Application of the adjoint multi-point and the robust optimization of shock control bump for transonic aerofoils and wings. Issue 11 (1st November 2016)

• Record Type: Journal Article
• Authors: Mazaheri, K.; Nejati, A.; Chaharlang Kiani, K.
• Is Part Of: Engineering optimization. Volume 48:Issue 11(2016)
• Page Start: 1887
• Page End: 1909
• Publication Date: 2016-11-01
• Subjects: transonic aerofoil -- drag reduction -- shock control bump -- single- and multi-point adjoint optimization -- robust optimization -- three-dimensional bump; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2016.1139811
• Languages: English
• ISSNs: 0305-215X

Abstract

Abstract : A shock control bump (SCB) is a flow control method which uses a local small deformation in a flexible wing surface to considerably reduce the strength of shock waves and the resulting wave drag in transonic flows. Most of the reported research is devoted to optimization in a single flow condition. Here, both equally and variably weighted multi-point optimization and a robust adjoint optimization scheme are used to optimize the SCB. The numerical simulation of the turbulent viscous flow and a gradient-based adjoint algorithm are used to find the optimum location and shape of the SCB for two benchmark aerofoils. A multi-point optimization method under a constant-lift-coefficient constraint is implemented to find the optimum design of a two-dimensional (2D) SCB and it is observed that the general results are similar to other optimization algorithms. To show that these results are extendable to real three-dimensional (3D) cases, a 3D bump model with 11 parameters is introduced, and it is optimized using both single- and multi-point optimization procedures. Although the 3D flow structure involves much more complexity, the overall results are shown to be similar to the 2D case.