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Reduced-Order Quasilinear Model of Ocean Boundary-Layer Turbulence
- Source :
- Journal of Physical Oceanography. 50:537-558
- Publication Year :
- 2020
- Publisher :
- American Meteorological Society, 2020.
-
Abstract
- The combined effectiveness of model reduction and the quasilinear approximation for the reproduction of the low-order statistics of oceanic surface boundary-layer turbulence is investigated. Idealized horizontally homogeneous problems of surface-forced thermal convection and Langmuir turbulence are studied in detail. Model reduction is achieved with a Galerkin projection of the governing equations onto an subset of modes determined by proper orthogonal decomposition. For less than 0.2% of the modes retained, the reduced quasilinear model is able to reproduce vertical profiles of horizontal mean fields as well as certain energetically important second-order turbulent transport statistics and energies to within 30% error. For intermediate sizes of the basis truncation some statistics approach those found in the fully nonlinear simulations. Thus basis reduction can actually improve upon the accuracy of quasilinear dynamics. A test model with a small total number of modes demonstrates the non-monotonic convergence toward the correct statistics as the size of the basis is increased.<br />24 pages, 14 figures
- Subjects :
- Physics
010504 meteorology & atmospheric sciences
Turbulence
Boundary layer turbulence
Fluid Dynamics (physics.flu-dyn)
FOS: Physical sciences
Physics - Fluid Dynamics
Mechanics
Oceanography
01 natural sciences
010305 fluids & plasmas
Reduced order
Reduction (complexity)
Physics - Atmospheric and Oceanic Physics
Boundary layer
Surface boundary layer
Atmospheric and Oceanic Physics (physics.ao-ph)
0103 physical sciences
14. Life underwater
0105 earth and related environmental sciences
Subjects
Details
- ISSN :
- 15200485 and 00223670
- Volume :
- 50
- Database :
- OpenAIRE
- Journal :
- Journal of Physical Oceanography
- Accession number :
- edsair.doi.dedup.....2adad27d9d0751c3ccf111ec58f1388f