A numerical methodology to assess the quality of the design velocity field computation methods in shape sensitivity analysis

2004 ◽  
Vol 59 (13) ◽  
pp. 1725-1747 ◽  
Author(s):  
J. J. Ródenas ◽  
F. J. Fuenmayor ◽  
J.E. Tarancón
Keyword(s):  
Sensitivity Analysis ◽  
Velocity Field ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Field Computation ◽  
Design Velocity

RECONSTRUCTION OF SINGULAR SURFACES BY SHAPE SENSITIVITY ANALYSIS AND LEVEL SET METHOD

2006 ◽  
Vol 16 (08) ◽  
pp. 1347-1373 ◽  
Author(s):  
GUILLAUME BAL ◽  
KUI REN
Keyword(s):  
Sensitivity Analysis ◽  
Velocity Field ◽  
Level Set Method ◽  
Level Set ◽  
Diffusion Processes ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Singular Surfaces ◽  
Impedance Tomography ◽  
Dimension One

We consider the reconstruction of singular surfaces from the over-determined boundary conditions of an elliptic problem. The problem arises in optical and impedance tomography, where void-like structure or cracks may be modeled as diffusion processes supported on co-dimension one surfaces. The reconstruction of such surfaces is obtained theoretically and numerically by combining a shape sensitivity analysis with a level set method. The shape sensitivity analysis is used to define a velocity field, which allows us to update the surface while decreasing a given cost function, which quantifies the error between the prediction of the forward model and the measured data. The velocity field depends on the geometry of the surface and the tangential diffusion process supported on it. The latter process is assumed to be known in this paper. The level set method is next applied to evolve the surface in the direction of the velocity field. Numerical simulations show how the surface may be reconstructed from noisy estimates of the full, or local, Neumann-to-Dirichlet map.

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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