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On the basis of studying the traditional adjoint method based on the steady flow solution and the steady solution of the adjoint equation, a new optimal aerodynamic design method called the dynamic evolution adjoint method is presented in this paper. This new method is based on the instantaneous solution of the unsteady flow governing equation and the instantaneous solution of the unsteady adoint equation. The dynamic evolution adjoint method has the advantage of both the adjoint method and the dynamic evolution method. The numerical results of many examples show that this new method is much more time saving than the traditional adjoint method and the accuracy of this new method can be the same as that of the traditional adjoint method.
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Keywords:
- aerodynamic optimization /
- dynamic evolution method /
- adjoint method /
- dynamic evolution adjoint method
[1] Vicini A, Auagliarella D 1997 AIAA Journal 35 106
[2] Jameson A 1988 J. Sci. Comput. 3 233
[3] Jameson A, Reuther J 1994 AIAA Paper 94 4272
[4] Jameson A, Pierce N A, Martinelli L 1997 AIAA, Aerospace Sciences Meeting and Exhibit 35th Reno, NV, January 6-9, 1997 0101
[5] Zhang H X, Shen M Y 2005 Proceedings of Modern Aerodynamic Seminar (Beijing: China Astronautic Publishing House) p49 (in Chinese) [张涵信, 沈孟育 2005 近代空气动力学研讨会论文集 (北京:中国宇航出版社) 第49页]
[6] Gao Y Y, He F, Shen M Y 2011 Sci. China: Phys. Mech. Astron. 54 697
[7] Nadarajah Siva K, Jameson A 2002 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Conference Atlanta, GA, September 4-6, 2002 5436
[8] Baldwin B S, Lomax H 1978 AIAA Paper 78 257
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[1] Vicini A, Auagliarella D 1997 AIAA Journal 35 106
[2] Jameson A 1988 J. Sci. Comput. 3 233
[3] Jameson A, Reuther J 1994 AIAA Paper 94 4272
[4] Jameson A, Pierce N A, Martinelli L 1997 AIAA, Aerospace Sciences Meeting and Exhibit 35th Reno, NV, January 6-9, 1997 0101
[5] Zhang H X, Shen M Y 2005 Proceedings of Modern Aerodynamic Seminar (Beijing: China Astronautic Publishing House) p49 (in Chinese) [张涵信, 沈孟育 2005 近代空气动力学研讨会论文集 (北京:中国宇航出版社) 第49页]
[6] Gao Y Y, He F, Shen M Y 2011 Sci. China: Phys. Mech. Astron. 54 697
[7] Nadarajah Siva K, Jameson A 2002 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization Conference Atlanta, GA, September 4-6, 2002 5436
[8] Baldwin B S, Lomax H 1978 AIAA Paper 78 257
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