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Method for efficient prevention of gravity wave decoupling on rectangular semi-staggered grids
Authors:Slobodan Nickovic  Vladimir Djurdjevic  Mirjam Vujadinovic  Zavisa I Janjic  Milan Curcic  Borivoj Rajkovic
Institution:1. World Meteorological Organization, 7bis, Avenue de la Paix, 2000 Geneva, Switzerland;2. Institute of Meteorology, Faculty of Physics, University of Belgrade, Dobracina 16, 11000 Belgrade, Serbia;3. South East European Virtual Climate Change Center, Bulevar Oslobodjenja 8, 11000 Belgrade, Serbia;4. Faculty of Agriculture, University of Belgrade, Nemanjina 6, 11080 Belgrade, Serbia;5. National Centers for Environmental Prediction, 5200 Auth Road Camp Springs, Maryland 20746, USA;6. Rosenstiel School of Marine and Atmospheric Science, University of Miami, 4600 Rickenbacker Causeway, Miami, USA
Abstract:Generation of short gravity wave noise often occurs on semi-staggered rectangular grids as a result of sub-grid decoupling when there is a strong forcing in the mass field. In this study a numerical scheme has been proposed to prevent the generation of the gravity wave decoupling. The proposed numerical method provides efficient communication between decoupled gravity wave finite-difference solutions by a simple averaging of a term in the height tendency in the continuity equation. The proposed method is tested using a shallow water sink model developed for the purpose of this study. It has been demonstrated that this method outperforms other existing approaches. The new scheme is time efficient, based on explicit time integration and can be easily implemented. The proposed method is applicable in hydrodynamic models specified on semi-staggered B or E grids.
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