An inexact Petrov-Galerkin approximation for gas transport in pipeline networks
It offers a new discretization approach for gas transport in pipeline networks, but the results are preliminary and limited to linear cases with numerical exploration of extensions.
The paper develops an inexact Petrov-Galerkin method for discretizing gas transport in pipeline networks, providing convergence analysis for single pipes under linear friction and numerical investigation of nonlinear models and hybridization.
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.