Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow for large data

2017 ◽  
Vol 37 ◽  
pp. 217-238 ◽  
Author(s):  
Naoki Tsuge
Keyword(s):  
Euler Equations ◽  
Large Data ◽  
Entropy Solutions ◽  
Compressible Euler Equations ◽  
Nozzle Flow ◽  
Compressible Euler

scholarly journals A minimum entropy principle in the compressible multicomponent Euler equations

2020 ◽  
Vol 54 (2) ◽  
pp. 373-389 ◽  
Author(s):  
Ayoub Gouasmi ◽  
Karthik Duraisamy ◽  
Scott M. Murman ◽  
Eitan Tadmor
Keyword(s):  
Euler Equations ◽  
Entropy Solutions ◽  
Compressible Euler Equations ◽  
Minimum Entropy ◽  
Comput Phys ◽  
Compressible Euler ◽  
Entropy Principle ◽  
Entropy Functions ◽  
Numer Math

In this work, the space of admissible entropy functions for the compressible multicomponent Euler equations is explored, following up on Harten (J. Comput. Phys. 49 (1983) 151–164). This effort allows us to prove a minimum entropy principle on entropy solutions, whether smooth or discrete, in the same way it was originally demonstrated for the compressible Euler equations by Tadmor (Appl. Numer. Math. 49 (1986) 211–219).

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