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

TLDR

The work builds on prior topology optimization of fluid flows, extending Borrvall and Petersson’s Stokes‑flow approach to steady‑state Navier–Stokes problems. The study presents a versatile high‑level programming‑language implementation of nonlinear topology optimization. The implementation uses FEMLAB, enabling diverse optimization objectives and is illustrated with a full example in the appendix. The analysis reveals how solution physics depend on optimization algorithm parameters. Published in J.

Abstract

Abstract We present a versatile high‐level programming‐language implementation of non‐linear topology optimization. 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 © 2005 John Wiley & Sons, Ltd.