Domain Optimization Analysis of Viscous Flow Field. In the Case of Considering Convective Term.

Abstract

We present a numerical analysis method for optimization problems of domains in which incompressible steady-state viscous flow field problems are defined. Reshaping was accomplished by the traction method that was proposed as a solution to domain optimization problems in which elliptic boundary value problems were defined. In the previous paper, to total dissipation energy minimization problems we applied the traction method to the Stokes flow field problems ignoring the convective terms. The present paper describes an application of the traction method to the viscous flow field problems including convective terms. For the numerical analyses we employ the finite-element method. The successful results to two-dimensional low-Reynolds-number problems of a bending channel and a channel in which an isolated body exists show the validity of the present method.