Title: Metamodelling approach using radial basis functions, stochastic search algorithm and CFD – application to blade cascade design

Authors: Edna R. Da Silva; Nelson Manzanares-Filho; Ramiro G. Ramirez Camacho

Addresses: UNIFEI, Federal University of Itajubá, P.O. Box 50, CEP 37500 903, Pinheirinho, Itajubá – MG, Brazil. ' UNIFEI, Federal University of Itajubá, P.O. Box 50, CEP 37500 903, Pinheirinho, Itajubá – MG, Brazil. ' UNIFEI, Federal University of Itajubá, P.O. Box 50, CEP 37500 903, Pinheirinho, Itajubá – MG, Brazil

Abstract: This paper discusses the viability of using a metamodelling technique in conjunction with a controlled random search algorithm (CRSA) for global optimisation of costly functions. CRSA is a stochastic, population-set based algorithm, capable of performing global optimisation tasks efficiently. The metamodel technique is based on the iterative construction of response surfaces with radial basis functions (inverse multiquadrics) using the points exactly evaluated during the optimisation process. Cyclic search patterns for metamodel constrained optimisations are iteratively used for determining candidate points using CRSA. The methodology is tested on some Dixon-Szeg

Keywords: metamodelling; global optimisation; controlled random search algorithm; CRSA; constrained optimisation; response surfaces; CORS; computational fluid dynamics; CFD; blade cascade design; radial basis functions; inverse multiquadrics; airfoil camber; lift-to-drag ratio; airfoil pitch.

DOI: 10.1504/IJMMNO.2012.044715

International Journal of Mathematical Modelling and Numerical Optimisation, 2012 Vol.3 No.1/2, pp.82 - 97

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 04 Jan 2012 *

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