A high-level programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow

摘要

We present a versatile high-level programming-language implementation of non-linear topology optiinization. Our implementation is based on the commercial software package FEMLAB, and it allows a wide range of optimization objectives to be dealt with easily. We exemplify our method by studies of steady-state Navier-Stokes flow problems, thus extending the work by Borrvall and Petersson on topology optimization of fluids in Stokes flow (Int. J Num. Meth. Fluids 2003; 41:77-107). We analyse the physical aspects of the solutions and how they are affected by different parameters of the optimization algorithm. A complete example of our implementation is included as FEMLAB code in an appendix. Copyright (c) 2005 John Wiley & Sons, Ltd.