The primitive equations formulated in mean vorticity

Pages: 880 - 887, Issue Special, July 2003

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Cheng Wang - Department of Mathematics, Indiana University, Bloomington, IN 47405-5701, United States (email)

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.

Keywords:  Primitive equations, hydrostatic balance, mean vorticity, mean stream function.
Mathematics Subject Classification:  Primary: 35Q35; Secondary: 86A10.

Received: September 2002; Published: April 2003.