Abstract

Acontroller algorithmusing a predefined set of fuzzy rules is implemented for fast convergence of a computational fluid dynamics simulation in an enclosed cavity. Relaxation factors are adjusted using the rule set to heuristically guide the iterative scheme towards convergence. Themodel problem of natural convection in an inclined rectangular cavity is analyzed using this scheme. To test the efficacy of the fuzzy logic guidancemethod, finite thickness walls with conjugate heat transfer are imposed. Governing equations of continuity, momentum, and energy in laminar flow are solved using a finite difference method. The performance of the controller is compared with that of the simulation with constant relaxation factors. Overall, the number of iterations required for the controller algorithm using fuzzy logic is comparable to the number of iterations obtained using constant relaxation factors. However, six cases of high Grashof number and high tilt angle, which do not converge with any fixed relaxation factor, can be solved using the fuzzy controller. The probability of convergence with the controller is higher than it is when using a fixed relaxation factor.

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