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

Published online by Cambridge University Press:  20 August 2015

Guanghui Hu ,
Ruo Li  and
Tao Tang
Guanghui Hu*
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Ruo Li*
Affiliation:
CAPT, LMAM & School of Mathematical Sciences, Peking University, Beijing 100871, China
Tao Tang*
Affiliation:
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
*
Corresponding author.Email:ghhu@math.msu.edu
Email:rli@math.pku.edu.cn
Email:ttang@math.hkbu.edu.hk
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Abstract

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.

Keywords

65N0865N2265N5576G25Steady Euler equationsfinite volume methodWENO reconstructiongeometrical multigridBlock LU-SGS
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 3 , March 2011 , pp. 627 - 648
Copyright
Copyright © Global Science Press Limited 2011

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