An efficient multi-resolution grid for global models and coupled systems
<p>The latitude-longitude (lat-lon) grid is the most widely used global coordinate system for various purposes but its singularity at the Pole and the vector polar problems associated with its converging meridians hinder its applications. Well from the very start of numerical modelling history...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2019-07-01
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| Series: | Advances in Science and Research |
| Online Access: | https://www.adv-sci-res.net/16/137/2019/asr-16-137-2019.pdf |
| Summary: | <p>The latitude-longitude (lat-lon) grid is the most widely
used global coordinate system for various purposes but its singularity at
the Pole and the vector polar problems associated with its converging
meridians hinder its applications. Well from the very start of numerical
modelling history, quite a few grids have been attempted to tackle these
problems and reduced grid is the simplest one among other grids. However,
the reduced grid is almost abandoned by modern numerical modellers due to
its unsatisfactory results for dynamical models in the polar region.
Spherical multiple-cell (SMC) grid is similar to the reduced grid apparently
but uses the unstructured technique for efficiency. It merges longitudinal
cells at high latitudes like the reduced grid to overcome the CFL
restriction and introduces a polar cell to remove the polar singularity. It
also supports quad-tree-like mesh refinement to form a multi-resolution
grid. To tackle the vector polar problem associated with the increased
curvature at high latitudes, the SMC grid uses a new fixed reference
direction to define vector components near the poles for improved polar
performance. Global transportation is quite efficient on the SMC grid with
optional second or third order transportation scheme. Present applications
of the SMC grid, particularly in ocean surface wave models, are presented
and possible future usage in global models and coupled systems are proposed.</p> |
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| ISSN: | 1992-0628 1992-0636 |