Abstract
We consider the flow of gas through networks of pipelines. A hierarchy of models for the gas flow is available. The most accurate model is the pde system given by the 1-d Euler equations. For large-scale optimization problems, simplifications of this model are necessary. Here we propose a new model that is derived for high-pressure flows that are close to stationary flows. For such flows, we can make the assumption of constant gas velocity. Under this assumption, we obtain a model that allows transient gas flow rates and pressures. The model is given by a pde system, but in contrast to the Euler equations, it consists of linear equations. Based upon this model, the fast computation of transient large-scale gas network states is possible.
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Acknowledgements
This work was supported by DFG grant SFB TRR 154, project C03. This paper took benefit from discussions at the Basque Center for Applied Mathematics.
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Gugat, M., Herty, M. (2020). A New Model for Transient Flow in Gas Transportation Networks. In: Manchanda, P., Lozi, R., Siddiqi, A. (eds) Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-0928-5_6
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DOI: https://doi.org/10.1007/978-981-15-0928-5_6
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