JOHNSON1 |
Project
Title "Accurate methods for computing
rotation-dominated flows" |
Type |
Theoretical |
#students |
1 |
Orientation |
Planetary scale motions are dominated
by rotation. Computations of these flows are not straightforward. The
numerical difficulties arise from real physical effects - in rapidly rotating
flows the pressure gradient is very large and almost exactly balances the
very large Coriolis acceleration. Naive application of standard methods leads
to computing these terms separately and subtracting them to obtain
(inaccurately) the small residual that gives the small fluid acceleration. |
How |
The aim is to build the underlying
physics of geostrophic balance into the computations and so to compute the
small accelerations directly. |
What |
The
student will implement a modern method for near-balanced motions. If the
student is successful in implementing one of the modern methods then there
are at least two geometries that could yield interesting new results. |
Special Knowledge |
The
student must have a strong fluids background and an even stronger computer
software background. |
Supervisor |
Ted Johnson, Mathematics,UCL e.johnson@ucl.ac.uk |