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We consider modeling, optimization, and domain decomposition method for friction dominated flow of gas in a pipe network. The equations of motions are taken to be represented by a friction dominated model derived from the fully nonlinear isothermal Euler gas equations. This involves doubly nonlinear p-parabolic problems on a metric graph with \(p=\frac{3}{2}\) . We provide example of non-overlapping domain decomposition in the spirit of P.L. Lions.

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Friction Dominated Flow in Gas-Networks: Modeling, Simulation, Optimal Control, and Domain Decompositions

  • 会议论文

  • 发表日期：

    2025年

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  • Günter Leugering

摘要

We consider modeling, optimization, and domain decomposition method for friction dominated flow of gas in a pipe network. The equations of motions are taken to be represented by a friction dominated model derived from the fully nonlinear isothermal Euler gas equations. This involves doubly nonlinear p-parabolic problems on a metric graph with \(p=\frac{3}{2}\) . We provide example of non-overlapping domain decomposition in the spirit of P.L. Lions.