Abstract
The variations of the frontogenetic trend of a cold filament induced by the cross-filament wind and wave fields are studied by a non-hydrostatic large eddy simulation. Five cases with different strengths of wind and wave fields are studied. The results show that the intense wind and wave fields further break the symmetries of submesoscale flow fields and suppress the levels of filament frontogenesis. The changes of secondary circulation directions—that is, the conversion between the convergence and divergence of the surface cross-filament currents with the downwelling and upwelling jets in the filament center—are associated with the inertial oscillation. The filament frontogenesis and frontolysis caused by the changes of secondary circulation directions may periodically sharpen and smooth the gradient of submesoscale flow fields. The lifecycle of the cold filament may include multiple stages of filament frontogenesis and frontolysis.
摘 要
采用大涡模拟模式, 基于湍流热成风原理, 在垂直于涡丝方向及不同强度风浪场情况下, 探究了海洋亚中尺度冷涡丝的锋生变化趋势. 本文作者发现增强的风浪场能够进一步破坏亚中尺度流的空间对称结构, 并抑制了锋生强度. 由于科氏力诱导的惯性震荡作用, 次级环流的方向产生了周期性的变化, 进而导致了冷涡丝的锋生过程包括了锋生和锋消两个物理过程. 锋生和锋消能够周期性地锐化和平滑亚中尺度流场, 从而造成了在亚中尺度冷涡丝的生命周期内, 能够包含多个阶段的锋生物理过程.
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References
Bodner, A. S., B. Fox-Kemper, L. P. Van Roekel, J. C. McWilliams, and P. P. Sullivan, 2020: A perturbation approach to understanding the effects of turbulence on frontogenesis. J. Fluid Mech., 883, A25. https://doi.org/10.1017/jfm.2019.804.
Bodner, A. S., B. Fox-Kemper, L. Johnson, L. P. Van Roekel, J. C. McWilliams, P. P. Sullivan, P. S. Hall, and J. H. Dong, 2023: Modifying the mixed layer eddy parameterization to include frontogenesis arrest by boundary layer turbulence. J. Phys. Oceanogr., 53, 323–339, https://doi.org/10.1175/JPO-D-21-0297.1.
Capet, X., J. C. McWilliams, M. J. Molemaker, and A. F. Shchepetkin, 2008a: Mesoscale to submesoscale transition in the California current system. Part I: Flow structure, eddy flux, and observational tests. J. Phys. Oceanogr., 38, 29–43, https://doi.org/10.1175/2007JPO3671.1.
Capet, X., J. C. McWilliams, M. J. Molemaker, and A. F. Shchepetkin, 2008b: Mesoscale to submesoscale transition in the California current system. Part II: frontal processes. J. Phys. Oceanogr., 38, 44–64, https://doi.org/10.1175/2007JPO3672.1.
Capet, X., J. C. McWilliams, M. J. Molemaker, and A. F. Shchepetkin, 2008c: Mesoscale to submesoscale transition in the California current system. Part III: energy balance and flux. J. Phys. Oceanogr., 38, 2256–2269, https://doi.org/10.1175/2008JPO3810.1.
Crowe, M. N., and J. R. Taylor, 2018: The evolution of a front in turbulent thermal wind balance. Part 1. Theory. J. Fluid Mech., 850, 179–211, https://doi.org/10.1017/jfm.2018.448.
Crowe, M. N., and J. R. Taylor, 2019: The evolution of a front in turbulent thermal wind balance. Part 2. Numerical simulations. J. Fluid Mech., 880, 326–352, https://doi.org/10.1017/jfm.2019.688.
Dauhajre, D. P., J. C. McWilliams, and Y. Uchiyama, 2017: Submesoscale coherent structures on the continental shelf. J. Phys. Oceanogr., 47, 2949–2976, https://doi.org/10.1175/JPO-D-16-0270.1.
