Numerical Solution of Partial Differential Equations in Random Domains:An Application to Wind Engineering

查看全文 作　　者：Claudio [1]Canuto;Davide [1]Fransos 机构地区：[1]Dipartimento di Matematica,Politecnico di Torino,C.so Duca degli Abruzzi 24,10129 Torino,Italy 出　　处：《Communications in Computational Physics》索引2009年第5卷第2期,共17页 基　　金：The authors would like to thank Prof.L.Bruno(Politecnico di Torino)for his continuos support in understanding and simulating the physics of the aerodynamic phenomena discussed in the paper;The authors wish also to thank Prof.F.Ricciardelli(University of Reggio Calabria)and Dr.C.Mannini(University of Florence)for kindly providing the geometrical properties of the Sunshine Skyway Bridge and the wind-tunnel set-up data;Further thanks go to Dr.S.Khris(Optiflow Company)and Prof.G.Monegato(Politecnico di Torino)for helpful discussions about the topics of the paper. 摘　　要：An application of recent uncertainty quantification techniques to Wind Engineering is presented.In particular,the study of the effects of small geometric changes in the Sunshine Skyway Bridge deck on its aerodynamic behavior is addressed.This results in the numerical solution of a proper PDE posed in a domain affected by randomness,which is handled through a mapping approach.A non-intrusive Polynomial Chaos expansion allows to transform the stochastic problem into a deterministic one,in which a commercial code is used as a black-box for the solution of a number of Reynolds-Averaged Navier-Stokes simulations.The use of proper Gauss-Patterson nested quadrature formulas with respect to a Truncated Weibull probability density function permits to limit the number of these computationally expensive simulations,though maintaining a sufficient accuracy.Polynomial Chaos approximations,statistical moments and probability density functions of time-independent quantities of interest for the engineering applications are obtained. 关 键 词：Uncertainty quantification stochastic partial differential equations random domains mapping approach polynomial chaos wind engineering