Print Email Facebook Twitter A Monomial Chaos Approach for Efficient Uncertainty Quantification in Computational Fluid Dynamics Part of: ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics· list the conference papers Title A Monomial Chaos Approach for Efficient Uncertainty Quantification in Computational Fluid Dynamics Author Witteveen, J.A.S. Bijl, H. Date 2006-09-06 Abstract A monomial chaos approach is proposed for efficient uncertainty quantification in nonlinear computational problems. Propagating uncertainty through nonlinear equations can still be computationally intensive for existing uncertainty quantification methods. It usually results in a set of nonlinear equations which can be coupled. The proposed monomial chaos approach employs a polynomial chaos expansion with monomials as basis functions. The expansion coefficients are solved for using implicit differentiation of the governing equations. This results in a decoupled set of linear equations even for nonlinear problems, which reduces the computational work per additional polynomial chaos order to the equivalence of one Newton iteration. The results of the monomial chaos applied to nonlinear advection-diffusion are compared with results of the perturbation method, the Galerkin polynomial chaos method and a non-intrusive polynomial chaos method with respect to a Monte Carlo reference solution. The accuracy of the monomial chaos can be further improved by estimating additional coefficients using extrapolation. Subject uncertainty quantificationcomputational fluid dynamicspolynomial chaos To reference this document use: http://resolver.tudelft.nl/uuid:0900707c-6859-473b-9999-cc666c57f741 Part of collection Conference proceedings Document type conference paper Rights (c) 2006 Witteveen, J.A.S.; Bijl, H. Files PDF Witteveen.pdf 542.13 KB Close viewer /islandora/object/uuid:0900707c-6859-473b-9999-cc666c57f741/datastream/OBJ/view