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Application of the adjoint multi-point and the robust optimization of shock control bump for transonic aerofoils and wings

Mazaheri, K ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1080/0305215X.2016.1139811
  3. Publisher: Taylor and Francis Ltd
  4. Abstract:
  5. 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
  6. Keywords:
  7. Shock control bump ; Single- and multi-point adjoint optimization ; Three-dimensional bump ; Transonic aerofoil ; Algorithms ; Drag ; Drag reduction ; Flexible wings ; Shock absorbers ; Shock waves ; Adjoint optimizations ; Optimization algorithms ; Optimization procedures ; Robust optimization ; Shock control ; Threedimensional (3-d) ; Two Dimensional (2 D) ; Optimization
  8. Source: Engineering Optimization ; Volume 48, Issue 11 , 2016 , Pages 1887-1909 ; 0305215X (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/0305215X.2016.1139811?journalCode=geno20