{"title":"下一阶平衡模型捕捉次主题尺度物理和统计信息","authors":"Ryan Shìjié Dù, K. Shafer Smith, Oliver Bühler","doi":"arxiv-2408.03422","DOIUrl":null,"url":null,"abstract":"Using nonlinear simulations in two settings, we demonstrate that\nQG$^\\mathrm{+1}$, a potential-vorticity (PV) based next-order-in-Rossby\nbalanced model, captures several aspects of ocean submesoscale physics. In\nforced-dissipative 3D simulations under baroclinically unstable Eady-type\nbackground states, the statistical equilibrium turbulence exhibits long\ncyclonic tails and a plethora of rapidly-intensifying ageostrophic fronts.\nDespite that the model requires setting an explicit, small value for the fixed\nscaling Rossby number, the emergent flows are nevertheless characterized by\n$O(f)$ vorticity and convergence, as observed in upper-ocean submesoscale\nflows. Simulations of QG$^\\mathrm{+1}$ under the classic strain-induced\nfrontogenesis set-up show realistic frontal asymmetry and a finite time\nblow-up, quantitatively comparable to simulations of the semigeostrophic\nequations. The inversions in the QG$^\\mathrm{+1}$ model are straightforward\nelliptic problems, allowing for the reconstruction of all flow fields from the\nPV and surface buoyancy, while avoiding the semigeostrophic coordinate\ntransformation. Together, these results suggest QG$^\\mathrm{+1}$ as a useful\ntool for studying upper-ocean submesoscale dynamics.","PeriodicalId":501270,"journal":{"name":"arXiv - PHYS - Geophysics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Next-order balanced model captures submesoscale physics and statistics\",\"authors\":\"Ryan Shìjié Dù, K. Shafer Smith, Oliver Bühler\",\"doi\":\"arxiv-2408.03422\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using nonlinear simulations in two settings, we demonstrate that\\nQG$^\\\\mathrm{+1}$, a potential-vorticity (PV) based next-order-in-Rossby\\nbalanced model, captures several aspects of ocean submesoscale physics. In\\nforced-dissipative 3D simulations under baroclinically unstable Eady-type\\nbackground states, the statistical equilibrium turbulence exhibits long\\ncyclonic tails and a plethora of rapidly-intensifying ageostrophic fronts.\\nDespite that the model requires setting an explicit, small value for the fixed\\nscaling Rossby number, the emergent flows are nevertheless characterized by\\n$O(f)$ vorticity and convergence, as observed in upper-ocean submesoscale\\nflows. Simulations of QG$^\\\\mathrm{+1}$ under the classic strain-induced\\nfrontogenesis set-up show realistic frontal asymmetry and a finite time\\nblow-up, quantitatively comparable to simulations of the semigeostrophic\\nequations. The inversions in the QG$^\\\\mathrm{+1}$ model are straightforward\\nelliptic problems, allowing for the reconstruction of all flow fields from the\\nPV and surface buoyancy, while avoiding the semigeostrophic coordinate\\ntransformation. Together, these results suggest QG$^\\\\mathrm{+1}$ as a useful\\ntool for studying upper-ocean submesoscale dynamics.\",\"PeriodicalId\":501270,\"journal\":{\"name\":\"arXiv - PHYS - Geophysics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Geophysics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.03422\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Geophysics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03422","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Next-order balanced model captures submesoscale physics and statistics
Using nonlinear simulations in two settings, we demonstrate that
QG$^\mathrm{+1}$, a potential-vorticity (PV) based next-order-in-Rossby
balanced model, captures several aspects of ocean submesoscale physics. In
forced-dissipative 3D simulations under baroclinically unstable Eady-type
background states, the statistical equilibrium turbulence exhibits long
cyclonic tails and a plethora of rapidly-intensifying ageostrophic fronts.
Despite that the model requires setting an explicit, small value for the fixed
scaling Rossby number, the emergent flows are nevertheless characterized by
$O(f)$ vorticity and convergence, as observed in upper-ocean submesoscale
flows. Simulations of QG$^\mathrm{+1}$ under the classic strain-induced
frontogenesis set-up show realistic frontal asymmetry and a finite time
blow-up, quantitatively comparable to simulations of the semigeostrophic
equations. The inversions in the QG$^\mathrm{+1}$ model are straightforward
elliptic problems, allowing for the reconstruction of all flow fields from the
PV and surface buoyancy, while avoiding the semigeostrophic coordinate
transformation. Together, these results suggest QG$^\mathrm{+1}$ as a useful
tool for studying upper-ocean submesoscale dynamics.