Optimal Shape Design for Radiative Enclosures Using NURBS

2009 ◽  
Author(s):  
Farbod Fakhrabadi ◽  
Farshad Kowsary
Keyword(s):  
Optimization Method ◽  
Optimal Shape ◽  
Curvilinear Coordinates ◽  
Shape Design ◽  
Control Points ◽  
Optimal Shape Design ◽  
Design Variables ◽  
Analysis Technique ◽  
Radiosity Equation ◽  
Nurbs Surfaces

This article presents an optimal shape design methodology for diffuse-walled radiant enclosures. In this study, the shape of the enclosure is parameterized by means of non-uniform rational B-spline (NURBS) surfaces, and their control points represent the design variables. The enclosure geometry is discretized by choosing the parameters of NURBS surfaces as generalized curvilinear coordinates, and the radiosity equation is solved using the infinitesimal-area analysis technique developed by Daun and Hollands [1]. The simplified conjugate-gradient method (SCGM) is used as the optimization method to obtain the optimal shape and adjust the design variables intelligently. The methodology is demonstrated by optimizing the shape profile of a cavity with the objective of enhancing the apparent emittance.

Optimal Shape Design for Heat Convection Problems Using NURBS

2009 ◽  
Author(s):  
Farbod Fakhrabadi ◽  
Farshad Kowsary
Keyword(s):  
Design Methodology ◽  
Optimization Method ◽  
Optimal Shape ◽  
Heat Convection ◽  
Curvilinear Coordinates ◽  
Shape Design ◽  
Control Points ◽  
Optimal Shape Design ◽  
Design Variables ◽  
Nurbs Surfaces

This article presents an optimal shape design methodology for heat convection problems. In this study, the shape of the convective medium is parameterized by means of non-uniform rational B-spline (NURBS) surfaces, and their control points represent the design variables. The convective domain is discretized by choosing the parameters of NURBS surfaces as generalized curvilinear coordinates, and the conservation equations are solved using the finite difference method. The simplified conjugate-gradient method (SCGM) is used as the optimization method to obtain the optimal shape and adjust the design variables intelligently. The methodology is demonstrated by optimizing the shape profile of a natural convective cavity with the objective of reducing the maximum wall temperature.

Optimal Shape Design for Heat Conduction Problems Using NURBS

2009 ◽  
Author(s):  
Farbod Fakhrabadi ◽  
Farshad Kowary
Keyword(s):  
Heat Conduction ◽  
Optimization Method ◽  
Optimal Shape ◽  
Curvilinear Coordinates ◽  
Shape Design ◽  
Control Points ◽  
Optimal Shape Design ◽  
Design Variables ◽  
Enhancing Heat Transfer ◽  
Nurbs Surfaces

This article presents an optimal shape design methodology for heat conduction problems. In this study, the shape of the conductive medium is parameterized by means of non-uniform rational B-spline (NURBS) surfaces, and their control points represent the design variables. The conductive domain is discretized by choosing the parameters of NURBS surfaces as generalized curvilinear coordinates, and the heat conduction equation is solved using the finite difference method. The simplified conjugate-gradient method (SCGM) is used as the optimization method to obtain the optimal shape and adjust the design variables intelligently. The methodology is demonstrated by optimizing the profile of a straight fin with the objective of enhancing heat transfer rate and reducing the fin mass.

Optimal Shape Design of Pressure-Driven Microchannels Using Adjoint Variable Method

2007 ◽  
Author(s):  
Osamu Tonomura ◽  
Tatsuya Takase ◽  
Manabu Kano ◽  
Shinji Hasebe
Keyword(s):  
Pressure Drop ◽  
Incompressible Flows ◽  
Optimal Shape ◽  
Variable Method ◽  
Shape Design ◽  
Optimal Shape Design ◽  
Adjoint Variable Method ◽  
Adjoint Variable ◽  
Initial Shape ◽  
Design Variables

The shape of microchannels is an important design variable to achieve the desired performance. Since most microchannels are, at present, designed by trial and error, a systematic optimal shape design method needs to be established. Computational fluid dynamics (CFD) is often used to rigorously examine the influence of the shape of microchannels on heat and mass transport phenomena in the flow field. However, the rash combination of CFD and the optimization technique based on evaluating gradients of the cost function requires enormous computation time when the number of design variables is large. Recently, the adjoint variable method has attracted the attention as an efficient sensitivity analysis method, particularly for aeronautical shape design, since it allows one to successfully obtain the shape gradient functions independently of the number of design variables. In this research, an automatic shape optimization system based on the adjoint variable method is developed using C language on a Windows platform. To validate the effectiveness of the developed system, pressure drop minimization problems of a 180° curved microchannel and a branched microchannel in incompressible flows under constant volume conditions are solved. These design examples illustrate that the pressure drop of the optimally designed microchannels is decreased by about 20% ∼ 40% as compared with that of the initial shape.

3-D optimal shape design of ferromagnetic pole in MRI magnet of open permanent-magnet type

2002 ◽  
Vol 12 (1) ◽  
pp. 1467-1470 ◽  
Author(s):  
Dong-Hun Kim ◽  
Byung-Sung Kim ◽  
Joon-Ho Lee ◽  
Wan-Soo Nah ◽  
Il-Han Park
Keyword(s):  
Permanent Magnet ◽  
Optimal Shape ◽  
Shape Design ◽  
Optimal Shape Design

Sensitivity analysis for optimal shape design problems

1989 ◽  
Vol 1 (4) ◽  
pp. 241-251 ◽  
Author(s):  
P. Neittaanmäki ◽  
K. Salmenjoki
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Shape ◽  
Shape Design ◽  
Optimal Shape Design ◽  
Design Problems
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