A methodology to minimize blade secondary losses by modifying turbine end walls is presented. The optimization is addressed using a gradient-based method, where the computation of the gradient is performed using an adjoint code and the secondary kinetic energy is used as a cost function. The adjoint code is implemented on the basis of the discrete formulation of a parallel multigrid unstructured mesh Navier–Stokes solver. The results of the optimization of two end walls of a low-pressure turbine row are shown.
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Profiled End Wall Design Using an Adjoint Navier–Stokes Solver
Corral, R., and Gisbert, F. (March 21, 2008). "Profiled End Wall Design Using an Adjoint Navier–Stokes Solver." ASME. J. Turbomach. April 2008; 130(2): 021011. https://doi.org/10.1115/1.2751143
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