The primitive equations formulated in mean vorticity

Cheng Wang

doi:10.3934/proc.2003.2003.880

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2003, Volume 2003: 880-887. Doi: 10.3934/proc.2003.2003.880 open access

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The primitive equations formulated in mean vorticity

Cheng Wang^1,

1.
Department of Mathematics, Indiana University, Bloomington, IN 47405-5701

Received: August 31, 2002

Published: March 2003

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Abstract

The primitive equations (PEs) of large-scale oceanic flow formulated in mean vorticity is proposed. In the reformulation of the PEs, the prognostic equation for the horizontal velocity is replaced by evolutionary equations for the mean vorticity field and the vertical derivative of the horizontal velocity. The total velocity field (both horizontal and vertical) is statically determined by differential equations at each fixed horizontal point. Its equivalence to the original formulation is also presented.

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Mathematics Subject Classification: Primary: 35Q35; Secondary: 86A10.

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