Shape-optimization of 2D hydrofoils using an isogeometric BEM solver

K.V. Kostas, A.I. Ginnis, C.G. Politis, P.D. Kaklis

Research output: Contribution to journalArticle

  • 5 Citations

Abstract

In this paper, an optimization procedure, based on an Isogeometric BEM solver for the potential flow, is developed and used for the shape optimization of hydrofoils. The formulation of the exterior potential-flow problem reduces to a Boundary-Integral Equation (BIE) for the associated velocity potential exploiting the null-pressure jump Kutta condition at the trailing edge. The numerical solution of the BIE is performed by an Isogeometric Boundary-Element Method (BEM) combining a generic B-splines parametric modeler for generating hydrofoil shapes, using a set of eight parameters, the very same basis of the geometric representation for representing the velocity potential and collocation at the Greville abscissas of the knot vector of the hydrofoil's B-splines representation. Furthermore, the optimization environment is developed based on the geometric parametric modeler for the hydrofoil, the Isogeometric BEM solver and an optimizer employing a controlled elitist genetic algorithm. Multi-objective hydrofoil shape optimization examples are demonstrated with respect to the criteria (i) maximum lift coefficient and (ii) minimum deviation of the hydrofoil area from a reference area.
LanguageEnglish
Pages79-87
Number of pages9
JournalComputer-Aided Design
Volume82
Issue number1
Early online date16 Jul 2016
DOIs
StatePublished - 1 Jan 2017

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Hydrofoils
Shape optimization
Boundary element method
Boundary integral equations
Potential flow
Splines
Genetic algorithms

Keywords

  • isogeometric analysis
  • lifting flows
  • NURBS

Cite this

Kostas, K.V. ; Ginnis, A.I. ; Politis, C.G. ; Kaklis, P.D./ Shape-optimization of 2D hydrofoils using an isogeometric BEM solver. In: Computer-Aided Design. 2017 ; Vol. 82, No. 1. pp. 79-87
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Shape-optimization of 2D hydrofoils using an isogeometric BEM solver. / Kostas, K.V.; Ginnis, A.I.; Politis, C.G.; Kaklis, P.D.

In: Computer-Aided Design, Vol. 82, No. 1, 01.01.2017, p. 79-87.

Research output: Contribution to journalArticle

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