Print Email Facebook Twitter A TVD uncertainty quantification method with bounded error applied to transonic airfoil flutter Title A TVD uncertainty quantification method with bounded error applied to transonic airfoil flutter Author Witteveen, J.A.S. Bijl, H. Faculty Aerospace Engineering Date 2009-12-31 Abstract The Unsteady Adaptive Stochastic Finite Elements (UASFE) approach is a robust and efficient uncertainty quantification method for resolving the effect of random parameters in unsteady simulations. In this paper, it is shown that the underlying Adaptive Stochastic Finite Elements (ASFE) method for steady problems based on Newton-Cotes quadrature in simplex elements is extrema diminishing (ED). It is also shown that themethod is total variation diminishing (TVD) for one randomparameter and for multiple random parameters for first degree Newton-Cotes quadrature. It is proven that the interpolation of oscillatory samples at constant phase in the UASFE method for unsteady problems results in a bounded error as function of the phase for periodic responses and under certain conditions also in a bounded error in time. The twomethods are applied to a steady transonic airfoil flow and a transonic airfoil flutter problem. Subject total variation diminishingextrema diminishingerror boundsstochastic finite elementsuncertainty quantificationtransonic flowtransonic flutter To reference this document use: http://resolver.tudelft.nl/uuid:a2bd15ed-3a3e-4aa5-98a7-cdc4951d900f Publisher Global-Science Press ISSN 1815-2406 Source Communications in computational physics, 6 (2), 2009 Part of collection Institutional Repository Document type journal article Rights (c) 2009 Witteveen, J.A.S.; Bijl, H. Files PDF 231061.pdf 1.69 MB Close viewer /islandora/object/uuid:a2bd15ed-3a3e-4aa5-98a7-cdc4951d900f/datastream/OBJ/view