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    Preface

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    Preface

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    Preface

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    DNS of convective heat transfer in a rotating cylinder

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    The effects of rotation on the convective heat transfer and flow structuring in a cylindrical volume of fluid is investigated with direct numerical simulation (DNS). A formulation of the discrete equations of motion in cylindrical coordinates is solved with finite-difference approximations. At constant Rayleigh (Ra; dimensionless temperature gradient) and Prandtl (s; characterises diffusive properties of the fluid) numbers, the Rossby number Ro, the ratio of buoyancy and Coriolis forces, is varied between runs with 0. 045 = Ro = 8. For Ro ¿ 1. 2 we find the so-called large-scale circulation. At Ro ¿ 1. 2 slender columnar vortical plumes are found. In a range of Ro heat transfer is increased by Ekman pumping in the vortical plumes

    Spatial Filtering for Reduced Order Modeling

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    Spatial filtering has been central in the development of large eddy simulation reduced order models (LES-ROMs) and regularized reduced order models (Reg-ROMs), In this paper, we perform a numerical investigation of spatial filtering. To this end, we consider one of the simplest Reg-ROMs, the Leray ROM (L-ROM), which uses ROM spatial filtering to smooth the flow variables and decreases the amount of energy aliased to the lower index ROM basis functions. We also propose a new form of ROM differential filter and use it as a spatial filter for the L-ROM. We investigate the performance of this new form of ROM differential filter in the numerical simulation of a flow past a circular cylinder at a Reynolds number Re=760
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