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P. E. Merilees

Abstract

An alternative algorithm to sum a series of spherical harmonies is presented and tested. The algorithm is approximately 10–20 times faster than a standard method under the condition that both start with only the knowledge of the coefficients.

The algorithm does suffer from a precision problem and breaks down when the resolution is too high.

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P. E. Merilees

Abstract

It is shown that the dynamical equations governing atmospheric flow can be transformed explicitly into the spectral domain in terms of spherical harmonies. The resulting spectral forms preserve the energy principle of the original equations under any truncation.

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P. E. Merilees

Abstract

The problem of the transition from axisymmetric to nonaxisymmetric flow in a rotating annulus is treated using a simplified version of a two-layer quasi-geostrophic model which is appropriate to an annular region.

The results of the study compare favorably with experimental results of Fowlis and Hide especially with regard to the variation of the transition with viscosity, annular size and depth. They also support an hypothesis made earlier by the author which is that the upper transition is controlled by the boundary layers while the lower transition is controlled by internal dissipation.

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P. E. Merilees

Abstract

No abstract available.

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P. E. Merilees
and
T. Warn

Abstract

No abstract available.

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