Christophe Blondeau, Cédric Liauzun

DOI Number: N/A

Conference number: IFASD-2019-032

This paper presents a modular implementation of a time spectral (TS) solver as well as an adjoint TS sensitivity analysis module. This modular framework is implemented in Python and linked to the kernel of a customized version of the elsA CFD software which has been recently equipped with the capability of exposing the flux Jacobian matrices and explicit flux residuals. This organization is very flexible as it allows a rapid prototyping of promising numerical strategies in a Python environment while still achieving a good level of performance. A main advantage is to relieve the current limitation of the existing TSM kernel solver which duplicates in core memory the fluid blocks as many times as the number of selected time instants in the period. Instead, several instances of the CFD steady-state solver run concurrently (one instance of elsA for each time instant in the period) and are synchronized through the external Python layer. The new TS solver is compared to the kernel one on the NACA64A10 oscillating airfoil in transonic regime. Following the same lines, a prototype adjoint TS sensitivity analysis module is developed. A ten design parameter shape optimization of the NACA64A10 pro-file is performed, aiming to minimize the pressure drag coefficient under a lift coefficient constraint. As a demonstration, the optimal shape produced by the optimization of the pressure drag coefficient of the fixed airfoil at steady mean flow conditions is compared to the optimal shape which minimizes the average pressure drag coefficient of the oscillating airfoil over a time period.

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In Categories: IFASD 2019, Reduced Order Models
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