Presented is a technique for developing a nonlinear reduced order model of a computational fluid dynamic solver. The method is based on a Taylor series expansion of a frequency domain harmonic balance computational fluid dynamic solver residual. The computational routines used to compute the matrices and tensors of the Taylor series expansion are created using automatic differentiation. A Ritz type expansion using proper orthogonal decomposition shapes is then used in the Taylor series expansion to create the nonlinear reduced order model. Results are presented and compared to a linear reduced order model for an inviscid transonic airfoil configuration.
Airfoils;Frequency domain analysis;Nonlinear systems;Problem solving;Transonic aerodynamics;