In this paper we present the results of some three-dimensional computations of boundary optimal control problems in incompressible Magnetohydrodynamics, obtained with the lifting function approach and with the implementation of a gradient algorithm for the solution of the optimality system. Possible applications of these problems are manifold, such as aluminum casting in metallurgy, crystal growth in semiconductor industry and liquid metal MHD pumps and generators. In these applications it is of great interest to achieve the control on the velocity profile through the Lorentz force acting on the fluid. The magnetic field on the boundary can be used as a means for steering the velocity profile to a desired one or for minimizing other quantities of interest. With the lifting function
G. Bornia, S. Manservisi (2011). THREE-DIMENSIONAL COMPUTATIONS FOR BOUNDARY OPTIMAL CONTROL PROBLEMS IN INCOMPRESSIBLE MAGNETOHYDRODYNAMICS. BELEK : ECCOMAS.
THREE-DIMENSIONAL COMPUTATIONS FOR BOUNDARY OPTIMAL CONTROL PROBLEMS IN INCOMPRESSIBLE MAGNETOHYDRODYNAMICS
MANSERVISI, SANDRO
2011
Abstract
In this paper we present the results of some three-dimensional computations of boundary optimal control problems in incompressible Magnetohydrodynamics, obtained with the lifting function approach and with the implementation of a gradient algorithm for the solution of the optimality system. Possible applications of these problems are manifold, such as aluminum casting in metallurgy, crystal growth in semiconductor industry and liquid metal MHD pumps and generators. In these applications it is of great interest to achieve the control on the velocity profile through the Lorentz force acting on the fluid. The magnetic field on the boundary can be used as a means for steering the velocity profile to a desired one or for minimizing other quantities of interest. With the lifting functionI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
