@inproceedings{oai:jaxa.repo.nii.ac.jp:00005421, author = {中島, 修治 and 川原, 睦人 and Nakajima, Shuji and Kawahara, Mutsuto}, book = {宇宙航空研究開発機構特別資料: 第40回流体力学講演会/航空宇宙数値シミュレーション技術シンポジウム2008論文集, JAXA Special Publication: Proceedings fo 40th Fluid Dynamics Conference / Aerospace Numerical Simulation Symposium 2008}, month = {Feb}, note = {第40回流体力学講演会/航空宇宙数値シミュレーション技術シンポジウム2008. 会期: 2008年6月12日-6月13日. 会場: 東北大学片平キャンパス, The objective of this paper is to determine the optimal shape of a body - a two-dimensional elliptical cylinder in this study - located in a compressible viscous flow governed by the Navier-Stokes equations, such that the fluid force acting on the surface of the body is minimized. The optimal state is defined as the state in which the performance function - the integration of the square sum of the fluid force on the surface of the body - is minimized due to a reduction in fluid force on the body. A gradient of the performance function is computed by using the adjoint variables. The weighted gradient method is used as the minimization algorithm. The volume of the body is assumed to be constant. For the discretization of both the state and adjoint equations, the mixed interpolation method based on the bubble function interpolation presented previously by the authors is employed. Both the structured mesh around the surface and the smoothing procedure are employed for the gradient. As numerical studies, the shape optimization of a body in a uniform flow field is carried out. The initial shape of the body is assumed to be an ellipse. Finally, a stable optimal shape determination of a body in a compressible viscous flow is obtained by using the presented method., 形態: カラー図版あり, 資料番号: AA0064303019, レポート番号: JAXA-SP-08-009}, publisher = {宇宙航空研究開発機構, Japan Aerospace Exploration Agency (JAXA)}, title = {有限要素法を用いた圧縮粘性流れにおける形状最適化}, volume = {JAXA-SP-08-009}, year = {2009} }