Research Article

Highly Accurate Solution of Limit Cycle Oscillation of an Airfoil in Subsonic Flow

Table 1

Comparisons of the amplitudes and frequencies obtained by the HAM ( 𝜆 = 1 ) with numerical solutions.

𝑈 𝑈 = 1 . 5 𝑈 𝐿 𝑈 = 2 𝑈 𝐿

HAMFrequencyPitchPlungeFrequencyPitchPlunge

𝑁 = 4 0 0.0775636561280.137381457860.3568580.06586090.21848360.6945022
𝑁 = 8 0 0.0775636064760.137381511720.356858140.06578670.21856460.6964279
𝑁 = 1 2 0 0.077563606470900.137381511730.356858150.06578330.21856850.6965209
Numerical0.07756350.13738160.35685900.06578290.21856890.6965298