Coupling of Compressible Euler Equations
- Resource Type
- Authors
- Michael Herty; Aleksey Sikstel; Siegfried Müller
- Source
- Vietnam Journal of Mathematics. 47:769-792
- Subject
- Coupling problem
Isentropic process
General Mathematics
Drop (liquid)
Mathematical analysis
010103 numerical & computational mathematics
01 natural sciences
Euler equations
010101 applied mathematics
symbols.namesake
Riemann problem
symbols
Compressibility
Uniqueness
0101 mathematics
Special case
Mathematics
- Language
- ISSN
- 2305-2228
2305-221X
The Riemann problem for coupled Euler equations is analysed. The coupling conditions at a steady interface impose continuous pressure and temperature while momentum differs. The outtake of the momentum models the influence of a gas-powered generator linked to a high-pressure gas network. We prove the existence and uniqueness of the solution to the coupled Riemann problem in case the drop in the momentum is sufficiently small. Furthermore, we analyse the coupling problem for the special case of isentropic Euler equations and obtain similar results. The behaviour of coupled isentropic and coupled compressible Euler equations is compared numerically.