scholarly journals Upwind Finite Volume Schemes for One and Two Dimensional Euler Equations

Author(s):  
Thierry Gallouet ◽  
Jean-Marc Hérard ◽  
Raphaele Herbin ◽  
Nicolas Jullian ◽  
Nicolas Seguin
2019 ◽  
Vol 20 (4) ◽  
pp. 923-966 ◽  
Author(s):  
Eduard Feireisl ◽  
Mária Lukáčová-Medvid’ová ◽  
Hana Mizerová

2019 ◽  
Vol 286 ◽  
pp. 07018
Author(s):  
H. Benakrach ◽  
M. Taha-Janan ◽  
M.Z. Es-Sadek

The purpose of the present work is to use a finite volume method for solving Euler equations in the presence of shocks and discontinuities, with a generalized equation of state. This last choice allows to treat both compressible and incompressible fluids. The first results of the work are presented. They consist in simulating two-dimensional single-specie flows in the presence of shocks. The results obtained are compared with the analytical results considered as benchmarks in the domain.


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