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Articles written by Witteveen, J.A.S.

  1. Witteveen, J.A.S., Sarkar, S., and Bijl, H.. "Modeling physical uncertainties in dynamic stall induced fluid-structure interaction of turbine blades using arbitrary polynomial chaos" Computers and Structures. 85 (11-14). 2007. pp. 866--878.

    A nonlinear dynamic problem of stall induced flutter oscillation subject to physical uncertainties is analyzed using arbitrary polynomial chaos. A single-degree-of-freedom stall flutter model with torsional oscillation is considered subject to nonlinear aerodynamic loads in the dynamic stall regime and nonlinear structural stiffness. The analysis of the deterministic aeroelastic response demonstrated that the problem is sensitive to variations in structural natural frequency and structural nonlinearity. The effect of uncertainties in these parameters is studied. Arbitrary polynomial chaos is employed in which appropriate expansion polynomials are constructed based on the statistical moments of the uncertain input. The arbitrary polynomial chaos results are compared with Monte Carlo simulations.


  2. Witteveen, J.A.S., Loeven, A., Sarkar, S., and Bijl, H.. "Probabilistic collocation for period-1 limit cycle oscillations" Journal of Sound and Vibration. 311 (1-2). MAR 18 2008. pp. 421--439.

    In this paper probabilistic collocation for limit cycle oscillations (PCLCO) is proposed. Probabilistic collocation (PC) is a non-intrusive approach to compute the polynomial chaos description of uncertainty numerically. Polynomial chaos can require impractical high orders to approximate long-term time integration problems, due to the fast increase of required polynomial chaos order with time. PCLCO is a PC formulation for modeling the long-term stochastic behavior of dynamical systems exhibiting a periodic response, i.e. a limit cycle oscillation (LCO). In the PC method deterministic time series are computed at collocation points in probability space. In PCLCO, PC is applied to a time-independent parametrization of the periodic response of the deterministic solves instead of to the time-dependent functions themselves. Due to the time-independent parametrization the accuracy of PCLCO is independent of time. The approach is applied to period-1 oscillations with one main frequency subject to a random parameter. Numerical results are presented for the harmonic oscillator, a two-dof airfoil flutter model and the fluid-structure interaction of an elastically mounted cylinder. (C) 2007 Elsevier Ltd. All rights reserved.


  3. Witteveen, J.A.S. and Bijl, H.. "Efficient quantification of the effect of uncertainties in advection-diffusion problems using polynomial chaos" Numerical Heat Transfer Part B-Fundamentals. 53 (5). 2008. pp. 437--465.

    Uncertainties in advection-diffusion heat transfer problems are modeled using polynomial chaos to increase the basic understanding of the effect of physical variability. The polynomial chaos method approximates the effect of uncertain parameters using a polynomial expansion in probability space. Since the computational work of an uncertainty analysis increases rapidly with the number of uncertain parameters to the equivalence of many deterministic simulations, strategies for efficient quantification of the effect of multiple uncertain parameters are needed. Three strategies are studied in this article. Results are presented for advection-diffusion problems of heat transfer in one-dimensional and two-dimensional pipe flows.