SMS scnews item created by Pamela Guzman at Mon 22 Mar 2010 1238
Type: Seminar
Distribution: World
Expiry: 23 Mar 2010
Calendar1: 23 Mar 2010 1400-1500
CalLoc1: Carslaw 175
Auth: pamelag(.ampgrad;1539.16000)

Postgraduate Seminar: Duncan Sutherland -- Chebyshev spectral methods for quasigeostrophic shallow-water flow

Quasigeostrophic shallow-water flow on the beta plane typically involves turbulent
motion and the formation of jets, which can be modelled by considering inviscid flow in
a channel.  I will present a review of the use of Chebyshev spectral methods for the
solution of the stream-function vorticity formulation of flow in a channel, periodic in
the streamwise direction and with Dirichlet boundary conditions on the channel wall.
The vorticity equation is handled with standard pseudo-spectral techniques, while
Poisson’s equation for the streamfunction is solved by transforming in both x and y and
deriving a recursion relation for the Chebyshev coefficients in y.  The recursion
relation can be expressed as a quasipentadiagonal matrix equation, which may be solved
in O(N) operations.  Example flows used to test convergence and accuracy of the scheme
will be discussed.

ball Calendar (ICS file) download, for import into your favourite calendar application
ball UNCLUTTER for printing
ball AUTHENTICATE to mark the scnews item as read
School members may try to .