A robust WENO type finite volume solver for steady Euler equations on unstructured grids

Guanghui Hu*, Ruo Li, Tao TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)627-648
Number of pages22
JournalCommunications in Computational Physics
Volume9
Issue number3
DOIs
Publication statusPublished - Mar 2011

Scopus Subject Areas

  • Physics and Astronomy (miscellaneous)

User-Defined Keywords

  • Block LU-SGS
  • Finite volume method
  • Geometrical multigrid
  • Steady Euler equations
  • WENO reconstruction

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