An Effective Approach for Uncertain Aerodynamic Analysis of Airfoils via the Polynomial Chaos Expansion

Table 1

Distribution of random variables and orthogonal polynomials [26].

Polynomial	Weight function	Domain	Orthogonality	Distribution
Hermit				Normal
Legendre	1			Uniform
Jacobi				Beta
Laguerre				Exponential
General Laguerre				Gamma