A finite-volume method for the Euler equations on arbitrary lagrangian-eulerian grids

1991 ◽  
Vol 20 (4) ◽  
pp. 399-409 ◽  
Author(s):  
J.Y. Trépanier ◽  
M. Reggio ◽  
H. Zhang ◽  
R. Camarero
Keyword(s):  
Finite Volume Method ◽  
Euler Equations ◽  
Finite Volume ◽  
Arbitrary Lagrangian Eulerian ◽  
Volume Method

scholarly journals Simulation of compressible and incompressible flows in the presence of shocks

2019 ◽  
Vol 286 ◽  
pp. 07018
Author(s):  
H. Benakrach ◽  
M. Taha-Janan ◽  
M.Z. Es-Sadek
Keyword(s):  
Equation Of State ◽  
Finite Volume Method ◽  
Euler Equations ◽  
Finite Volume ◽  
Incompressible Flows ◽  
Generalized Equation ◽  
Incompressible Fluids ◽  
Two Dimensional ◽  
First Results ◽  
Volume Method

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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