A numerical study of low reynolds number 2-dimensional convective adjustment
作者:
CharlesA. Lin,
David Dietrich,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1994)
卷期:
Volume 74,
issue 1-4
页码: 123-134
ISSN:0309-1929
年代: 1994
DOI:10.1080/03091929408203635
出版商: Taylor & Francis Group
关键词: Unstable stratification;convective mixing;oceanic circulation
数据来源: Taylor
摘要:
We use a 2-dimensional non-hydrostatic model on the vertical plane to examine the nature of convective adjustment. In the first part of the study, we investigate the mixing of an initial unstably stratified 2-layer fluid with molecular viscosities. The linear growth rates compare well to those obtained using an analytic model. The stratification of the convectively adjusted state is sensitive to the Prandtl number (Pr, the ratio of the eddy viscosity to thermal diffusivity). This is important as the instantaneous convective adjustment used in coarse resolution ocean circulation models corresponds toPr→0, while the case of immiscible fluids corresponds to the limit of largePr.Mixing in the ocean as well as in our numerical model are both characterized by a finite value ofPr.In the second part of the study, we scale up to ocean scales with a more realistic surface forcing and turbulent viscosities. The implications of our results for instantaneous convective adjustment are discussed.
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