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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2015, Vol. 36 ›› Issue (6): 2016-2026.doi: 10.7527/S1000-6893.2014.0316

• Electronics and Control • Previous Articles     Next Articles

A high efficient method for computing dynamic derivatives of aircraft based on time spectral method

XIE Lijun, YANG Yunjun, LIU Zhou, ZHOU Weijiang   

  1. China Academy of Aerospace Aerodynamics, Beijing 100074, China
  • Received:2014-07-10 Revised:2014-08-14 Online:2015-06-15 Published:2014-12-01
  • Supported by:

    National Natural Science Foundation of China (11372040)

Abstract:

The engineering application requires the solver of periodic unsteady flows to be of high efficiency and precision. Based on solving the Reynolds-averaged Navier-Stokes (RANS) equations, a fully implicit version of the time spectral method (TSM) is established and the stability problem that occurs as the sampling number grows is improved. The Menter shear-stress transport (SST) turbulence model is discretized with the TSM, which makes the TSM more applicable to practical engineering problems. The TSM is applied to simulate the forced oscillation of NACA0015. The calculated results are in good agreement with the experimental data and the results of the dual time stepping (DTS) method, validating the ability of the TSM to simulate the periodic motion. The hypersonic HBS and the supersonic Finner are taken as typical examples of computing dynamic derivatives using the TSM. Influences of the angle of attack and Mach number on dynamic derivatives are analyzed. Results show that the TSM can acquire the same order of accuracy compared with the DTS method. But the relative efficiency of the TSM improves as the Mach number increases. The efficiency advantage in hypersonic range could be up to an order of magnitude.

Key words: time spectral method, dynamic derivatives, RANS, forced oscillation, Fourier transformation

CLC Number: