Fig.1

Influence of orders on condition number of μ

Fig.2

Comparisons of convergence behavior

Fig.3

Construction process of base functions

Fig.4

Reconstruction of Gauss-Hermite polynomialsand quadrature nodes

Fig.5

Reconstruction of Gauss-Jacobi polynomials and quadrature nodes

Fig.6

“Bimodal” distribution

Fig.7

Discrete samples from “bimodal” distribution

Table 1

Nonlinear test functions

Table 2

Results of Test function 1

Table 3

Results of Test function 2

Table 4

Results of Test function 3

Fig.8

Histogram of leading edge radius error

Fig.9

Measurement data of incidence

Fig.10

Histogram of incidence measured data

Fig.11

NPU-A1 geometry

Fig.12

Computational grid

Fig.13

Integral collocation points of PDDPC method

Fig.14

Flowchart of PDDPC method for evaluating aerodynamic performance of compressor cascade

Fig.15

Distribution of total pressure loss coefficient at i=2.5°

Fig.16

Distribution of total pressure loss coefficient at i=7.0°

Fig.17

Isentropic Mach number at i=2.5°

Fig.18

Isentropic Mach number at i=7.0°

Fig.19

Uncertainty quantification results of Mach number at i=2.5°

Fig.20

Uncertainty quantification results of Mach number at i=7.0°