26
STEPHEN GRIFFIES
Beckmann, 1999 provide some discussion of these grids and their
uses.
What about nested regions of refined resolution where it is critical
to explicitly resolve certain flow and/or boundary features? Blayo
at this school (see also Blayo and Debreu, 1999) illustrates the
potentials for this approach. Can it be successfully employed for
long term global climate simulations? What about coastal impacts
of climate change? These are important questions at the forefront
of ocean climate and regional modelling.
Can a non-rectangular mesh, such as a cubed sphere, be successfully used to replace all coordinate singularities with milder singularities that allow for both atmosphere and ocean models to
jettison polar filtering?' The work of Marshall et al., 2003 provide
a compelling case for this approach, whereby both the ocean and
atmosphere use the same grid and same dynamical core. Figure 2
provides a schematic of a cubed-sphere tiling of the sphere.
What about icosahedrons, or spherical geodesics as invented by
Buckminster filler? These grids tile the sphere in a nearly isotropic
manner. Work at Colorado State University by David Randall and
collaborators has shown some promise for this approach in the atmosphere and ocean.
What about finite element or triangular meshes popular in engineering, tidal, and coastal applications? These meshes more accurately represent the solid earth boundary. Or what about time
dependent adaptive approaches, whereby the grid is refined according to the time dependent flow regimes? Both methods have
traditionally failed to perform well for realistic ocean climate simulations due to problems representing stratified and rotating fluids.
However, as reported in this volume by Jens Schroter, some important and promising advances have been made by researchers
at the University of Reading and Imperial College, both in England, as well as the Alfred-Wegener Institute in Germany. Their
efforts have taken strides in overcoming some of the fundamental
problems. If this area of research and development is given time
to come to fruition, then perhaps in 10 years we will see finite elelPolar filtering is a method to reduce the spatial scales of the simulation as one approaches
the coordinate singularity at the North Pole. Many computational and numerical problems
have been encountered with this approach.
STEPHEN GRIFFIES
Beckmann, 1999 provide some discussion of these grids and their
uses.
What about nested regions of refined resolution where it is critical
to explicitly resolve certain flow and/or boundary features? Blayo
at this school (see also Blayo and Debreu, 1999) illustrates the
potentials for this approach. Can it be successfully employed for
long term global climate simulations? What about coastal impacts
of climate change? These are important questions at the forefront
of ocean climate and regional modelling.
Can a non-rectangular mesh, such as a cubed sphere, be successfully used to replace all coordinate singularities with milder singularities that allow for both atmosphere and ocean models to
jettison polar filtering?' The work of Marshall et al., 2003 provide
a compelling case for this approach, whereby both the ocean and
atmosphere use the same grid and same dynamical core. Figure 2
provides a schematic of a cubed-sphere tiling of the sphere.
What about icosahedrons, or spherical geodesics as invented by
Buckminster filler? These grids tile the sphere in a nearly isotropic
manner. Work at Colorado State University by David Randall and
collaborators has shown some promise for this approach in the atmosphere and ocean.
What about finite element or triangular meshes popular in engineering, tidal, and coastal applications? These meshes more accurately represent the solid earth boundary. Or what about time
dependent adaptive approaches, whereby the grid is refined according to the time dependent flow regimes? Both methods have
traditionally failed to perform well for realistic ocean climate simulations due to problems representing stratified and rotating fluids.
However, as reported in this volume by Jens Schroter, some important and promising advances have been made by researchers
at the University of Reading and Imperial College, both in England, as well as the Alfred-Wegener Institute in Germany. Their
efforts have taken strides in overcoming some of the fundamental
problems. If this area of research and development is given time
to come to fruition, then perhaps in 10 years we will see finite elelPolar filtering is a method to reduce the spatial scales of the simulation as one approaches
the coordinate singularity at the North Pole. Many computational and numerical problems
have been encountered with this approach.