Length scale control for high-resolution three-dimensional level set–based topology optimization

Journal article (2021)

Authors

Niels Aage Technical University of Denmark

R.J.P. Giele Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering

Casper Schousboe Andreasen Technical University of Denmark

Research Group

Computational Design and Mechanics (Mechanical, Maritime and Materials Engineering) (TU Delft)

Topology optimization Level set method Cut elements Large-scale Length scale control

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http://resolver.tudelft.nl/uuid:c31937af-b59b-4806-ae76-0328455333be

Published Date

2021

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Computational Design and Mechanics

Abstract

This work considers an efficient approach for length scale control in high-resolution three-dimensional level set–based topology optimization. A contrast parameter–based cut element method is employed to ensure a crisp interface representation while working on fixed background hexahedral meshes. This enables the use of efficient multigrid preconditioned Krylov methods in massively parallelized computations. The minimum length scale is controlled using a projection filter without the need for β-continuation. The capabilities of the proposed approach is demonstrated on several numerical examples using more than 62 million hexahedral elements.

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