An optimal design problem for submerged bodies
作者:
T. S. Angell,
G. C. Hsiao,
R. E. Kleinman,
期刊:
Mathematical Methods in the Applied Sciences
(WILEY Available online 1986)
卷期:
Volume 8,
issue 1
页码: 50-76
ISSN:0170-4214
年代: 1986
DOI:10.1002/mma.1670080105
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractThe problem of finding the shape of a smooth body submerged in a fluid of finite depth which minimizes added mass or damping is considered. The optimal configuration is sought in a suitably constrained class so as to be physically meaningful and for which the mathematical problem of a submerged body with linearized free surface condition is uniquely solvable. The problem is formulated as a constrained optimization problem whose cost functional (e.g. added mass) is a domain functional. Continuity of the solution of the boundary value problem with respect to variations of the boundary is established in an appropriate function space setting and this is used to establish existence of an optimal solution. A variational inequality is derived for the optimal shape and it is shown how finite dimensional approximate solutions may be found.
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