Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes

2017 ◽  
Vol 57 (4) ◽  
pp. 680-697 ◽  
Author(s):  
P. A. Bakhvalov ◽  
T. K. Kozubskaya
Keyword(s):  
Euler Equations ◽  
Unstructured Meshes ◽  
Edge Based

The Simulation of the Linearized Euler Equations by a Second Order Scheme is Possible

2005 ◽  
Vol 4 (1-2) ◽  
pp. 49-68
Author(s):  
R. Abgrall ◽  
M. Ravachol ◽  
S. Marret
Keyword(s):  
Numerical Simulation ◽  
Euler Equations ◽  
Finite Volume ◽  
Unstructured Meshes ◽  
High Order ◽  
Complex Geometries ◽  
Residual Distribution ◽  
Linearized Euler Equations ◽  
Order Scheme ◽  
The One

We are interested in the numerical simulation of acoustic perturbations via the linearized Euler equations using triangle unstructured meshes in complex geometries such as the one around a complete aircraft. It is known that the classical schemes using a finite volume formulation with high order extrapolation of the variables can be very disappointing. In this paper, we show that using an upwind residual distribution formulation, it is possible to simulate such problems, even on truly unstructured meshes. The main focus of the paper is on the propagative properties of the scheme.

Time integration algorithms for the two-dimensional Euler equations on unstructured meshes

AIAA Journal ◽  
1994 ◽  
Vol 32 (6) ◽  
pp. 1158-1166 ◽  
Author(s):  
David C. Slack ◽  
D. L. Whitaker ◽  
Robert W. Walters
Keyword(s):  
Euler Equations ◽  
Time Integration ◽  
Unstructured Meshes ◽  
Two Dimensional ◽  
Integration Algorithms
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