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...

Full description

Saved in:
Bibliographic Details
Published in:Structural and multidisciplinary optimization Vol. 54; no. 3; pp. 659 - 672
Main Authors: Yaji, Kentaro, Otomori, Masaki, Yamada, Takayuki, Izui, Kazuhiro, Nishiwaki, Shinji, Pironneau, Olivier
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
Springer Nature B.V
Springer Verlag
Subjects:
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-016-1444-z