Ocean Turbulence I: One-Point Closure Model Momentum and Heat Vertical Diffusivities

By V. Canuto, A. Howard, Ying Chen, M. Dubovikov. 2001

552 citations recorded by the source corpus.

Subfields: Atmospheric Science, Global and Planetary Change, Oceanography

View Paper: https://www.semanticscholar.org/paper/c5d04f66d159ac0849d38b29979de43e7762fce6

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Citations in the corpus

North Atlantic Simulations with the Hybrid Coordinate Ocean Model (HYCOM): Impact of the Vertical Coordinate Choice, Reference Pressure, and Thermobaricity (2003, methodology): “0 turbulence closure model (Canuto et al. 2001, 2002).”
Energy- and flux-budget (EFB) turbulence closure model for stably stratified flows. Part I: steady-state, homogeneous regimes (2006, methodology): “(21) holds true independently of the assumption that changes slowly. b 2−bN N (2000), Stretch et al. (2001), Canuto et al. (2001), Cheng et al. (2002), Luyten et al. (2002, p. 257), Jin et al. (2003), Umlauf, L., (2005) and Rehmann and Hwang (2005).”
On the critical Richardson number in stably stratified turbulence (2007, background): “…gradient Richardson number (it can be different for different models but usually lies in the range between 0.1 and 1), the eddy viscosity and eddy diffusivity fall to zero thus signaling the termination of turbulent mixing (see e.g. Mellor (1973); Mellor and Yamada (1982) and Canuto et al. (2001)).”
Phytoplankton motility and the competition for nutrients in the thermocline (2007, methodology): “The value for the dinoflagellate uptake rate Umax in Table 1 was chosen in accordance with literature values (e.g. Caperon & Meyer 1972, Kudela et al. 1997), but based on the reasoning that the maximum nitrogen uptake should be able to support the maximum growth (12) If we apply the same reasoning…”
The Flexible Global Ocean‐Atmosphere‐Land System Model Grid‐Point Version 3 (FGOALS‐g3): Description and Evaluation (2020, methodology): “The chlorophyll‐a‐dependent solar penetration of the Ohlmann (2003) scheme (Lin et al., 2007) and vertical mixing of Canuto et al. (2001, 2002) are used in LICOM3.”
A Hierarchy of Energy- and Flux-Budget (EFB) Turbulence Closure Models for Stably-Stratified Geophysical Flows (2011, methodology): “otal energy 1. Introduction Historical overviews of the turbulence closure problem and recent developments in this area of knowledge have been discussed during the last decade by Canuto (2002, 2009), Canuto et al., (2001, 2005, 2008), Cheng et al. (2002), Kurbatskii and Kurbatskaya (2006, 2009, 2010”
Evaluation of vertical coordinate and vertical mixing algorithms in the HYbrid-Coordinate Ocean Model (HYCOM) (2004, methodology): “The Goddard Institute for Space Studies (GISS; Canuto et al., 2001, 2002 ) model is a level 2”
THE MARTIAN ATMOSPHERIC BOUNDARY LAYER (2011, methodology): “Later, the LRR models were also adapted to geophysical flows [e.g., Canuto et al., 2001; Cheng et al., 2002].”
Vertical mixing schemes in the coastal ocean: Comparison of the level 2.5 Mellor‐Yamada scheme with an enhanced version of the K profile parameterization (2004, background): “Several authors have modified it or developed other second-order closure schemes which formulate the relationship between Richardson number and mixing such that turbulence can persist at a higher value [Kantha and Clayson, 1994; Burchard and Baumert, 1995; Mellor, 2001; Canuto et al., 2001].”
A generic length-scale equation for geophysical turbulence models (2003, methodology): “…follow directly without further assumptions from the ASM and depend non-linearly on nondimensional parameters describing the stability of the (cid:143) ow, such as the shear-number, S 5 k / e u M u , or the turbulent Froude-number, Fr 5 Nl / k 1/2 (Mellor and Yamada, 1974; Canuto et al., 2001).”
Why are there large differences between models in global budgets of tropospheric ozone (2007, methodology): “The mixing depth in GEOS is estimated from the bulk Richardson number with surface friction [Holtslag and Boville, 1993] and in the GISS GCM it is estimated on the basis of the vertical profile of turbulent kinetic energy [Canuto, 1994; Canuto et al., 2001].”
Recipe for 1‐D Lagrangian particle tracking models in space‐varying diffusivity (2004, methodology): “…with, for instance, K-ε models (e.g., Burchard and Baumert 1995; Güting and Hutter 1998), Mellor-Yamada type turbulence-closure schemes (e.g., Kantha and Clayson 1994; Simpson et al. 1996; Sharples 1999; Canuto et al. 2001), or based on a simple analytical equation (e.g., Lizon et al. 1998).”
Turbulence energetics in stably stratified geophysical flows: Strong and weak mixing regimes (2008, background): “Holloway, 1986; Dalaudier and Sidi, 1987; Hunt et al., 1988; Canuto and Minotti, 1993; Schumann and Gerz, 1995; Hanazaki and Hunt, 1996; Keller and van Atta, 2000; Canuto et al., 2001; Stretch et al., 2001; Cheng et al., 2002; Luyten et al., 2002; Jin et al., 2003; Hanazaki and Hunt, 2004; Rehmann”