Kun Wang
ABSTRACT
In this paper, an adjoint-based airfoil optimization algorithm is developed based on isogeometric discontinuous Galerkin (IDG) method for compressible Euler equations. We first parameterize the airfoil by B-spline curve approximation with some control points viewed as design variables, and build the B-spline representation of the flow field with the curve to apply global refined IDG method for flow solution. With the isogeometric nature, not only all the geometrical cells but also the numerical basis functions can be analytically expressed by the design variables. Consequently, the gradient involved in SQP optimization algorithm is totally estimated in an accurate approach indicating that the numerical solutions and objective could be differentiable with respect to those variables. The proposed algorithm is demonstrated on RAE2822 airfoil with inviscid transonic flow.
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Index Terms
- Airfoil Optimization based on Isogeometric Discontinuous Galerkin
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