Quasi-periodic Time Spectral Method for Aeroelastic Flutter Analysis

A recently developed quasi-periodic time spectral method is applied to the demanding problem of aeroelastic flutter. Both a standard time-implicit method and a quasi-periodic time spectral method are developed that take into account the coupling among the three fundamental aspects of computational aeroelastic calculations: unsteady flow equations, time dependent structural response to aerodynamics loads, and dynamically moving meshes. These two methods are then compared in order to demonstrate the capability of the quasi-periodic time spectral method to solve aeroelastic flutter problems. Finally, it is demonstrated that the quasi-periodic time spectral method can be used to solve aeroelastic flutter problems.

[1]  Dimitri J. Mavriplis,et al.  Extensions of Time Spectral Methods for Practical Rotorcraft Problems , 2012 .

[2]  Antony Jameson,et al.  Aerodynamics and Flight Control of Flapping Wing Flight Vehicles: A Preliminary Computational Study , 2005 .

[3]  Jan S. Hesthaven,et al.  Spectral Methods for Time-Dependent Problems: Contents , 2007 .

[4]  Antony Jameson,et al.  Time Spectral Method for Periodic Unsteady Computations over Two- and Three- Dimensional Bodies , 2005 .

[5]  D. Gottlieb,et al.  Numerical analysis of spectral methods : theory and applications , 1977 .

[6]  Juan J. Alonso,et al.  Mesh Adaptation Criteria for Unsteady Periodic Flows Using a Discrete Adjoint Time-Spectral Formulation , 2006 .

[7]  A. Jameson,et al.  Application of the Time Spectral Method to Periodic Unsteady Vortex Shedding , 2006 .

[8]  Anubhav Datta,et al.  CFD Prediction of Rotor Loads using Time-Spectral Method and Exact Fluid-Structure Interface , 2008 .

[9]  A. Jameson,et al.  Turbomachinery Applications with the Time Spectral Method , 2005 .

[10]  Gianluca Iaccarino,et al.  Helicopter Rotor Design Using a Time-Spectral and Adjoint-Based Method , 2014 .

[11]  Dimitri J. Mavriplis,et al.  Prediction of Helicopter Maneuver Loads Using BDF/Time Spectral Method on Unstructured Meshes , 2011 .

[12]  Karen Willcox,et al.  Aeroelastic computations in the time domain using unstructured meshes , 1997 .

[13]  K. Isogai,et al.  Transonic dip mechanism of flutter of a sweptback wing. II , 1981 .

[14]  Juan J. Alonso,et al.  Fully-implicit time-marching aeroelastic solutions , 1994 .

[15]  Juan J. Alonso,et al.  Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations , 2002 .

[16]  Gianluca Iaccarino,et al.  Helicopter Rotor Design Using a Time-Spectral and Adjoint-Based Method , 2008 .

[17]  Jeffrey P. Thomas,et al.  Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique , 2002 .

[18]  T. A. Zang,et al.  Spectral methods for fluid dynamics , 1987 .

[19]  Zhi Yang,et al.  Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes , 2010 .