What is it about?
Traveling waves solutions for the isothermal Euler equations are computed here. They have constant speed and thus can be interpreted as the solutions to an optimal control problem where the aim is to find a solution with constant speed. The waves can also run through network nodes for suitable parameter sets.
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Why is it important?
The analytic Solutions are valuable to understand the transient System Dynamics and to test numerical methods.
Perspectives
The traveling waves Solutions also illustrate the limited range of applicability of the considered AGA model for real gas. It turns out that the traveling waves blow up after finite time.
Martin Gugat
Friedrich-Alexander-Universitat Erlangen-Nurnberg
Read the Original
This page is a summary of: Transient Flow in Gas Networks: Traveling waves, International Journal of Applied Mathematics and Computer Science, June 2018, De Gruyter,
DOI: 10.2478/amcs-2018-0025.
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