A Novel Aerodynamic Shape Optimization Approach for Three-Dimensional Turbulent Flows

A novel gradient-based computational tool for efficient three-dimensional aerodynamic shape optimization is presented. An integrated approach is applied to geometry parameterization and mesh movement based on B-spline surfaces and volumes. Grid refinement and redistribution techniques are introduced to enable the fitting of B-spline volumes to grids appropriate for computing turbulent flows. The three-dimensional Reynolds-averaged Navier-Stokes equations are solved using a parallel Newton-Krylov-Schur flow analysis algorithm that makes use of Summation-by-Parts (SBP) operators and Simultaneous Approximation Terms (SATs) at block interfaces and boundaries. Gradients are evaluated using the discrete-adjoint method. The performance of the algorithm is demonstrated through a series of optimization studies, including a pitching moment coefficient optimization in subsonic flow and lift-constrained drag minimizations in transonic flow.

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