Observer-based data assimilation for time dependent flows on gas networks (C05)

• Subject Area: Mathematics
• Term: since 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186

The goal of this project is to provide state estimates of gas flows in networks by combining data input from nodal measurements and physical understanding of the flow problem encoded in the transient Euler equations and suitable coupling conditions. To this end, we create a twin system to the original system, called “observer”, into which measurement data are fed and study under which conditions the state of the observer converges to the state of the original system. We will study the evolution of solutions along characteristics and investigate the decay of functionals measuring the difference between system state and observer state.

• 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. Jan Giesselmann; Professor Dr. Martin Gugat