Optimal control of thermal fluid flow using automatic differentiation

2008 ◽  
Vol 43 (6) ◽  
pp. 839-846
Author(s):  
Ayako Kamikawa ◽  
Mutsuto Kawahara
2017 ◽  
Vol 126 ◽  
pp. 251-263 ◽  
Author(s):  
Chinnapat Panwisawas ◽  
Bama Perumal ◽  
R. Mark Ward ◽  
Nathanael Turner ◽  
Richard P. Turner ◽  
...  

2000 ◽  
Vol 88 (3) ◽  
pp. 261-301 ◽  
Author(s):  
K. Kunisch ◽  
X. Marduel

Author(s):  
Yury Evtushenko ◽  
Vladimir Zubov ◽  
Anna Albu

The optimal control of the metal solidification process in casting is considered. Quality of the obtained detail greatly depends on how the crystallization process proceeds. It is known that to obtain a model of a good quality it is desirable that the phase interface would be as close as possible to a plane and that the speed of its motion would be close to prescribed. The proposed mathematical model of the crystallization process is based on a three dimensional two phase initial-boundary value problem of the Stefan type. The velocity of the mold in the furnace is used as the control. The control satisfying the technological requirements is determined by solving the posed optimal control problem. The optimal control problem was solved numerically using gradient optimization methods. The effective method is proposed for calculation of the cost functional gradient. It is based on the fast automatic differentiation technique and produces the exact gradient for the chosen approximation of the optimal control problem.


Author(s):  
Shuichi Torii ◽  
Wen-Jei Yang ◽  
Naoko Iino

A theoretical study is performed to investigate unsteady thermal and fluid flow transport phenomena over vertical slot-perforated flat fins with heat sink, which are placed in a natural convection environment. Emphasis is placed on the effects of Rayleigh number and fin pitch on heat transfer performance and velocity and thermal fields. It is found from the study that (i) in the high Rayleigh number region, the alternating changes in the fluid flow take place for larger fin pitch, (ii) the alternating flow in the space area between two fins is mutually interacted by the corresponding one from the adjacent in-line plate fines, resulting in an amplification of heat transfer performance, and (iii) heat-transfer performance is intensified with an increase in the fin pitch, whose trend becomes larger in the higher Rayleigh number region considered here.


Sign in / Sign up

Export Citation Format

Share Document