Advanced solution methods in topology optimization and shape sensitivity analysis

1996 ◽  
Vol 13 (5) ◽  
pp. 57-90 ◽  
Author(s):  
Manolis Papadrakakis ◽  
Yiannis Tsompanakis ◽  
Ernest Hinton ◽  
Johann Sienz
Keyword(s):  
Sensitivity Analysis ◽  
Topology Optimization ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Solution Methods

A Velocity Predictor–Corrector Scheme in Level Set-Based Topology Optimization to Improve Computational Efficiency

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
Benliang Zhu ◽  
Xianmin Zhang ◽  
Sergej Fatikow
Keyword(s):  
Sensitivity Analysis ◽  
Topology Optimization ◽  
Velocity Field ◽  
Level Set Method ◽  
Level Set ◽  
Velocity Fields ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Predictor Corrector ◽  
Mean Compliance

This paper presents an optimization method for solving level set-based topology optimization problems. A predictor–corrector scheme for constructing the velocity field is developed. In this method, after the velocity fields in the first two iterations are calculated using the shape sensitivity analysis, the subsequent velocity fields are constructed based on those obtained from the first two iterations. To ensure stability, the velocity field is renewed based on the shape sensitivity analysis after a certain number of iterations. The validity of the proposed method is tested on the mean compliance minimization problem and the compliant mechanisms synthesis problem. This method is quantitatively compared with other methods, such as the standard level set method, the solid isotropic microstructure with penalization (SIMP) method, and the discrete level set method.

CFL3D.ADII (Version 2.0) - An efficient, accurate, general-purpose code for flow shape-sensitivity analysis

1997 ◽  
Author(s):  
Arthur Taylor, III ◽  
Amidu Oloso ◽  
James Newman, III ◽  
Arthur Taylor, III ◽  
Amidu Oloso ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
General Purpose ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Version 2.0
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