Mathematical Problems in Engineering

Research Article

Higher Period Stochastic Bifurcation of Nonlinear Airfoil Fluid-Structure Interaction

Table 4

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 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 — 7 . 3 1 5 ⋅ 1 0 − 3 — 7 . 5 0 3 ⋅ 1 0 − 3
2 5 6 . 3 1 9 ⋅ 1 0 − 3 9 . 9 6 0 ⋅ 1 0 − 4 7 . 4 4 4 ⋅ 1 0 − 3 1 . 6 1 9 ⋅ 1 0 − 3
4 9 9 . 9 7 9 ⋅ 1 0 − 4 2 . 5 9 8 ⋅ 1 0 − 4 1 . 6 1 5 ⋅ 1 0 − 3 3 . 9 0 5 ⋅ 1 0 − 4
8 17 2 . 6 3 6 ⋅ 1 0 − 4 1 . 6 7 5 ⋅ 1 0 − 4 3 . 6 0 8 ⋅ 1 0 − 4 3 . 8 1 2 ⋅ 1 0 − 4