Abstract：The uncertainty quantification of flows around a cylinder is studied by the non-intrusive polynomial chaos method. Based on the validation with benchmark results, discussions are mainly focused on the statistic properties of the peak lift and drag coefficients and base pressure drop over the cylinder with the uncertainties of viscosity coefficient and inflow boundary velocity. As for the numerical results of flows around a cylinder, influence of the inflow boundary velocity uncertainty is larger than that of viscosity. The results indeed demonstrate that a five-order degree of polynomial chaos expansion is enough to represent the solution of flow in this study.
Hesthaven J S and Warburton T 2008 Nodal Discontinuous Galerkin Methods: Algorithms, Analysis and Application (New York: Springer-Verlag)
[24]
Sch?fer M and Turek S 1996 Flow Simulation with High-Peformance Computers II} (Braunschweig: Vieweg & Sohn) p 547
[25]
Xiu D 2010 Numerical Methods for Stochastic Computations: A Spectral Method Approach (Princeton: Princeton University Press)
[26]
Le Ma?tre O P and Knio O M 2010 Spectral Methods for Uncertainty Quantification with Applications to Computational Fluid Dynamics (New York: Springer-Verlag)
2016, Vol. 33 
