Shape optimization of laboratory induction pump

The design optimization of the laboratory induction pump is carried out. The forward task is formulated as a nonlinear magnetic problem that is solved by the professional code COMSOL Multiphysics. The backward (optimal design) problem is solved by Coordinate search, BOBYQA, Monte Carlo, and Nelder-Mead algorithms implemented in COMSOL and also by some other algorithms built in OPTILAB, which is a module of open source code Agros Suite. The methodology is illustrated with an example. The result of optimization is the reduction of mass of selected parts of the pump, while the resultant force acting on the secondary element increases. Benefits of all optimization methods are discussed.