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| Unstructured grids based TTGC finite element scheme and its application to supersonic flows |
| Received:May 28, 2012 Revised:September 02, 2012 |
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| DOI：10.7511/jslx201305020 |
| KeyWord:unstructured grids high order scheme supersonic flows finite element method |
| Author | Institution |
| 鲁阳 |
浙江大学 航空航天学院, 杭州 |
| 邹建锋 |
浙江大学 航空航天学院, 杭州 |
| 郑耀 |
浙江大学 航空航天学院, 杭州 |
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| Abstract: |
| A third order TTGC finite element method combined with shock-capturing technique is presented in the paper.The shock-capturing technique was developed on the base of artificial viscosity.Several numerical simulations of supersonic flow problems (SOD shocktube,wind tunnel with a step,hypersonic flow around a cylinder) were conducted under unstructured meshes with this method.The computation results show that the TTGC scheme has very high numerical resolution.It is capable of capturing complex flow structures in supersonic flows,such as shock wave,contact discontinuity surface,with coarse meshes.The oscillations around the shock are perfectly controlled by the artificial viscosity.Compared with the high order finite volume scheme,it has not only higher order accuracy,but also has lower numerical dissipations in simulations of supersonic flows. |
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