Research Article

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

Table 2

Comparisons of the amplitudes and frequencies given by the HAM Pade approximations ( 𝜆 = 1 ) with the numerical solutions, where 𝑈 = 1 . 5 𝑈 𝐿 .

[m, n] HAM PadeFrequencyRelative error (%)PitchRelative error (%)

[ 5 , 5 ] 0.077651009776630.110.137450510522940.05
HAM 100.077703846285050.180.13726535168074−0.08
[ 7 , 8 ] 0.077567463573885e−30.13737312674052−6e−3
150.077593885939524e−20.13735291378024−2e−2
[ 1 0 , 1 0 ] 0.077563945007644e−40.13738142730826−6e−5
HAM 200.077571127404821e−20.13737399877222−5e−3
HAM N = 1200.077563606470900.13738151173287