Bh. Dennis et Gs. Dulikravich, Optimization of magneto-hydrodynamic control of diffuser flows using micro-genetic algorithms and least-squares finite elements, FINITE EL A, 37(5), 2001, pp. 349-363
In this paper we consider the problem of multidisciplinary design and optim
ization (MDO) of a diffuser for a steady, incompressible magnetohydrodynami
c (MHD) flow. Given a fixed diffuser shape, the optimizer should find the d
istribution of the wall magnets that will maximize the static pressure incr
ease from inlet to outlet. This design problem is solved through the use of
a genetic algorithm based optimization program coupled with a finite eleme
nt based MHD simulation program. For MHD simulation, a least-squares finite
element method (LSFEM) based program has been developed. The use of LSFEM
allows the use of equal order approximation functions for all unknowns and
is stable for high Reynolds numbers. Optimization was accomplished using a
micro-genetic algorithm (GA) based program. The micro-GA is capable of sear
ching the design space with a population much smaller than that required by
classical GA. The optimization was performed on a parallel computer compos
ed of commodity PC components. Results show that an applied magnetic field
with the proper strength and distribution can significantly improve the sta
tic pressure rise over the case of no magnetic field. (C) 2001 Elsevier Sci
ence B.V. All rights reserved.