- Thomas, Jeffrey P. and Dowell, Earl H. and Hall, Kenneth C., Three-dimensional transonic aeroelasticity using proper orthogonal decomposition-based reduced-order models,
Journal of Aircraft, vol. 40 no. 3
pp. 544 - 551 .
(last updated on 2007/04/10)
The proper orthogonal decomposition (POD-) based reduced-order modeling technique for modeling unsteady frequency-domain aerodynamics is developed for a large-scale computational model of an inviscid flow transonic wing configuration. When the methodology is used, it is shown that a computational fluid dynamic model with over three-quarters of a million degrees of freedom can be reduced to a system with just a few dozen degrees of freedom, while still retaining the accuracy of the unsteady aerodynamics of the full system representation. Furthermore, POD vectors generated from unsteady flow solution snapshots based on one set of structural mode shapes can be used for different structural mode shapes so long as solution snapshots at the endpoints of the frequency range of interest are included in the overall snapshot ensemble. Thus, the snapshot computation aspect of the method, which is the most computationally expensive part of the procedure, does not have to be fully repeated as different structural configurations are considered.
Mathematical models;Three dimensional;Unsteady flow;Frequency domain analysis;Vectors;Calculations;Matrix algebra;Computational fluid dynamics;Laplace transforms;Natural frequencies;