Critical exponent? for hyperfine fields in nickel

Bleck, J.; Butt, R.; Michaelsen, R.; Rosenblum, S. S.; Zeitz, W.‐D.

doi:10.1007/bf01317254

Cited by 4 publications

(5 citation statements)

References 29 publications

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“…Except for the two terms u'du,/ax = -yu' and u'dv,/dy = yu' in (15), the equations for ( u ' , 0 ' ) in the R system are formally identical to the equations for (u, u ) in the regular system. This makes it easy to adapt existing model code (Bleck and Boudra 1981) to the present task. Note that spatial derivatives in (15), (16) and (17) are evaluated in x, rather than R, coordinates.…”

Section: Horizontal Model Coordinatementioning

confidence: 99%

“…This is to ensure conservation of isopycnic potential vorticity wherever possible. A complete description of this mechanism is given in appendix C of Bleck and Boudra (1981).…”

Section: Numerical Implementationmentioning

confidence: 99%

“…We have chosen this bi-harmonic type of eddy viscosity because the damping is much more effective at short length scales than in the mono-harmonic formulation. The eddy viscosity, v , is 0.4 times the absolute value of the total deformation of the horizontal motion field multiplied by Ax' (see Bleck and Boudra 1981), and h is set to 2500m.…”

Section: Numerical Implementationmentioning

confidence: 99%

“…The finite difference equations for Eqs. (l), (2) and (3) have been derived by Bleck (1978Bleck ( , 1979 and Bleck and Boudra (1981) for a staggering scheme referred to by Arakawa and Lamb (1977) as the 'C' grid. Some elements of these equations can be traced back to Sadourny (1975).…”

Section: Finite Difference Equationsmentioning

confidence: 99%

“…The finite difference hydrostatic equation expressed in terms of M can be obtained by differentiating (8) =o. Bleck and Boudra (1981) derived two versions of the finite difference thermodynamic equation. The first is able to model the conversion between potential and kinetic energy, the second conserves specific volume.…”

Section: Finite Difference Equationsmentioning

confidence: 99%

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A two‐dimensional model of mesoscale frontogenesis in the ocean

Bleck

Onken

Woods

1988

Quart J Royal Meteoro Soc

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A two-dimensional primitive equation model conserving potential vorticity is used to simulate the effect of a horizontal barotropic deformation field on a pre-existing isopycnic potential vorticity gradient. The novel feature of the prognostic model is that it accurately describes the development of the density and velocity distributions up to local Rossby number 0.5 and beyond. The model coordinates are based in the vertical on quasi-isopycnic vertical coordinates and in the horizontal on geostrophic coordinates. The model is integrated forward in time for three days creating a density front and a jet of 0.4 m s-] in the surface layers. Cross-jet velocities are one order of magnitude smaller. Conservation of potential vorticity leads to a modulation of spacing between isopycnals as both the cyclonic and anticyclonic vorticity associated with the horizontal shear of the accelerating jet increase. Vortex stretching and compression sustain a strong vertical circulation. The paper shows how the jet kinetic energy is limited by the amount of available potential energy in a catchment area defined by the extent of the region of confluence. The jet becomes shallower as frontogenesis approaches this limit.The model is also applicable to the development of permanent streams in the large-scale circulation of the upper ocean, by slow (order one month) frontogenesis due to gyre-scale deformation acting on an isopycnic potential vorticity gradient in the seasonal thermocline.The vigorous upwelling on the anticyclonic side of the jet raises nutrients through the euphotic zone, increasing primary productivity. This explains observed meoscale modulations of biomass.

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Section: Horizontal Model Coordinatementioning

confidence: 99%

“…This is to ensure conservation of isopycnic potential vorticity wherever possible. A complete description of this mechanism is given in appendix C of Bleck and Boudra (1981).…”

Section: Numerical Implementationmentioning

confidence: 99%

Section: Numerical Implementationmentioning

confidence: 99%

Section: Finite Difference Equationsmentioning

confidence: 99%

Section: Finite Difference Equationsmentioning

confidence: 99%

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