Shape-topology optimization for Navier–Stokes problem using variational level set method

We consider the shape-topology optimization of the Navier–Stokes problem. A new algorithm is proposed based on the variational level set method. By this algorithm, a relatively smooth evolution can be maintained without re-initialization and drastic topology change can be handled easily. Finally, th...

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 222; no. 2; pp. 487 - 499
Main Authors: Duan, Xian-Bao, Ma, Yi-Chen, Zhang, Rui
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 15.12.2008
Elsevier
Subjects:
Calculus of variations and optimal control
Exact sciences and technology
Mathematical analysis
Mathematics
Navier–Stokes problem
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Sciences and techniques of general use
Sensitivity analysis
Shape-topology optimization
Variational level set method
Sensitivity analysis
Shape-topology optimization
Variational level set method
49Q12
35Q30
49Q10
Navier–Stokes problem
93B40
Navier-Stokes problem
Stokes problem
Level set
Optimization method
Algorithm
Variational problem
Numerical analysis
Applied mathematics
Mathematical programming
ISSN:0377-0427, 1879-1778
Online Access:Get full text
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Summary:We consider the shape-topology optimization of the Navier–Stokes problem. A new algorithm is proposed based on the variational level set method. By this algorithm, a relatively smooth evolution can be maintained without re-initialization and drastic topology change can be handled easily. Finally, the promising features of the proposed method are illustrated by two benchmark examples.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2007.11.016