A Catalog of Gas Network Models: PDEs, Coupling Conditions, and Numerical Schemes
- This document aims to provide a concise and clear introduction to the topic of gas flow modeling. We present several models for gas flow, organized into hierarchies based on complexity. We discuss in detail the modeling of individual components such as valves and compressors. Network model classes based on purely algebraic relations and energy-based port-Hamiltonian models are included, along with a brief overview of basic numerical methods for hyperbolic balance laws and port-Hamiltonian systems. We do not claim completeness and refer in many places to the existing literature.
| Author: | Tobias Breiten, Attila Karsai, Volker Mehrmann, Pia Domschke, Jan Giesselmann, Jens Lang, Tabea Tscherpel, Benjamin Hiller, Riccardo Morandin, Caren Tischendorf |
|---|---|
| Document Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2026/02/24 |
| Release Date: | 2026/02/24 |
| Note: | This is an updated version of [P. Domschke, B. Hiller, J. Lang, V. Mehrmann, R. Morandin, and C. Tischendorf. Gas Network Modeling: An Overview. Preprint, TRR 154, 2021], available at: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/411 |
| Institutes: | Technische Universität Darmstadt |
| Humboldt-Universität zu Berlin | |
| Zuse-Institut Berlin (ZIB) | |
| Technische Universität Berlin | |
| Otto-von-Guericke-Universität Magdeburg | |
| Subprojects: | A04 |
| B01 | |
| B03 | |
| C02 | |
| C05 | |
| C09 | |
| Licence (German): | Creative Commons - CC BY-SA - Namensnennung - Weitergabe unter gleichen Bedingungen 4.0 International |


