Numerical method for solving fluid flow and heat transfer equations by design optimization
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A numerical procedure for solving fluid flow and heat transfer equations by design optimization is presented. The procedure uses an optimization program based on an exterior penalty function method to solve the partial differential equations. The intent of the investigation is to show that the method is feasible so that the entire design process can be incorporated into an optimization algorithm. Three problems are chosen to examine this method: laminar flow through a rectangular duct; heat conduction on a flat plate; and viscous, incompressible flow over a sphere. Comparison of the optimization approach with the exact solution, when available, and approximate methods is made. The results of the investigation show that the method is feasible, but modifications in the optimization approach are necessary to improve the results.
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.