Assessment of Strategies for Interpolating POD Based Reduced Order Model and Application to

The Proper Orthogonal Decomposition (POD) technique has been widely applied to Computational Fluid Dynamics (CFD) formulation to obtain reduced-order model for unsteady aerodynamic applications. However, it should be noted that the robustness and accuracy of these reduced-order models are strictly related to the reference parameters from which POD modes have been derived. Any variation of these parameters (Mach number, angle of attack...etc) requires a new computation of the ROM which devalues the eectiveness of the POD method in an industrial application. The objective of this paper is to analyse dierent ROM adaptation schemes, critically describing the advantages and drawbacks of the dierent approaches and their application in uidstructure interactions problems. After a general presentation of the application of the POD method to linearized Euler equations, the mathematical formulation of the interpolation schemes is presented. First a simple test on a 2D wing section is performed in transonic behaviour and then the performances of the dierent interpolation strategies is tested on an industrial test case.