An order-of-accuracy convergence study is presented for a methodology to predict dynamic instabilities arising from fluid–structure coupling. The methodology models the fluid with compressible Euler equations and the structure with Timoshenko beam elements. The tightly coupled equations of the two disciplines are linearized to formulate a stability eigenvalue problem, which is rewritten in a form that is well known as the V−g flutter solution method. The rate of convergence is measured in the norm defined by the relative error in instability speed for polynomial orders from 1 to 4. This is done for the divergence mode at Mach 0.7 and the flutter mode at Mach 1.1. The influence of relative order of basis functions for structural and fluid disciplines is investigated on the rate of convergence. The results show that, for most cases, the error converges at a rate of approximately h2p for a pth-order polynomial. A comparison of the computational cost shows that, in comparison with the conventional linear interpolation schemes, the high-order polynomials can provide the same level of accuracy with over an order-of-magnitude reduction in computational cost.
Higher-Order Transonic Flutter Predictions
2017
Article (Journal)
English
Higher-Order Transonic Flutter Predictions
AIAA | 2017
|Higher-Order Transonic Flutter Solutions (AIAA 2014-0336)
British Library Conference Proceedings | 2014
|Inter-Grid Transfer Influence on Transonic Flutter Predictions
British Library Conference Proceedings | 2010
|