http://dx.doi.org/10.4208/cicp.031109.080410s">
 

Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

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

Language

English

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. © 2011 Global-Science Press.

Keywords

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

Publication Date

2011

Source Publication Title

Communications in Computational Physics

Volume

9

Issue

3

Start Page

627

End Page

648

Publisher

Global Science Press

ISSN (print)

18152406

ISSN (electronic)

19917120

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