High-Order Higdon Non-Reflecting Boundary Conditions for the Linearized Euler Equations

2007 ◽  
Author(s):  
John R. Dea ◽  
Francis X. Giraldo ◽  
Beny Neta
Keyword(s):  
Boundary Conditions ◽  
Euler Equations ◽  
High Order ◽  
Linearized Euler Equations

scholarly journals High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: No mean flow case

Wave Motion ◽  
2009 ◽  
Vol 46 (3) ◽  
pp. 210-220 ◽  
Author(s):  
John R. Dea ◽  
Francis X. Giraldo ◽  
Beny Neta
Keyword(s):  
Boundary Conditions ◽  
Euler Equations ◽  
High Order ◽  
Mean Flow ◽  
Flow Case

Improved Characteristic Non-Reflecting Boundary Conditions for the Linearized Euler Equations

2010 ◽  
Author(s):  
Lilla Koloszár ◽  
Herman Deconinck ◽  
Patrick Rambaud ◽  
Jerome Anthoine ◽  
N. Villedieu
Keyword(s):  
Boundary Conditions ◽  
Euler Equations ◽  
Linearized Euler Equations

Implicit High-Order Time Marching Schemes for the Linearized Euler Equations

AIAA Journal ◽  
2007 ◽  
Vol 45 (8) ◽  
pp. 1819-1826 ◽  
Author(s):  
George Arabatzis ◽  
Panagiotis Vavilis ◽  
Ioannis Toulopoulos ◽  
John A. Ekaterinaris
Keyword(s):  
Euler Equations ◽  
High Order ◽  
Linearized Euler Equations ◽  
Time Marching ◽  
High Order Time

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.

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