The Seasonal Variability of the Ocean Energy Cycle from a Quasi-Geostrophic Double Gyre Ensemble
Abstract
:1. Introduction
2. Model Description
3. Derivation of the Lorenz Energy Cycle
4. Results
4.1. The Domain Integrated Lorenz Energy Cycle
4.2. Time Lag in Lower-Layer Energetics
5. Discussion and Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A. Derivation of the Layered Quasi-Geostrophic Potential Vorticity
Appendix B. The Omega Equation with a Temporally Varying Background Stratification
Appendix C. Decomposing the Mean and Eddy Energetics
Appendix D. The Three-Layer QG Lorenz Energy Cycle
References
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Parameter | Notation | Value | Unit |
---|---|---|---|
Number of horizontal grids | N | 1024 | - |
Number of vertical layers | 3 | - | |
Non-dim. horizontal domain size | 80 | - | |
Non-dim. horizontal resolution | - | ||
Background Rossby number | - | ||
Non-dim. Coriolis parameter | - | ||
Bottom Ekman number | - | ||
Non-dim. surface Ekman pumping | - | ||
Biharmonic Reynolds number | 4000 | - | |
Non-dim. beta | - | ||
Background Froude number | - | ||
Amplitude of | - | ||
Non-dim. frequency of | - | ||
Non-dim. layer thickness | - | ||
Non-dim. reduced gravity | - | ||
Non-dim. maximum time stepping | - | ||
CFL condition | - | - | |
Horizontal velocity | U | [m s] | |
Length scale | L | 50 | [km] |
Total layer thickness | H | 5000 | [m] |
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Uchida, T.; Deremble, B.; Penduff, T. The Seasonal Variability of the Ocean Energy Cycle from a Quasi-Geostrophic Double Gyre Ensemble. Fluids 2021, 6, 206. https://doi.org/10.3390/fluids6060206
Uchida T, Deremble B, Penduff T. The Seasonal Variability of the Ocean Energy Cycle from a Quasi-Geostrophic Double Gyre Ensemble. Fluids. 2021; 6(6):206. https://doi.org/10.3390/fluids6060206
Chicago/Turabian StyleUchida, Takaya, Bruno Deremble, and Thierry Penduff. 2021. "The Seasonal Variability of the Ocean Energy Cycle from a Quasi-Geostrophic Double Gyre Ensemble" Fluids 6, no. 6: 206. https://doi.org/10.3390/fluids6060206