Uncertainty quantification for thermo-convective Poiseuille flow using stochastic collocation
by Bettina Schieche; Jens Lang
International Journal of Computational Science and Engineering (IJCSE), Vol. 9, No. 5/6, 2014

Abstract: Simulations become more reliable if they include random effects. One way to express uncertainties in the describing parameters are correlated random fields. Typically, the resulting problem is a partial differential equation (PDE) with random parameters. These additional, stochastic dimensions can be discretised either by spectral methods or stochastic collocation. The aim of this work is to analyse effects of an uncertain heating condition for plane Poiseuille flow by means of an adaptive, anisotropic stochastic collocation method. Additionally, we are interested in how the heat exchange can be improved by small surface variations. We show that the fluctuations of the resulting flow continuously depend on the input fluctuations. Furthermore, we can find specific surface structures that improve the heat exchange.

Online publication date: Mon, 22-Sep-2014

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