An inexact Petrov-Galerkin approximation for gas transport in pipeline networks

Herbert Egger; Thomas Kugler; Vsevolod Shashkov

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arXiv · 1811.05215

An inexact Petrov-Galerkin approximation for gas transport in pipeline networks

Herbert Egger·Thomas Kugler·Vsevolod Shashkov

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Abstract

This paper studies the discretization of gas transport in pipeline networks by an inexact Petrov-Galerkin method. A full convergence analysis is presented for single pipes under the assumption of a linear friction law and the possible extension to pipe networks is discussed. The generalization to nonlinear gas transport models and the efficient implementation by hybridization is investigated numerically.

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Herbert Egger, Thomas Kugler, Vsevolod Shashkov. 2018-11-13. An inexact Petrov-Galerkin approximation for gas transport in pipeline networks. https://arxiv.org/abs/1811.05215

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