Author(s)

Z. Mrsa & G. Medic

Abstract

The finite element incompressible viscous flow solver, with discretization of total derivative, has been originally developed. Optimization with conjugate gradient method, with finite difference approximation of gradient of objective function and specially tailored mesh generator for chosen shape parametrization in the form of Bezier curve segments, has been used for optimal shape design of the nozzle. Almost identical optimal shape was achieved using different polynomial curve basis and different initial parameter values, qualifying the proposed methodology as appropriate for shape optimization in viscous flow problems. 1 Introduction The shape optimization technique is today accepted engineering tool. It is a promising method for the engineer designer because it can supplement his experience and guide him when designing new

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