Gula, J., M. J. Molemaker, and J. C. McWilliams, 2014: Submesoscale cold filaments in the Gulf Stream. J. Phys. Oceanogr., 44, 2617–2643, https://doi.org/10.1175/JPO-D-14-0029.1.
Hamlington, P. E., L. P. Van Roekel, B. Fox-Kemper, K. Julien, and G. P. Chini, 2014: Langmuir-submesoscale interactions: descriptive analysis of multiscale frontal spindown simulations. J. Phys. Oceanogr., 44, 2249–2272, https://doi.org/10.1175/JPO-D-13-0139.1.
Haney, S., B. Fox-Kemper, K. Julien, and A. Webb, 2015: Symmetric and geostrophic instabilities in the wave-forced ocean mixed layer. J. Phys. Oceanogr., 45, 3033–3056, https://doi.org/10.1175/JPO-D-15-0044.1.
Hoskins, B. J., 1982: The mathematical theory of frontogenesis. Annual Review of Fluid Mechanics, 14, 131–151, https://doi.org/10.1146/annurev.fl.14.010182.001023.
Hypolite, D., L. Romero, J. C. McWilliams, and D. P. Dauhajre, 2021: Surface gravity wave effects on submesoscale currents in the open ocean. J. Phys. Oceanogr., 51, 3365–3383, https://doi.org/10.1175/JPO-D-20-0306.1.
Kaminski, A. K., and W. D. Smyth, 2019: Stratified shear instability in a field of pre-existing turbulence. J. Fluid Mech., 862, 639–658, https://doi.org/10.1017/jfm.2018.973.
Kukulka, T., A. J. Plueddemann, J. H. Trowbridge, and P. P. Sullivan, 2009: Significance of Langmuir circulation in upper ocean mixing: Comparison of observations and simulations. Geophys. Res. Lett., 36, L10603. https://doi.org/10.1029/2009GL037620.
Kukulka, T., A. J. Plueddemann, and P. P. Sullivan, 2013: Inhibited upper ocean restratification in nonequilibrium swell conditions. Geophys. Res. Lett., 40, 3672–3676, https://doi.org/10.1002/grl.50708.
Leibovich, S., 1977: Convective instability of stably stratified water in the ocean. J. Fluid Mech., 82, 561–581, https://doi.org/10.1017/S0022112077000846.
Leibovich, S., 1983: The form and dynamics of Langmuir circulations. Annual Review of Fluid Mechanics, 15, 391–427, https://doi.org/10.1146/annurev.fl.15.010183.002135.
Li, G. J., D. X. Wang, J. Chen, J. L. Yao, L. L. Zeng, Y. Q. Shu, and D. D. Sui, 2015: Contrasting dynamic characteristics of shear turbulence and Langmuir circulation in the surface mixed layer. Acta Oceanologica Sinica, 41(5), 1–11, https://doi.org/10.1007/s13131-015-0661-4.
Li, M., C. Garrett, and E. Skyllingstad, 2005: A regime diagram for classifying turbulent large eddies in the upper ocean. Deep Sea Research Part I: Oceanographic Research Papers, 52, 259–278, https://doi.org/10.1016/j.dsr.2004.09.004.
Li, M., S. Vagle, and D. M. Farmer, 2009: Large eddy simulations of upper-ocean response to a midlatitude storm and comparison with observations. J. Phys. Oceanogr., 39, 2295–2309, https://doi.org/10.1175/2009JPO4165.1.
Liu, W. T., K. B. Katsaros, and J. A. Businger, 1979: Bulk parameterization of air-sea exchanges of heat and water vapor including the molecular constraints at the interface. J. Atmos. Sci., 36, 1722–1735, https://doi.org/10.1175/1520-0469(1979)036<1722:BPOASE>2.0.CO;2.
McWilliams, J. C., 2016: Submesoscale currents in the ocean. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472, 20160117. https://doi.org/10.1098/rspa.2016.0117.
