scholarly journals Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity

2019 ◽  
Vol 41 (2) ◽  
pp. A695-A721 ◽  
Author(s):  
C. Klingenberg ◽  
G. Puppo ◽  
M. Semplice
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Arbitrary Order

Advances in the Numerical Integration of the Three-Dimensional Euler Equations in Vibrating Cascades

1993 ◽  
Vol 115 (4) ◽  
pp. 781-790 ◽  
Author(s):  
G. A. Gerolymos
Keyword(s):  
Boundary Conditions ◽  
Numerical Integration ◽  
Euler Equations ◽  
Finite Volume ◽  
Three Dimensional ◽  
Computational Results ◽  
Grid Refinement ◽  
Mobile Grid ◽  
Transonic Compressor ◽  
Runge Kutta

In the present work an algorithm for the numerical integration of the three-dimensional unsteady Euler equations in vibrating transonic compressor cascades is described. The equations are discretized in finite-volume formulation in a mobile grid using isoparametric brick elements. They are integrated in time using Runge-Kutta schemes. A thorough discussion of the boundary conditions used and of their influence on results is undertaken. The influence of grid refinement on computational results is examined. Unsteady convergence of results is discussed.

Reprint of: Finite volume methods for multi-component Euler equations with source terms

2018 ◽  
Vol 169 ◽  
pp. 40-61
Author(s):  
Alfredo Bermúdez ◽  
Xián López ◽  
M. Elena Vázquez-Cendón
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Finite Volume Methods ◽  
Source Terms

scholarly journals Convergence of Finite Volume Schemes for the Euler Equations via Dissipative Measure-Valued Solutions

2019 ◽  
Vol 20 (4) ◽  
pp. 923-966 ◽  
Author(s):  
Eduard Feireisl ◽  
Mária Lukáčová-Medvid’ová ◽  
Hana Mizerová
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Finite Volume Schemes
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