A Multilevel Hybrid Optimization of Magnetohydrodynamic Problems in Double- Diffusive Fluid Flow

In this paper, we propose a multilevel approach based on our previously developed hybrid optimizer to solve double-diffusive fluidflow problems in the presence of magnetic body forces. The problem consists in a square cavity subjected to a thermosolutal flow where the patterns of the isoconcentration lines are prescribed. Thus, the optimization problem is formulated in terms of the magnetic boundary conditions that must induce such a prescribed concentration profile. The optimizer is based on several deterministic and evolutionary techniques with automatic switching among them, combining the best features of each one. This code was validated against transient benchmark results for thermosolutal problems. r 2006 Elsevier Ltd. All rights reserved.