Abstract
We consider gas flow in pipeline networks governed by the isothermal Euler equations and introduce a new modeling of compressors in gas networks. Compressor units are modeled as pipe–to–pipe intersections with additional algebraic coupling conditions for the compressor behavior. We prove existence and uniqueness of solutions with respect to these conditions and use the results for numerical simulation and optimization of gas networks.
Highlights
There has been intense research in physical phenomena posed on networks with applications for example in traffic, gas and water flow [6, 17, 15, 20, 21, 2, 13, 12]
We consider gas flow in pipeline networks governed by the isothermal Euler equations and introduce a new modeling of compressors in gas networks
We prove existence and uniqueness of solutions with respect to these conditions and use the results for numerical simulation and optimization of gas networks
Summary
There has been intense research in physical phenomena posed on networks with applications for example in traffic, gas and water flow [6, 17, 15, 20, 21, 2, 13, 12]. C American Institute of Mathematical Sciences Volume 2, Number 1, March 2007 MODELING, SIMULATION AND OPTIMIZATION OF GAS NETWORKS WITH COMPRESSORS
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