A TVD Uncertainty Quantification Method with Bounded Error Applied to Transonic Airfoil Flutter

作     者：Jeroen A.S.Witteveen Hester Bijl 

作者机构：Faculty of Aerospace EngineeringDelft University of TechnologyKluyverweg 12629HS DelftThe Netherlands 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2009年第6卷第7期

页      面：406-432页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：This research was supported by the Technology Foundation STW applied science division of NWO and the technology programme of the Ministry of Economic Affairs 

主　　题：Total variation diminishing extrema diminishing error bounds stochastic finite elements uncertainty quantification transonic flow transonic flutter 

摘      要：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 *** 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 the method is total variation diminishing(TVD)for one random parameter and for multiple random parameters for first degree Newton-Cotes *** 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 *** two methods are applied to a steady transonic airfoil flow and a transonic airfoil flutter problem.