TY - JOUR
T1 - Numerical Solution of Partial Differential Equations in Random Domains: An Application to Wind Engineering
AU - Claudio Canuto & Davide Fransos
JO - Communications in Computational Physics
VL - 2-4
SP - 515
EP - 531
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7747.html
KW - 
AB - <p style="text-align: justify;">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.</p>