TY - JOUR
T1 - Length scale control for high-resolution three-dimensional level set–based topology optimization
AU - Aage, Niels
AU - Giele, Reinier
AU - Andreasen, Casper Schousboe
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - Cut elements
KW - Large-scale
KW - Length scale control
KW - Level set method
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85104955213&partnerID=8YFLogxK
U2 - 10.1007/s00158-021-02904-4
DO - 10.1007/s00158-021-02904-4
M3 - Article
AN - SCOPUS:85104955213
SN - 1615-147X
VL - 64
SP - 1127
EP - 1139
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
IS - 3
ER -