Seminar in Numerical Analysis: Herbert Egger (TU Darmstadt)

A Mixed Finite-Element Method for Gas Transport on Pipeline Networks

We consider the simulation of gas transport through pipe networks. An appropriate mixed variational formulation is proposed to take into account the coupling conditions at pipe junctions automatically. This allows to obtain energy stable and mass conserving discretization schemes by Galerkin projection. A mixed finite element method is briefly discussed as a particular choice. We also discuss the preservation of further structural properties, like uniform exponential stability and the correct approximation of asymptotic regimes.

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