Department of Mathematics
A robust WENO type finite volume solver for steady Euler equations on unstructured grids
A 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. © 2011 Global-Science Press.
Block LU-SGS, Finite volume method, Geometrical multigrid, Steady Euler equations, WENO reconstruction
Source Publication Title
Communications in Computational Physics
Global Science Press
Hu, Guanghui, Ruo Li, and Tao Tang. "A robust WENO type finite volume solver for steady Euler equations on unstructured grids." Communications in Computational Physics 9.3 (2011): 627-648.