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D. I. Papadimitriou and K. C. Giannakoglou Third-order sensitivity analysis for robust aerodynamic design using continuous adjoint International Journal for Numerical Methods in Fluids 71

Version of Record online: 12 APR 2012 | DOI: 10.1002/fld.3677

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An objective function for robust design problems includes the mean value and standard deviation of the shape performance, that is first-order and second-order derivatives with respect to the environmental variables, if second-order Taylor expansion is used. Working with gradient-based methods, this function should be differentiated with respect to the design variables. A method, based on the continuous adjoint and direct differentiation, for computing these third-order mixed derivatives is presented with applications in ducts and turbomachinery cascades.

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