| 基于变域变分有限元的翼型气动设计 |
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| 引用本文： | 陈池,刘高联.基于变域变分有限元的翼型气动设计[J].上海大学学报(英文版),2005,9(3):210-215. |
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| 作者姓名： | 陈池 刘高联 |
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| 作者单位： | ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P.R.China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina(GrantNo.50136030) |
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| 摘 要： | Designing airfoils according to given pressure (or velocity) distribution is one kind of free boundary problems. Free boundary condition can be coupled with the flow governing equations by variable-domain variational calculus, which makes it possible to calculate simultaneously the flow field and the free boundary. An accurate deduction of the variable-domain variational principles is taken herein to design airfoils in compressible and incompressible flows. Furthermore, two grid types (H and O) are used in the calculation with better results for the O-type grid. It is shown that convergence is accelerated and good results can be obtained even if the initial guessed airfoil shape is a triangle, demonstrating the strong adaptability of this method.
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| 关 键 词： | 机翼 空气动力学 有限元分析 变量原则 |
| 收稿时间： | 10 October 2003 |
Aerodynamic design of airfoils based on variable-domain variational finite element method |
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| Chen?Chi,Liu?Gao-lian.Aerodynamic design of airfoils based on variable-domain variational finite element method[J].Journal of Shanghai University(English Edition),2005,9(3):210-215. |
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| Authors: | Chen Chi Liu Gao-lian |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China |
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| Abstract: | Designing airfoils according to given pressure (or velocity) distribution is one kind of free boundary problems. Free boundary condition can be coupled with the flow governing equations by variable-domain variational calculus, which makes it possible to calculate simultaneously the flow field and the free boundary. An accurate deduction of the variable-domain variational principles is taken herein to design airfoils in compressible and incompressible flows. Furthermore, two grid types (H and O) are used in the calculation with better results for the O-type grid. It is shown that convergence is accelerated and good results can be obtained even if the initial guessed airfoil shape is a triangle, demonstrating the strong adaptability of this method. |
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| Keywords: | inverse design finite element method variable-domain variational principle |
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