Asymptotic preserving Galerkin methods for gas mixture equations (C09#)

• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186

This project is concerned with modeling and numerical analysis for thermodynamically consistent inviscid gas equations for binary mixtures in pipes with wall friction. We investigate general pressure laws and the underlying structure of mixture equations. The aim is to identify entropy stable models which for suitable coupling conditions extend to networks. For those we develop a numerical scheme that is asymptotic preserving in the high friction and low Mach number limit. Furthermore, for a single component flow with nonlinear friction law we contribute to the analysis of this limit.

• 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 Head: Professorin Dr. Tabea Tscherpel