Uncertainty Quantification in CFD
Participants: H. Bijl, J.A.S.Witteveen, G.J.A. Loeven
Partners: Free University of Brussels, DLR, Dassault Aviation, EADS, Airbus UK
Description:
As computation of the original, deterministic, solution is already computing time intensive development of efficient uncertainty quantification methods is important. Several uncertainty quantification methods have been developed. On one side of the spectrum there is the Monte Carlo Method amounting to a number (usually a large number) of deterministic solves, which does not require any change to the CFD code, but is inefficient. On the other side there is the Polynomial Chaos Method, where uncertainty is regarded as generating a new dimension and the solution as being dependent on that dimension. Implementation of the polynomial Chaos method in an existing CFD code requires a large programming effort. However, solution of the resulting system of equations is in general quite fast. Currently, we are developing and testing new methods based on these methods, which are especially suited for CFD and aeroelastic simulations. Also the interaction between numerical and stochastic accuracy is investigated.
Gallery of Results:
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Mean (left) and variance (right) of a boundary layer flow with an uncertain viscosity
Distribution function for the displacement of mass-spring system
Related Publications:
Loeven, GJA ,Witteveen, JAS , & Bijl, H (2006). Efficient Uncertainty Quantification in Computational Fluid-Structure Interactions. AIAA-2006-1634. In TS Gates (Ed.), 47th AIAA/ASME/ASCE/AHS/ACS Structures, Structural Dynamics and Materials Conference. 14th AIAA/ASME/AHS/Adaptive Structures Conference. 7th . Newport, Rhode Island: AIAA.- L-LR-02-AE, U-SP-12-I-CSE
Loeven, GJA Witteveen, JAS , & Bijl, H (2006). Efficient uncertainty quantification using a two-step approach with chaos collocation. In P Wesseling, E Onate, & J Periaux (Eds.), European Conference on Computational Fluid Dynamics . Egmond aan Zee: ECCOMAS.- L-LR-02-AE, U-SP-12-I-CSE
Witteveen, JAS , & Bijl, H (2006). A Monomial Chaos Approach for Efficient Uncertainty Quantification in Computational Fluid Dynamics. In P Wesseling, E Onate, & J Periaux (Eds.), European Conference on Computational Fluid Dynamics . Egmond aan Zee: ECCOMAS.- L-LR-02-AE, U-SP-12-I-CSE
Witteveen, JAS , & Bijl, H (2006). An Efficient Monomial Chaos Approach for Uncertainty Quantification in Nonlinear Computational Models, AIAA-2006-2071. In TS Gates (Ed.), 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, 14th AIAA/ASME/AHS Adaptive Structures Conference 7th . Newport, Rhode Island: AIAA.- L-LR-02-AE, U-SP-12-I-CSE
Witteveen, JAS & Bijl, H (2006). Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos. AIAA-2006-896. In NJ Pfeiffer (Ed.), 44th AIAA Aerospace Sciences Meeting and Exhibit . Reno, Nevada: AIAA.- L-LR-02-AE, U-SP-12-I-CSE
Witteveen, JAS ,& Bijl, H (2006). Reliable Computational Predictions by Modeling Uncertainties Using Arbitrary Polynomial Chaos. In P Wesseling, E Onate, & J Periaux (Eds.), European Conference on Computational Fluid Dynamics . Egmond aan Zee: ECCOMAS.- L-LR-02-AE, U-SP-12-I-CSE
Witteveen, JAS & Bijl, H (2006). Using Polynomial Chaos for Uncertainty Quantification in Problems with Nonlinearities. AIAA-2006-2066. In TS Gates (Ed.), 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 14th AIAA/ASME/AHS Adaptive Structures Conference. 7th . Newport, Rhode Island: AIAA.- L-LR-02-AE, U-SP-12-I-CSE
