Article2002

Uncertainty analysis for fluid mechanics with applications

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Probabilistic and Robust Engineering Design Computational Fluid Dynamics and Aerodynamics Fluid dynamics and aerodynamics studies

Abstract

This paper reviews uncertainty analysis methods and their application to fundamental problems in fluid dynamics. Probabilistic (Monte-Carlo, Moment methods, Polynomial Chaos) and non-probabilistic methods (Interval Analysis Propagation of error using sensitivity derivatives) are described and implemented. Results are presented for a model convection equation with a source term, a model non-linear convection-diffusion equation; supersonic flow over wedges, expansion corners, and an airfoil; and two-dimensional laminar boundary layer flow.

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References

1991Stochastic Finite Elements: A Spectral Approach 1990Polynomial Chaos in Stochastic Finite Elements 1999Stochastic Finite Elements with Multiple Random Non-Gaussian Properties

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