Accuracy Estimation of Sensitivity Analysis with Adjoint Variable Method for 2D Viscous Flow Problem

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  • 随伴変数法による粘性流場の感度解析の精度評価
  • ズイハン ヘンスウホウ ニ ヨル ネンセイ ナガレバ ノ カンド カイセキ ノ セイド ヒョウカ

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Adjoint variable method (AVM) is known as one of time saving sensitivity analysis method for hydrodynamic shape optimization technique based on CFD calculation and gradient based optimization algorism. But it is rare that the accuracy of the sensitivity coefficient calculated by AVM or its dependency on the computing scheme is evaluated. In this study the adjoint variable method is applied for sensitivity analysis of two dimensional viscous flow around a wing. The objective function is lift coefficient calculated from CFD analysis and design parameters are coordinates of Bezier curve's control point which form the profile of the wing. For estimating the accuracy and its dependency on the computing scheme or conditions, two kind of discretization scheme for flow computation are applied and three kind of computational grid are used. The calculated sensitivity coefficients by AVM on each condition are compared with ones which are calculated from finite differential approximation. And the influence of the convergence accuracy of adjoint equation to the calculated results of sensitivity coefficient is also evaluated.

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