Article2004

Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods

Lionel Mathelin · M. Yousuff Hussaini · Thomas A. Zang · Françoise Bataille

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

Abstract

A fully spectral, polynomial chaos method for the propagation of uncertainty in numerical simulations of compressible, turbulent flow is described. The method is applied to the flow in a quasi-one-dimensional nozzle. Results demonstrate the ability of the method to propagate accurately the uncertainty throughout the entire numerical field. Comparison and validation were made with the reference Monte Carlo method. An exact method and an approximate method for the computation of inner products are also discussed in terms of efficiency and number of operations required

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References

1991Stochastic Finite Elements: A Spectral Approach 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2003Modeling uncertainty in flow simulations via generalized polynomial chaos 2002A Stochastic Projection Method for Fluid Flow 1999Ingredients for a general purpose stochastic finite elements implementation 2001A Stochastic Projection Method for Fluid Flow 2001Mathematical representation of uncertainty 2001Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos

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