TY - JOUR
T1 - A robust WENO type finite volume solver for steady Euler equations on unstructured grids
AU - Hu, Guanghui
AU - Li, Ruo
AU - TANG, Tao
N1 - Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2011/3
Y1 - 2011/3
N2 - 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.
AB - 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.
KW - Block LU-SGS
KW - Finite volume method
KW - Geometrical multigrid
KW - Steady Euler equations
KW - WENO reconstruction
UR - http://www.scopus.com/inward/record.url?scp=79551550114&partnerID=8YFLogxK
U2 - 10.4208/cicp.031109.080410s
DO - 10.4208/cicp.031109.080410s
M3 - Journal article
AN - SCOPUS:79551550114
SN - 1815-2406
VL - 9
SP - 627
EP - 648
JO - Communications in Computational Physics
JF - Communications in Computational Physics
IS - 3
ER -