Applied Mathematics: Recent submissions
Now showing items 51-55 of 95
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Resistive magnetohydrodynamic reconnection : resolving long-term, chaotic dynamics
(2013-09-13) - Journal articleIn this paper, we address the long-term evolution of an idealised double current system entering reconnection regimes where chaotic behavior plays a prominent role. Our aim is to quantify the energetics in high magnetic ... -
The effect of slip length on vortex rebound from a rigid boundary
(2013-09-23) - Journal articleThe problem of a dipole incident normally on a rigid boundary, for moderate to large Reynolds numbers, has recently been treated numerically using a volume penalisation method by Nguyen van yen, Farge, and Schneider [Phys. ... -
Shallow-water vortex equilibria and their stability
(2011-01-01) - Journal articleWe first describe the equilibrium form and stability of steadily-rotating simply-connected vortex patches in the single-layer quasi-geostrophic model of geophysical fluid dynamics. This model, valid for rotating shallow-water ... -
Boundary layer flow beneath an internal solitary wave of elevation
(2010-02) - Journal articleThe wave-induced flow over a fixed bottom boundary beneath an internal solitary wave of elevation propagating in an unsheared, two-layer, stably stratified fluid is investigated experimentally. Measurements of the velocity ... -
An analytical, phenomenological and numerical study of geophysical and magnetohydrodynamic turbulence in two dimensions
(University of St Andrews, 2013-11-29) - ThesisIn this thesis I study a variety of two-dimensional turbulent systems using a mixed analytical, phenomenological and numerical approach. The systems under consideration are governed by the two-dimensional Navier-Stokes ...