caa a22 4500 475737202 CHVBK 20180406123450.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/s007730070003 doi (NATIONALLICENCE)springer-10.1007/s007730070003 A minimization theory in Hilbert space and its application to two-dimensional cavity flow with a numerical study [Elektronische Daten] [Taek S. Jang, Takeshi Kinoshita] Abstract:: A minimization theory, which is based on the Hilbert space theory, is proposed and applied to two-dimensional cavity flow past a strut with the assumption of potential flow. That is, the minimization of the cavity drag of the strut on the cavity flow is studied with the help of the optimization theory proposed. To accelerate the optimization process, the Euler beam theory is introduced to generate a small variation in the strut. The introduction of the Euler beam theory makes the mathematical formulation for the present theory ill-conditioned. To overcome this condition, the Tikhonov regularization and the Morozov's discrepancy principle are used to regularize the present optimal theory. From the numerical study, it is shown that the proposed minimization theory is able to find an optimized shape for the given strut and corresponding optimized cavity drag. The Society of Naval Architects of Japan, 2000 Key words: Minimization theory nationallicence Euler beam theory nationallicence Ill-conditioned nationallicence Tikhonov regularization nationallicence Morozovo's discrepancy principle nationallicence Jang Taek S. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut Kinoshita Takeshi Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut https://doi.org/10.1007/s007730070003 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s007730070003 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jang Taek S. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut NATIONALLICENCE 700 1- Kinoshita Takeshi Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer