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Article overview
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Higher-order approximations of the residual-mean eddy streamfunction and the quasi-Stokes streamfunction | Jan Viebahn
; Carsten Eden
; | Date: |
2 May 2016 | Abstract: | The series expansion of the residual-mean eddy streamfunction and the
quasi-Stokes streamfunction are compared up to third order in buoyancy
perturbation, both formally and by using several idealised eddy-permitting
zonal channel model experiments. In model configurations with flat bottom, both
streamfunctions may be well approximated by the first one or two leading order
terms in the ocean interior, although terms up to third order still
significantly impact the implied interior circulations. Further, differences in
both series expansions up to third order remain small here. Near surface and
bottom boundaries, on the other hand, the leading order terms differ and are
initially of alternating sign and of increasing magnitude such that the low
order approximate expressions break down there. In more realistic model
configurations with significant topographic features, physically inconsistent
recirculation cells also appear in the ocean interior and are not effectively
reduced by the next higher order terms. A measure indicating an initially
increasing or decreasing series expansion is proposed. | Source: | arXiv, 1605.0541 | Services: | Forum | Review | PDF | Favorites |
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