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On the application of the multigrid method to topology optimization with orthotropic material with varying orientation
Citation Link: https://doi.org/10.15480/882.15839
Publikationstyp
Journal Article
Date Issued
2025-08-01
Sprache
English
TORE-DOI
Volume
68
Issue
8
Article Number
158
Citation
Structural and multidisciplinary optimization 68 (8): 158 (2025)
Publisher DOI
Scopus ID
Publisher
Springer
Multigrid methods are known to show good performance for most topology optimization problems, but suffer from anisotropies. The main problems are caused by poor performance of the smoothing algorithms. This paper analyzes different standard and advanced smoothing algorithms using the local Fourier analysis with regard to orthotropic materials in the linear elasticity problem. The results are generalized to real problems and contrast-rich topology designs using numeric experiments. Based on the analyses, recommendations are given and a new spatial Jacobi smoothing algorithm is presented. The results are finally approved by a topology optimization example and a material orientation and topology optimization example.
Subjects
Large scale
Material orientation and topology optimization
Multigrid method
Orthotropic material
Topology optimization
DDC Class
620.1: Engineering Mechanics and Materials Science
Publication version
publishedVersion
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Name
s00158-025-04102-y.pdf
Type
Main Article
Size
4.46 MB
Format
Adobe PDF