A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions

We present a numerical method to study convective heat transfer in a high Reynolds number incompressible flow around a cylinder subject to uncertain boundary conditions. We exploit the one-way coupling of the energy and momentum transport to derive a semi-intrusive uncertainty propagation scheme, which combines Galerkin and collocation approaches for computing approximate statistics of the stochastic temperature field. The hybrid scheme converges rapidly and dramatically reduces the overall computational cost compared with the conventional uncertainty propagation schemes. Copyright q 2009 John Wiley & Sons, Ltd.