Remarks on potential vorticity mixing over topography and momentum conservation |
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| Institution: | 1. The First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China;2. Function Laboratory for Ocean Dynamics and Numerical Modeling, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266071, China;3. Key Laboratory of Physical Oceanography (Ocean University of China), Ministry of Education, Qingdao 266100, China;1. College of Computing, Engineering and Construction, University of North Florida, Jacksonville, FL, USA;2. Department of Civil & Environmental Engineering, Maseeh College of Engineering & Computer Science, Portland State University, Portland, OR, USA;3. College of Earth, Ocean and Atmospheric Sciences, Oregon State University, Corvallis, OR, USA;1. Department of Neurology, Huashan Hospital, Fudan University, Shanghai, China;2. Institute of Neurology, WHO Collaborating Center for Research and Training in Neurosciences, Huashan Hospital, Fudan University, Shanghai, China;3. Department of Neurology, Ningxia Medical University Affiliated Hospital, Yinchuan, China;4. Jiaozuo People''s Hospital, Jiaozuo, Henan, China;5. Jincheng Emergency Center, Shanxi Province, China;6. Department of Forensic Medicine, School of Basic Medicine, Fudan University, Shanghai, China;7. Department of Human Anatomy and Histoembryology, School of Basic Medicine, Fudan University, Shanghai, China;8. Department of Biostatistics, School of Public Health, Fudan University, Shanghai, China;9. Department of Medicine and Neurology, University of Melbourne & Royal Melbourne Hospital, Melbourne, Victoria, Australia;10. Beijing Neurosurgical Institute, Capital Medical University, Beijing, China;11. NIHR University College London Hospitals Biomedical Research Centre, UCL Institute of Neurology, Queen Square, London WC1N 3BG, United Kingdom;12. Chalfont Centre for Epilepsy, Chalfont St Peter SL9 0RJ, United Kingdom;13. Stichting Epilepsie Instellingen Nederland (SEIN), Achterweg 5, Heemstede 2103 SW, The Netherlands;14. UCL Institute of Neurology, Box 29, 33 Queen Square, London WC1N 3BG, United Kingdom;1. College of Marine Science and Technology, Zhejiang Ocean University, Zhoushan, Zhejiang, People''s Republic of China;2. Department of Oceanography and Coastal Sciences, Louisiana State University, Baton Rouge, LA, USA |
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| Abstract: | Recent works have shown that parameterizing eddy fluxes as a downgradient diffusion of potential vorticity (PV) generates circulation over topography. This result is examined in the context of a simple barotropic quasi-geostrophic model. It is shown that, unless a constraint on the eddy diffusivity is maintained, the PV mixing parameterization creates a fictitious torque which generates angular momentum. These considerations indicate that momentum conservation is not maintained in recent models that purport to show generation of net alongslope flow associated with PV mixing over topography. |
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