Ultra-High Resolution Atmospheric Modeling Using Cut Cells
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Synchronizing with the rapid development of computer technology, resolutions of atmospheric numerical
models have increased significantly. One of the most pressing concerns of high-resolution
atmospheric modeling is handling of steep slopes in mountainous areas. In this study, a cut cell
method for representing topography on a Cartesian grid is applied to a two-dimensional nonhydrostatic
atmospheric model to achieve highly-precise simulations over steep terrain. Small cells cut
by topography are combined with neighboring cells either vertically or horizontally to avoid severe
restrictions on time steps by the CFL condition. A unique staggered arrangement of variables
used along with the cell-combining approach enables quite simple computations of momentum
equations without the evaluation of surface pressure and reduces the computational cost of combining
cells for the velocity variables (Yamazaki and Satomura 2010).
The results of two-dimensional numerical simulations of mountain waves using the developed
model will be presented. The model successfully reproduces flows over a wide range of slopes
from a gently sloping bell-shaped mountain to an extremely steep cliff with slopes over 80 degrees.
A brief introduction of some recent developments will conclude the presentation.
References:
Yamazaki, H. and T. Satomura, 2010: Nonhydrostatic atmospheric modeling using a combined
Cartesian grid, Monthly Weather Review, 138, pp. 3932-3945, doi:10.1175/2010MWR3252.1
This talk is part of the Laboratory for Scientific Computing series.
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