[DissKoll] DissKoll: 20 May 2010, Energy, potential enstrophy and phase space volume conservation properties of the shallow-water equations on a staggered geodesic grid., Matthias Sommer

[Klemens Katterbauer]

Dear visitors of the DissKoll (Dissertantenkolloquium),

On May 20, 2010, the DissKoll will have its second talk in spring 2010.
Matthias Sommer (University of Vienna) will talk about "Energy,
potential enstrophy and phase space volume conservation properties of
the shallow-water equations on a staggered geodesic grid".


Matthias Sommer
Energy, potential enstrophy and phase space volume conservation
properties of the shallow-water equations on a staggered geodesic
grid.

Abstract:
A spatial semi-discretization scheme for the shallow-water equations
on a geodesic grid with C-type staggering obeying conservation laws
for total energy, potential enstrophy and mass is presented. The
method of construction of this scheme relies on Nambu representation,
a generalization of Hamiltonian representation for dynamical systems.
The main idea of this method, which can be applied to a wide range of
atmospheric dynamical equations, is to discretize the phase space
structure of a given partial differential equation rather than the
occurring operators. Results of numerical experiments with this scheme
are compared to those of a standard implementation emphasizing the
role of classical and phase space volume conservation laws.


Thursday, May 20, 2010, 17:15, Room C 2.09
Coffee and cakes served from 17:00 in the Common Room C 2.06

Program and further information you can find at
http://www.mat.univie.ac.at/~disskoll/

If you are interested in giving a talk, then please contact Klemens
Katterbauer via the below given E-mail address or cell phone number.

To join the mailing list, visit
http://www.mat.univie.ac.at/mailman/listinfo/disskoll

Comments and feedback are welcomed.

We are looking forward to your attendance,

Matthias Sommer
Clemens Hanel
Klemens Katterbauer