclicity of the flows can be exploited in both contexts.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 154: Mathematical modelling, simulation and optimization using the example of gas networks
• Applicant Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
• Project Heads: Professor Dr. Marc Emanuel Pfetsch; Professor Dr. Stefan Ulbrich