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| A WENO scheme with geometric conservation law and its application |
| Received:October 18, 2016 Revised:December 05, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201706015 |
| KeyWord:Geometric Conservation Law WENO free-stream preservation errors of metric derivatives flow past airfoil |
| Author | Institution |
| 朱志斌 |
中国航天空气动力技术研究院, 北京 |
| 杨武兵 |
中国航天空气动力技术研究院, 北京 |
| 禹旻 |
中国航天空气动力技术研究院, 北京 |
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| Abstract: |
| The origin of geometric conservation law is investigated,and a WENO scheme with geometric conservation law is developed.Then the scheme is applied to the simulation of flow past airfoils.In order to eliminate the influence of grid quality,the standard WENO scheme is divided into two part:a consistent central difference part and a numerical dissipation part,and the conservative metric method is implemented.Results of numerical tests show that the geometric conservation law plays a very important role in high order finite difference WENO scheme,and the developed scheme can eliminate the errors of metric derivatives and preserve the free-stream preservation perfectly.Then the scheme is applied to the large eddy simulation of laminar separation phenomenon on the SD7003 airfoil.The computed results match well with the computational and experimental ones from some other papers.Besides,the present method has the characteristics of high order of accuracy and high resolution in capturing small-scale flow structures,and achieves good performance effect in predicting the formation of a laminar separation bubble and its subsequent burst and transition to turbulent structures. |
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