Aerodynamic optimal shape design based on body-fitted grid generation
type: Item
instance of: scholarly article
title: Aerodynamic optimal shape design based on body-fitted grid generation
zbMATH Open document ID: 1407.76052
DOI: 10.1155/2014/505372
author: Farzad Mohebbi
author: M. Sellier
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper is concerned with an optimal shape design problem in aerodynamics. The inverse problem in question consists in finding the optimal shape an airfoil placed in a potential flow at a given angle of attack should have such that the pressure distribution on its surface matches a desired one. The numerical method to achieve this aim is based on a body-fitted grid generation technique (elliptic, O-type) to generate a mesh over the airfoil surface and solve for the flow equation. The O-type scheme is used due to its ability to generate a high quality (fine and orthogonal) grid around the airfoil surface. This paper describes a novel and very efficient sensitivity analysis scheme to compute the sensitivity of the pressure distribution to variation of grid node positions and both the conjugate gradient method (CGM) and a version of the quasi-Newton method (i.e., BFGS) are used as optimization algorithms to minimize the difference between the computed pressure distribution on the airfoil surface and desired one. The elliptic grid generation technique allows us to map the physical domain (body) onto a fixed computational domain and to discretize the flow equation using the finite difference method (FDM).
Mathematics Subject Classification ID: 76G25
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 7016606
describes a project that uses: JavaFoil
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/505372
OpenAlex ID: W2002179322
Wikidata QID: Q59067972
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description: scientific article; zbMATH DE number 7016606