DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhen
ISBN Print: 1-56700-162-9
SHAPE OPTIMIZATION PROBLEM FOR INCOMPRESSIBLE VISCOUS FLOW BASED ON OPTIMAL CONTROL THEORY
SINOPSIS
This paper presents a numerical application of the shape optimization of a body located in an incompressible viscous flow that can be expressed by an incompressible Navier−Stokes equation. The formulation is based on an optimal control theory. The optimal state is defined by the fluid forces acting on the body. The shape optimization is to find the surface coordinates of the body to minimize the performance function. The stabilized bubble function is employed for the finite element approximation. The Sakawa-Shindo method is applied to minimize the performance function. For a numerical example, drag minimization problem of a body which initial shape is a circular cylinder is introduced.