## Abstract We consider a multiscale network of natural gas pipelines. Different arcs of the network are to be modeled by possibly different models depending on the requisite qualitative detail required: an isothermal Euler system of equations; linearized model derived from the isothermal Euler sys
A new model for gas flow in pipe networks
โ Scribed by M. Herty; J. Mohring; V. Sachers
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 806 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1197
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โฆ Synopsis
Abstract
We introduce a new model for gas dynamics in pipe networks by asymptotic analysis. The model is derived from the isothermal Euler equations. We present the derivation of the model as well as numerical results illustrating the validity and its properties. We compare the new model with existing models from the mathematical and engineering literature. We further give numerical results on a sample network. Copyright ยฉ 2009 John Wiley & Sons, Ltd.
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