Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session R05: CFD: General II
1:50 PM–3:34 PM,
Monday, November 20, 2023
Room: 102A
Chair: Kazuki Maeda, Purdue University
Abstract: R05.00005 : Physical, mathematical, and numerical modeling of a gas flow in pipeline networks with low Mach number expansion*
2:42 PM–2:55 PM
Presenter:
Giuseppe Parasiliti Rantone
(Institute Jean le Rond D'Alembert, CNRS, Sorbonne University)
Authors:
Giuseppe Parasiliti Rantone
(Institute Jean le Rond D'Alembert, CNRS, Sorbonne University)
Pierre-Yves Lagrée
(Institute Jean le Rond D'Alembert, CNRS, Sorbonne University)
Nora Aïssiouene
(Summit, Sorbonne University)
Yohan Penel
(Lab. Jacques-Louis Lions (LJLL),Sorbonne University, CNRS, Université de Paris; INRIA, team ANGE)
To address the low Mach averaged model, we conceive a numerical method based on the characteristics method and the projection technique. In the initial stage, we present a numerical simulation for the "thermosiphon." This setup consists of two horizontal adiabatic pipes and two vertical pipes with prescribed wall temperatures, resulting in a temperature-driven flow. We incorporate in our algorithm the treatment of Dirac distributions as derivatives of the discontinuous gravity term at the corners and of periodic conditions.
We construct a quasi-exact solution serving as a benchmark for the validation of our numerical results.
Moving forward, we propose laws governing the junctions between multiple pipes and develop an algorithm capable of ensuring proper transmission conditions.
This analysis allows us to present numerical results for more complex pipeline configurations, providing quasi-exact solutions whenever feasible.
Overall, this study investigates further low Mach number gas flows through pipeline networks, employing advanced numerical techniques and validating our findings against established benchmarks.
*We are grateful to Gaztransport & Technigaz (GTT) for providing financial support for our research.
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