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Non-Intrusive Polynomial Chaos for the Stochastic CFD Study of a Supersonic Pressure Probe

16 citations0/0 files storedAIAA Aerospace Sciences Meeting

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Probabilistic and Robust Engineering Design Computational Fluid Dynamics and Aerodynamics Model Reduction and Neural Networks

Abstract

The Point-Collocation Non-Intrusive Polynomial Chaos (NIPC) method utilizing Euler CFD simulations has been applied to the stochastic analysis of a pressure probe designed for Mach number measurements in three-dimensional supersonic flows with moderate swirl. The supersonic pressure probe is in the shape of a truncated cone with a flat nose opening for total pressure measurement and includes four holes on the cone surface for static pressure measurements. The objective of the present stochastic CFD study is to quantify the uncertainty in the pressure measurements and the Mach number due to the uncertainty in the cone angle, the nose diameter, and the location of the static pressure port on the cone surface. Each uncertain parameter was modeled as a uniform random variable with a specified range and mean value based on the tolerances supplied by the manufacturer. The uncertainty information for various output variables obtained with a second order polynomial chaos expansion fell within the confidence interval of the Latin Hypercube Monte Carlo statistics. The second order NIPC required only 20 CFD solutions to obtain the uncertainty inforu1ation, whereas the Monte Carlo simulations were performed with 1000 samples (CFD solutions), indicating the computational efficiency of the polynomial chaos approach. The relative variation in the Mach number due to the specified geometric uncertainty was found to be less than 1%. The sensitivity analysis obtained from the polynomial chaos expansions revealed that the Mach number is an order of magnitude more sensitive to the variation in the cone angle than the uncertainty in the other geometric variables.

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References

2003Modeling uncertainty in flow simulations via generalized polynomial chaos 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics 2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes 1990Polynomial Chaos in Stochastic Finite Elements 1999Ingredients for a general purpose stochastic finite elements implementation 2006A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection 1999Uncertainty Analysis of Transport-Transformation Models

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