Mathematical Problems in Engineering

Research Article

Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid-Structure Interaction

Table 2

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