Intricate patterns of three-dimensional inertial wavebeams in a tilted librating cube
ORAL
Abstract
A fluid-filled cube rotating about an axis passing through the midpoints
of opposite edges is subjected to small librations (i.e. modulation of the
mean rotation). Low viscosity regimes, with Ekman number as small as
10-8 are explored numerically. The full inertial range of forcing frequencies,
from 0 to twice the mean rotation rate are considered. The responses
are dominated by inertial wavebeams emitted from edges and/or vertices,
depending on the forcing frequency. How these reflect on the cube's walls
and focus onto edges and vertices lead to intricate patterns which can be
reconciled using inviscid theory.
of opposite edges is subjected to small librations (i.e. modulation of the
mean rotation). Low viscosity regimes, with Ekman number as small as
10-8 are explored numerically. The full inertial range of forcing frequencies,
from 0 to twice the mean rotation rate are considered. The responses
are dominated by inertial wavebeams emitted from edges and/or vertices,
depending on the forcing frequency. How these reflect on the cube's walls
and focus onto edges and vertices lead to intricate patterns which can be
reconciled using inviscid theory.
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Presenters
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Ke Wu
Purdue University
Authors
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Ke Wu
Purdue University
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Juan M Lopez
Arizona State University
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Bruno D Welfert
Arizona State University