Friction Dominated Flow in Gas-Networks: Modeling, Simulation, Optimal Control, and Domain Decompositions
Leugering G (2025)
Publication Language: English
Publication Type: Conference contribution
Publication year: 2025
Publisher: Springer
Series: Springer Proceedings in Mathematics and Statistics
City/Town: Singapore
Book Volume: 482
Pages Range: 43-70
Conference Proceedings Title: Mathematical Modeling, Applied Analysis and Computational Methods. ICAIM-2023, Greater Noida, India, March 24–26
Event location: Greater Noida
ISBN: 9789819634590
DOI: 10.1007/978-981-96-3460-6_4
Abstract
We consider modeling, optimization, and domain decomposition method for friction dominated flow of gas in a pipe network. The equations of motions are taken to be represented by a friction dominated model derived from the fully nonlinear isothermal Euler gas equations. This involves doubly nonlinear p-parabolic problems on a metric graph with p=32. We provide example of non-overlapping domain decomposition in the spirit of P.L. Lions.
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How to cite
APA:
Leugering, G. (2025). Friction Dominated Flow in Gas-Networks: Modeling, Simulation, Optimal Control, and Domain Decompositions. In Khursheed Alam (Eds.), Mathematical Modeling, Applied Analysis and Computational Methods. ICAIM-2023, Greater Noida, India, March 24–26 (pp. 43-70). Greater Noida, IN: Singapore: Springer.
MLA:
Leugering, Günter. "Friction Dominated Flow in Gas-Networks: Modeling, Simulation, Optimal Control, and Domain Decompositions." Proceedings of the International Conference on Applied and Industrial Mathematics, ICAIM 2023, Greater Noida Ed. Khursheed Alam, Singapore: Springer, 2025. 43-70.
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