Details
| Original language | English |
|---|---|
| Article number | e7575 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 125 |
| Issue number | 23 |
| Publication status | Published - 7 Nov 2024 |
Abstract
In this work, a low-order virtual element method (VEM) with adaptive meshing is applied for thermodynamic topology optimization with linear elastic material for the two-dimensional case. VEM has various significant advantages compared to other numerical discretization techniques, for example the finite element method (FEM). One advantage is the flexibility to use arbitrary shaped elements including the possibility to add nodes on the fly during simulation, which opens a new variety of application fields. The latter mentioned feature is used in this publication to propose an adaptive mesh-refinement strategy during the thermodynamic optimization procedure and investigate its feasibility. The thermodynamic topology optimization (TTO) includes a efficient gradient-enhanced approach to regularization of the otherwise ill-posed density based topology optimization approach and was already applied to various material models in combination with finite elements. However, the special numerical treatment leading to efficiency of the regularization approach within the TTO has to be modified to be applicable to VEM, which is presented in the publication. We show the performance of this framework by investigating several numerical results on benchmark problems.
Keywords
- adaptive mesh-refinement, polygonal methods, thermodynamic topology optimization, virtual element method
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 125, No. 23, e7575, 07.11.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Application of adaptive virtual element method to thermodynamic topology optimization
AU - Cihan, Mertcan
AU - Aichele, Robin
AU - Jantos, Dustin Roman
AU - Junker, Philipp
N1 - Publisher Copyright: © 2024 The Author(s). International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.
PY - 2024/11/7
Y1 - 2024/11/7
N2 - In this work, a low-order virtual element method (VEM) with adaptive meshing is applied for thermodynamic topology optimization with linear elastic material for the two-dimensional case. VEM has various significant advantages compared to other numerical discretization techniques, for example the finite element method (FEM). One advantage is the flexibility to use arbitrary shaped elements including the possibility to add nodes on the fly during simulation, which opens a new variety of application fields. The latter mentioned feature is used in this publication to propose an adaptive mesh-refinement strategy during the thermodynamic optimization procedure and investigate its feasibility. The thermodynamic topology optimization (TTO) includes a efficient gradient-enhanced approach to regularization of the otherwise ill-posed density based topology optimization approach and was already applied to various material models in combination with finite elements. However, the special numerical treatment leading to efficiency of the regularization approach within the TTO has to be modified to be applicable to VEM, which is presented in the publication. We show the performance of this framework by investigating several numerical results on benchmark problems.
AB - In this work, a low-order virtual element method (VEM) with adaptive meshing is applied for thermodynamic topology optimization with linear elastic material for the two-dimensional case. VEM has various significant advantages compared to other numerical discretization techniques, for example the finite element method (FEM). One advantage is the flexibility to use arbitrary shaped elements including the possibility to add nodes on the fly during simulation, which opens a new variety of application fields. The latter mentioned feature is used in this publication to propose an adaptive mesh-refinement strategy during the thermodynamic optimization procedure and investigate its feasibility. The thermodynamic topology optimization (TTO) includes a efficient gradient-enhanced approach to regularization of the otherwise ill-posed density based topology optimization approach and was already applied to various material models in combination with finite elements. However, the special numerical treatment leading to efficiency of the regularization approach within the TTO has to be modified to be applicable to VEM, which is presented in the publication. We show the performance of this framework by investigating several numerical results on benchmark problems.
KW - adaptive mesh-refinement
KW - polygonal methods
KW - thermodynamic topology optimization
KW - virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85200604441&partnerID=8YFLogxK
U2 - 10.1002/nme.7575
DO - 10.1002/nme.7575
M3 - Article
AN - SCOPUS:85200604441
VL - 125
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 23
M1 - e7575
ER -