LU-SGS Scheme and Improvement for Euler Computation on Three-Dimensional Unstructured Grids

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2006, Vol. 23 ›› Issue (6): 748-752.

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LU-SGS Scheme and Improvement for Euler Computation on Three-Dimensional Unstructured Grids

LI Jin-jie^1,2, YANG Qing¹, YANG Yong-nian¹

1. National Key Laboratory of Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072, China;
2. Chengdu Aerocraft Design & Research Institute, Chengdu 610041, China

Received:2005-08-01 Revised:2006-01-10 Online:2006-11-25 Published:2006-11-25

Abstract

Abstract: An LU-SGS(Lower-Upper Symmetric Gauss-Seidel) scheme and improvement for three-dimensional unstructured grid Euler computation are presented.Grid reordering for efficient implementation of the improved LU-SGS and the original LU-SGS is proposed.In order to test the feasibility and efficiency of the improved LU-SGS algorithm,two numerical examples of transonic inviscid flow around an ONERA M6 wing and an LANN supercritical wing are presented.It shows that the numerical results agree well with the experimental data.Moreover,the efficiency of the improved LU-SGS scheme is two times higher than that of the original LU-SGS scheme and seven times higher than that of the explicit Four-Stage-Runge-Kutta scheme.

Key words: Euler equation, unstructured grids, improved LU-SGS, grid reordering

CLC Number:

V211.3

LI Jin-jie, YANG Qing, YANG Yong-nian. LU-SGS Scheme and Improvement for Euler Computation on Three-Dimensional Unstructured Grids[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(6): 748-752.

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LU-SGS Scheme and Improvement for Euler Computation on Three-Dimensional Unstructured Grids

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