McWilliams, J. C., 2017: Submesoscale surface fronts and filaments: secondary circulation, buoyancy flux, and frontogenesis. J. Fluid Mech., 823, 391–432, https://doi.org/10.1017/jfm.2017.294.
McWilliams, J. C., 2018: Surface wave effects on submesoscale fronts and filaments. J. Fluid Mech., 843, 479–517, https://doi.org/10.1017/jfm.2018.158.
McWilliams, J. C., 2019: A survey of submesoscale currents. Geoscience Letters, 6, 3. https://doi.org/10.1186/s40562-019-0133-3.
McWilliams, J. C., 2021: Oceanic frontogenesis. Annual Review of Marine Science, 13, 227–253, https://doi.org/10.1146/annurev-marine-032320-120725.
McWilliams, J. C., and B. Fox-Kemper, 2013: Oceanic wave-balanced surface fronts and filaments. J. Fluid Mech., 730, 464–490, https://doi.org/10.1017/jfm.2013.348.
McWilliams, J. C., P. P. Sullivan, and C. H. Moeng, 1997: Langmuir turbulence in the ocean. J. Fluid Mech., 334, 1–30, https://doi.org/10.1017/S0022112096004375.
McWilliams, J. C., E. Huckle, J. H. Liang, and P. P. Sullivan, 2014: Langmuir turbulence in swell. J. Phys. Oceanogr., 44, 870–890, https://doi.org/10.1175/JPO-D-13-0122.1.
McWilliams, J. C., J. Gula, M. J. Molemaker, L. Renault, and A. F. Shchepetkin, 2015: Filament frontogenesis by boundary layer turbulence. J. Phys. Oceanogr., 45, 1988–2005, https://doi.org/10.1175/JPO-D-14-0211.1.
Moeng, C. H., 1984: A large-eddy-simulation model for the study of planetary boundary-layer turbulence. J. Atmos. Sci., 41, 2052–2062, https://doi.org/10.1175/1520-0469(1984)041<2052:ALESMF>2.0.CO;2.
Noh, Y., G. Goh, and S. Raasch, 2010: Examination of the mixed layer deepening process during convection using LES. J. Phys. Oceanogr., 40, 2189–2195, https://doi.org/10.1175/2010JPO4277.1.
Shakespeare, C. J., and J. R. Taylor, 2013: A generalized mathematical model of geostrophic adjustment and frontogenesis: uniform potential vorticity. J. Fluid Mech., 736, 366–413, https://doi.org/10.1017/jfm.2013.526.
Skyllingstad, E. D., and D. W. Denbo, 1995: An ocean large-eddy simulation of Langmuir circulations and convection in the surface mixed layer. J. Geophys. Res., 100(C5), 8501–8522, https://doi.org/10.1029/94JC03202.
Skyllingstad, E. D., and R. M. Samelson, 2012: Baroclinic frontal instabilities and turbulent mixing in the surface boundary layer. Part I: unforced simulations. J. Phys. Oceanogr., 42, 1701–1716, https://doi.org/10.1175/JPO-D-10-05016.1.
Smith, K. M., P. E. Hamlington, and B. Fox-Kemper, 2016: Effects of submesoscale turbulence on ocean tracers. J. Geophys. Res., 121, 908–933, https://doi.org/10.1002/2015JC011089.
Sullivan, P. P., and E. G. Patton, 2011: The effect of mesh resolution on convective boundary layer statistics and structures generated by large-eddy simulation. J. Atmos. Sci., 68, 2395–2415, https://doi.org/10.1175/JAS-D-10-05010.1.
Sullivan, P. P., and J. C. McWilliams, 2018: Frontogenesis and frontal arrest of a dense filament in the oceanic surface boundary layer. J. Fluid Mech., 837, 341–380, https://doi.org/10.1017/jfm.2017.833.
