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Numerical Simuulation of Geophysical Turbulence
Piotr Smolarkiewicz
NCAR
Abstract
Looking forward towards mesh adaptivity for simulating turbulent
atmospheric/oceanic flows, we are pursuing advanced algorithms for
evaluating vector differential operators cast in time-dependent
curvilinear coordinates. In this lecture, I review our effort to date
with the development of a deformable-coordinates multi-scale
anelastic model designed from the bottom up relying on strengths of
nonoscillatory transport methods. We have shown in earlier works that
effective multi-scale adaptive numerical models for
high-Reynolds-number meteorological flows can be designed that
dispense with rigorous evaluation of the more cumbersome of the
vector differential operators, such as the curl or the strain rate.
These operators are nonetheless important for budget analyses of the
model results, estimating physical uncertainties, driving the mesh
adaptivity itself, and extending the model's applicability beyond
standard meteorological situations. Here, I discuss selected
extensions of the generic explicitly-inviscid approach.
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