Mathematical Problems in Engineering

Research Article

Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid-Structure Interaction

Table 1

Relation between convergence measure 𝛿 𝑛 e and 𝐿 ∞ error 𝜀 𝐿 ∞ for the mean 𝜇 𝛼 and standard deviation 𝜎 𝛼 at 𝑈 ∗ = 6 . 2 5 .
𝑛 e 𝑛 s Mean 𝜇 𝛼 Standard deviation 𝜎 𝛼
conv. 𝛿 𝑛 e error 𝜀 𝐿 ∞ conv. 𝛿 𝑛 e error 𝜀 𝐿 ∞
1 3 — 1 . 5 1 5 ⋅ 1 0 − 1 — 1 . 5 3 3 ⋅ 1 0 0
2 5 1 . 1 5 1 ⋅ 1 0 − 1 4 . 1 1 5 ⋅ 1 0 − 2 7 . 1 1 7 ⋅ 1 0 − 1 4 . 2 9 3 ⋅ 1 0 − 1
4 9 3 . 3 3 4 ⋅ 1 0 − 2 8 . 0 8 8 ⋅ 1 0 − 3 3 . 1 9 0 ⋅ 1 0 − 1 1 . 0 9 7 ⋅ 1 0 − 1
8 17 6 . 3 3 2 ⋅ 1 0 − 3 1 . 7 6 8 ⋅ 1 0 − 3 6 . 9 1 5 ⋅ 1 0 − 2 5 . 1 3 8 ⋅ 1 0 − 2