Nonlinear model reduction using multiple expansion bases
نویسندگان
چکیده
Nonlinear model reduction is a critical component in the design process of control strategies for complex flows in the nonlinear regime. A Galerkin projection based on POD-modes is developed in this study that takes advantage of multiple bases for particular components of the governing equations. These bases are then linked by the Discrete Empirical Interpolation Method (DEIM) to ultimately arrive at a reduced-order, nonlinear dynamic system that does no longer contain full-degree-of-freedom operations. Two test cases are included: the compressible flow in the wake of a NACA-0012 airfoil and a compressible impinging two-dimensional jet. Promising results have been obtained for both cases.
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