Transparent lateral boundary conditions for systems of equations
which support barotropic, baroclinic, and potential vorticity waves.
A McDonald
Corresponding author address:
Aidan McDonald, Met Éireann,
Glasnevin Hill, Dublin 9, Ireland.
E-mail: aidan.mcdonald@met.ie
(Manuscript received 12 May 2005, in final form 25 October 2005.)
ABSTRACT
Transparent boundary conditions are derived for three systems of linear
equations which support potential vorticity waves as well as barotropic
and baroclinic waves. The first system, the
one-dimensional shallow water equations, supports potential vorticity
and barotropic waves only and it is used to lay the foundations for the
second, two-layer system, which supports baroclinic waves also, and for
the third system, the two dimensional linearized hydrostatic primitive equations,
which supports multiple baroclinic and potential vorticity waves. For
each system of equations the derived boundary conditions are shown to be
stable and accurate for practical integrations despite the presence of
dispersive waves.
version 3.59. On 8 Nov 2005, 18:52.