Journal
MULTISCALE MODELING & SIMULATION
Volume 9, Issue 2, Pages 601-623Publisher
SIAM PUBLICATIONS
DOI: 10.1137/100813580
Keywords
gas dynamics; low-mach-number; gas pipelines; networks
Funding
- Institute of Pure and Applied Mathematics (IPAM) at UCLA
- European Union [DEASE: MEST-CT-2005-021122]
- DFG [HE5386/6-1, HE5386/8-1]
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By using asymptotic analysis we derive most of the known and also new nonisothermal pipeline models starting from transient gas equations. We introduce proper scalings to identify valid regimes for the derived models and extend them to networks. Finally, we perform numerical simulations on a single pipe as well-posed as on a small network. We compare both isothermal and nonisothermal flow and pressure predictions with results obtained from the literature.
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