Uncertainty Quantification of Quasi-1D Flow by Polynomial Chaos Expansion Using Wavelet Basis

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  • Inoue Takumi
    連絡先著者（Corresponding author）：inoue-takumi-tj@ynu.jp 横浜国立大学大学院理工学府
  • Miyaji Koji
    横浜国立大学大学院工学研究院
  • Kawamura Yasumi
    横浜国立大学大学院工学研究院

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  • ウェーブレット基底を用いた多項式カオス展開による準一次元流れの不確定性解析
  • ウェーブレット キテイ オ モチイタ タコウシキ カオス テンカイ ニ ヨル ジュンイチジゲン ナガレ ノ フカクテイセイ カイセキ

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<p>A new scheme for the polynomial chaos expansion (PCE) is developed and tested to quantify the propagation of the input uncertainty in CFD. The Haar wavelet is used as basis for the PCE instead of globally continuous, orthogonal polynomials to properly represent the strong discontinuity such as a shock wave. We further extended the method to inputs with arbitrary probability distribution functions (PDF), although the natural application of the Haar wavelet is the uniform PDF. A transonic nozzle flow with an uncertainty in the nozzle-exit pressure is simulated. The wavelet basis well reproduces the Monte Carlo simulations at a single execution of the program, unlike the multi-element (ME) PCE developed in the previous report. But the quantitative agreements of the statistics are better obtained by the result using ME-PCE. </p>

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