A third-order finite-volume residual-based scheme for the 2D Euler equations on unstructured grids

2011 ◽  
Vol 230 (11) ◽  
pp. 4201-4215 ◽  
Author(s):  
Xi Du ◽  
Christophe Corre ◽  
Alain Lerat
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Unstructured Grids ◽  
Third Order ◽  
2D Euler Equations

Finite Volume Solvers and Moving Least Square Approximations for the Linearized Euler Equations on Unstructured Grids

2008 ◽  
Vol 123 (5) ◽  
pp. 3381-3381 ◽  
Author(s):  
Sofiane Khelladi ◽  
Xesús Nogueira ◽  
Farid Bakir ◽  
Luis Cueto‐Felgueroso ◽  
Ignasi Colominas
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Unstructured Grids ◽  
Least Square ◽  
Linearized Euler Equations ◽  
Moving Least Square

A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids

2011 ◽  
Vol 9 (3) ◽  
pp. 627-648 ◽  
Author(s):  
Guanghui Hu ◽  
Ruo Li ◽  
Tao Tang
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Numerical Experiments ◽  
Unstructured Grids ◽  
Numerical Accuracy ◽  
Shock Region ◽  
Smooth Region ◽  
Type Reconstruction ◽  
Numer Math ◽  
Numerical Strategy

AbstractA recent work of Li et al. [Numer. Math. Theor. Meth. Appl., 1(2008), pp. 92-112] proposed a finite volume solver to solve 2D steady Euler equations. Although the Venkatakrishnan limiter is used to prevent the non-physical oscillations nearby the shock region, the overshoot or undershoot phenomenon can still be observed. Moreover, the numerical accuracy is degraded by using Venkatakrishnan limiter. To fix the problems, in this paper the WENO type reconstruction is employed to gain both the accurate approximations in smooth region and non-oscillatory sharp profiles near the shock discontinuity. The numerical experiments will demonstrate the efficiency and robustness of the proposed numerical strategy.

Multimoment Finite Volume Solver for Euler Equations on Unstructured Grids

AIAA Journal ◽  
2017 ◽  
Vol 55 (8) ◽  
pp. 2617-2629 ◽  
Author(s):  
Xi Deng ◽  
Bin Xie ◽  
Feng Xiao
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Unstructured Grids
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