Abstract
The purpose of this study is to caluculate a numerical application of a shape optimization formulation of a body located in an incompressible viscous flow field. The formulation is based on an optimal control theory in which a performance function is introduced. Shape optimization is to solve the surface coordinates of the body that minimizes a performance function. The performance function should be minimized satisfying the state equation. This problem can be transformed into the minimization problem without constraint condition by the lagrangian multiplier or the adjoint equations using adjoint variables corresponding to state variables of the state equations. In this paper the formulation and calculation of shape optimization problem in a Stokes flow with some constraint is presented. The performance function is defined by the fluid forces subjected to the
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