Reduced-order modelling of thick inertial flows around rotating cylinders

Parallel 3D Computation of Unsteady Flows Around Circular Cylinders

Saturation of inertial instability in rotating planar shear flows

Inertial instability in a rotating shear flow redistributes absolute linear momentum in such a way as to neutralize the instability. In the absence of other instabilities, the final equilibrium can be predicted by a simple construction based on conservation of total momentum. Numerical simulations, invariant in the along-stream direction, suppress barotropic instability and allow only inertial ...

Chaotic dynamics of inertial particles in three-dimensional rotating flows

Transport and mixing problems in non-turbulent flows have been studied with chaotic advection theory to understand and quantify the characteristics of the fluid particle dynamics in simple analytical flows, and new analyses have been recently extended to realistic and more complex, experimentally realizable flows. Many environmental and engineering flows have also two or more phases, but little...

Inertial waves in rapidly rotating flows: a dynamical systems perspective

An overview of recent developments in a wide variety of enclosed rapidly rotating flows is presented. Highlighted is the interplay between inertial waves, which have been predicted from linear inviscid considerations, and the viscous boundary layer dynamics which result from instabilities as the nonlinearities in the systems are increased. Further, even in the absence of boundary layer instabil...

Numerical models of rotating accretion flows around black holes

Numerical, two-dimensional, time-dependent hydrodynamical models of geometrically thick accretion discs around black holes are presented. Accretion flows with non-effective radiation cooling (ADAFs) can be both convectively stable or unstable depending on the value of the viscosity parameter α. The high viscosity flows (α ≃ 1) are stable and have a strong equatorial inflow and bipolar outflows....