Multi-parameter aerodynamic modeling for aeroelastic coupling in turbomachinery

A multi-parameter method based on multivariate spline function approximation and minimum state smoothing for modeling the generalized aerodynamic forces is proposed in order to reduce the cost of the aerodynamic computations in the solution of the coupled fluid–structure problem in turbomachinery. This method allows simultaneous variations of several parameters and provides the solutions of the coupled systems at arbitrary values of the parameters using the generalized aerodynamic forces computed at the few values of the parameters. This multi-parameter aerodynamic modeling method is applied to a large-chord blade, for which the two chosen parameters are the rotation speed and the inter-blade phase angle.