Cross-equatorial channel flow with zero potential vorticity under the complete Coriolis force

Journal article

We investigate the cross-equatorial flow of deep ocean currents through a channel along the sea floor using the 1-layer or equivalent-barotropic shallow water equations. We restrict our attention to flows with zero potential vorticity, motivated by measurements of the deep Atlantic ocean, and focus on the role of the so-called non-traditional components of the Coriolis force due to the locally horizontal component of the Earth's rotation vector. These components are typically neglected in the...

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Authors: Stewart, A; Dellar, P

• Publication status: Published
• Journal: IMA JOURNAL OF APPLIED MATHEMATICS
• Volume: 77
• Issue: 5
• Pages: 626-651
• Publication date: 2012-10-01
• DOI: 10.1093/imamat/hxs045
• EISSN: 1464-3634
• ISSN: 0272-4960
• Language: English
• Keywords: shallow water; zero potential vorticity; asymptotic solutions; finite-volume methods; cross-equatorial currents; complete Coriolis force