Sullivan, P. P., and J. C. McWilliams, 2019: Langmuir turbulence and filament frontogenesis in the oceanic surface boundary layer. J. Fluid Mech., 879, 512–553, https://doi.org/10.1017/jfm.2019.655.
Sullivan, P. P., J. C. McWilliams, and C. H. Moeng, 1994: A subgrid-scale model for large-eddy simulation of planetary boundary-layer flows. Bound.-Layer Meteorol., 71, 247–276, https://doi.org/10.1007/BF00713741.
Sullivan, P. P., J. C. McWilliams, and W. K. Melville, 2007: Surface gravity wave effects in the oceanic boundary layer: large-eddy simulation with vortex force and stochastic breakers. J. Fluid Mech., 593, 405–452, https://doi.org/10.1017/S002211200700897X.
Sullivan, P. P., L. Romero, J. C. McWilliams, and W. K. Melville, 2012: Transient evolution of Langmuir turbulence in ocean boundary layers driven by hurricane winds and waves. J. Phys. Oceanogr., 42, 1959–1980, https://doi.org/10.1175/JPO-D-12-025.1.
Suzuki, N., and B. Fox-Kemper, 2016: Understanding stokes forces in the wave-averaged equations. J. Geophys. Res., 121, 3579–3596, https://doi.org/10.1002/2015JC011566.
Suzuki, N., B. Fox-Kemper, P. E. Hamlington, and L. P. Van Roekel, 2016: Surface waves affect frontogenesis. J. Geophys. Res., 121, 3597–3624, https://doi.org/10.1002/2015JC011563.
Van Roekel, L. P., B. Fox-Kemper, P. P. Sullivan, P. E. Hamlington, and S. R. Haney, 2012: The form and orientation of Langmuir cells for misaligned winds and waves. J. Geophys. Res., 117, C05001. https://doi.org/10.1029/2011JC007516.
Wang, D. L., 2001: Large-eddy simulation of the diurnal cycle of oceanic boundary layer: sensitivity to domain size and spatial resolution. J. Geophys. Res., 106(C7), 13 959–13 974, https://doi.org/10.1029/2001JC000896.
Wang, D. X., G. J. Li, L. Shen, and Y. Q. Shu, 2022: Influence of Coriolis parameter variation on Langmuir turbulence in the ocean upper mixed layer with large eddy simulation. Adv. Atmos. Sci., 39, 1487–1500, https://doi.org/10.1007/s00376-021-1390-6.
Yuan, J. G., and J. H. Liang, 2021: Wind- and wave-driven ocean surface boundary layer in a frontal zone: roles of submesoscale eddies and Ekman–Stokes Transport. J. Phys. Oceanogr., 51, 2655–2680, https://doi.org/10.1175/JPO-D-20-0270.1.
Zhang, Z. W., and Coauthors, 2023: Submesoscale inverse energy cascade enhances southern ocean eddy heat transport. Nature Communications, 14, 1335. https://doi.org/10.1038/s41467-023-36991-2.
Acknowledgements
This research was supported by the National Natural Science Foundation of China (Grant Nos. 92158204, 41506001 and 42076019) and a Project supported by the Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai) (Grant No. 311021005). The LES model was provided by the National Center for Atmospheric Research. All numerical calculations were carried out at the High Performance Computing Center (HPCC) of the South China Sea Institute of Oceanology, Chinese Academy of Sciences.
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Article Highlights
• The direction of secondary circulations has a periodic change.
• Cold filament frontogenesis includes frontogenesis and frontolysis.
• The magnitude of the wind and wave fields impacts the intensity of cold filament frontogenesis.
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Li, G., Wang, D., Dong, C. et al. Frontogenesis and Frontolysis of a Cold Filament Driven by the Cross-Filament Wind and Wave Fields Simulated by a Large Eddy Simulation. Adv. Atmos. Sci. 41, 509–528 (2024). https://doi.org/10.1007/s00376-023-3037-2
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DOI: https://doi.org/10.1007/s00376-023-3037-2