Shape and topology optimization based on the convected level set method

The aim of this research is to construct a shape optimization method based on the convected level set method, in which the level set function is defined as a truncated smooth function obtained by using a sinus filter based on a hyperbolic tangent function. The local property of the hyperbolic tangen...

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Veröffentlicht in:Structural and multidisciplinary optimization Jg. 54; H. 3; S. 659 - 672
Hauptverfasser: Yaji, Kentaro, Otomori, Masaki, Yamada, Takayuki, Izui, Kazuhiro, Nishiwaki, Shinji, Pironneau, Olivier
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
Springer Nature B.V
Springer Verlag
Schlagworte:
Computational Mathematics and Numerical Analysis
Computer Science
Engineering
Engineering Design
Evolution
Hyperbolic functions
Mathematical analysis
Numerical Analysis
Research Paper
Shape optimization
Theoretical and Applied Mechanics
Topology optimization
Mesh adaptation
Shape sensitivity
Convective reinitialization
Shape optimization
Hyperbolic tangent level set function
set function
Hyperbolic tangent level
ISSN:1615-147X, 1615-1488
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Zusammenfassung:The aim of this research is to construct a shape optimization method based on the convected level set method, in which the level set function is defined as a truncated smooth function obtained by using a sinus filter based on a hyperbolic tangent function. The local property of the hyperbolic tangent function dramatically reduces the generation of red the error between the specified profile of the hyperbolic tangent function and the level set function that is updated using a time evolution equation. In addition, the small size of the error facilitates the use of convective reinitialization, whose basic idea is that the reinitialization is embedded in the time evolution equation, whereas such treatment is typically conducted in a separate calculation in conventional level set methods. The convected level set method can completely avoid the need for additional calculations when performing reinitialization. The validity and effectiveness of our presented method are tested with a mean compliance minimization problem and a problem for the design of a compliant mechanism.
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-016-1444-z