A stochastic pulsation total pressure model and reconstruction of actual distortion patterns

This paper proposes a reconstructed method to simulate the total pressure distortion pattern produced by a baffle plate, utilizing a random sampling technique based on Pearson spatial correlation. The method employs the ratio of the pulsating pressure ΔP to the time-averaged value of the pulsating pressure Pav as a statistic (ΔP/Pav) that follows a normal distribution N(0,ε), thereby correlating the steady total pressure distortion pattern with the turbulence intensity pattern. We analyze the Pearson correlation coefficient of the temporal total pressure at various measurement locations and suggest a covariance matrix derived from the experimental data for random sampling. The samples of the total pressure recovery coefficient pattern acquired through this method generally align with the actual total pressure recovery coefficient patterns. The reconstructed steady total pressure distortion pattern and turbulence intensity pattern from 1000 samples closely resemble the measured patterns, with relative errors for the steady distortion descriptor and turbulence intensity remaining below 1%.