- Tytuł:
- Transient flow in gas networks: Traveling waves
- Autorzy:
-
Gugat, M.
Wintergerst, D. - Powiązania:
- https://bibliotekanauki.pl/articles/331492.pdf
- Data publikacji:
- 2018
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
traveling wave
isothermal Euler equations
compressibility factor
gas network
blow-up
optimal control
fala wędrująca
równania Eulera
współczynnik ściśliwości
sieć gazowa
sterowanie optymalne - Opis:
- In the context of gas transportation, analytical solutions are helpful for the understanding of the underlying dynamics governed by a system of partial differential equations. We derive traveling wave solutions for the one-dimensional isothermal Euler equations, where an affine linear compressibility factor is used to describe the correlation between density and pressure. We show that, for this compressibility factor model, traveling wave solutions blow up in finite time. We then extend our analysis to networks under appropriate coupling conditions and derive compatibility conditions for the network nodes such that the traveling waves can travel through the nodes. Our result allows us to obtain an explicit solution for a certain optimal boundary control problem for the pipeline flow.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2018, 28, 2; 341-348
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł