Efficient Local Level Set Method without Reinitialization and Its Appliance to Topology Optimization
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-21
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The local level set method (LLSM) is higher than the LSMs with global models in computational efficiency, because of the use of narrow-band model.
The computational efficiency of the LLSM can be further increased by avoiding the reinitialization procedure by introducing a distance regularized equation (DRE).
The numerical stability of the DRE can be ensured by a proposed conditionally stable difference scheme under reverse diffusion constraints.
Nevertheless, the proposed method possesses no mechanism to nucleate new holes in the material domain for two-dimensional structures, so that a bidirectional evolutionary algorithm based on discrete level set functions is combined with the LLSM to replace the numerical process of hole nucleation.
Numerical examples are given to show high computational efficiency and numerical stability of this algorithm for topology optimization.
American Psychological Association (APA)
Zhang, Wenhui& Zhang, Yaoting. 2016. Efficient Local Level Set Method without Reinitialization and Its Appliance to Topology Optimization. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112448
Modern Language Association (MLA)
Zhang, Wenhui& Zhang, Yaoting. Efficient Local Level Set Method without Reinitialization and Its Appliance to Topology Optimization. Mathematical Problems in Engineering No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1112448
American Medical Association (AMA)
Zhang, Wenhui& Zhang, Yaoting. Efficient Local Level Set Method without Reinitialization and Its Appliance to Topology Optimization. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112448
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112448