Windowing Regularization Techniques for Unsteady Aerodynamic Shape Optimization - S. Schotthöfer
Channel: SU2 - Open Source CFD
Date: 2020-06-07

Contribution to the 1st SU2 Conference 2020 (https://su2foundation.org/su2conference2020)

Title:
Windowing Regularization Techniques for Unsteady Aerodynamic Shape Optimization

Speaker: 
Steffen Schotthöfer, TU Kaiserslautern

Abstract:
In this work, we consider aerodynamic shape optimization with periodic unsteady flows governed by the URANS equations. Hence the resulting output functions acting as objective or constraint functions of the optimization are themselves periodic with unknown period length, which may depend on the design parameter of said optimization. Sensitivity Analysis on the time-average of a function with these properties turns out to be difficult. Therefore, we explore methods to regularize the time average of such a function with the so called windowing-approach. Furthermore, we embed these regularizers into the discrete adjoint solver for the URANS equations of the multi-physics and optimization software SU2. Finally, we exhibit a comparison study between the classical non-regularized optimization procedure and the ones enhanced with regularizers of different smoothness and show, that the latter result in a more robust optimization.