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

2006 ◽  
Author(s):  
George Arabatzis ◽  
Panagiotis Vavilis ◽  
Ioannis Toulopoulos ◽  
John Ekaterinaris
Keyword(s):  
Euler Equations ◽  
High Order ◽  
Linearized Euler Equations ◽  
Time Marching ◽  
High Order Time

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

High-order time-marching reinitialization for regional level-set functions

2018 ◽  
Vol 354 ◽  
pp. 311-319 ◽  
Author(s):  
Shucheng Pan ◽  
Xiuxiu Lyu ◽  
Xiangyu Y. Hu ◽  
Nikolaus A. Adams
Keyword(s):  
Level Set ◽  
High Order ◽  
Regional Level ◽  
Set Functions ◽  
Time Marching ◽  
High Order Time ◽  
Level Set Functions

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.

scholarly journals The Concepts of Well-Posedness and Stability in Different Function Spaces for the 1D Linearized Euler Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Stefan Balint ◽  
Agneta M. Balint
Keyword(s):  
Euler Equation ◽  
Function Space ◽  
Euler Equations ◽  
Small Perturbation ◽  
Function Spaces ◽  
Well Posedness ◽  
Small Solution ◽  
Null Solution ◽  
Linearized Euler Equations ◽  
The Stability

This paper considers the stability of constant solutions to the 1D Euler equation. The idea is to investigate the effect of different function spaces on the well-posedness and stability of the null solution of the 1D linearized Euler equations. It is shown that the mathematical tools and results depend on the meaning of the concepts “perturbation,” “small perturbation,” “solution of the propagation problem,” and “small solution, that is, solution close to zero,” which are specific for each function space.

Sign in / Sign up

Export Citation Format

Share Document