Resolving bottom friction, rather than parametrising it, has been demonstrated to significantly increase the accuracy of modelling gravity currents in a rotating framework (Wobus et al., 2011). Prior to the model experiments described here we applied the NEMO-SHELF code (Section 2.2) to the model experiments of Wobus et al. (2011) and successfully validated the results against the laboratory experiments by Shapiro and Zatsepin (1997). NEMO was able to match the laboratory results with the same degree of confidence as the POLCOMS model of Wobus et al. (2011). In an injection-less control run we found spurious velocities
to remain well below 1cms-1 indicating selleckchem the accuracy of the horizontal
pressure gradient scheme. Numerical diffusion at horizontal isopycnals was also effectively controlled. We would like to add a brief note on the condition of “hydrostatic inconsistency” which was brought to the attention of the ocean modelling community Selleckchem Z VAD FMK by Haney (1991) and others. Written for a constant slope angle θ and bathymetric depth D they state that if R=σDΔxtanθδσ, the model should satisfy R⩽1R⩽1 for the finite difference scheme to be hydrostatically consistent and convergent. Mellor et al. (1994), however, showed that this condition strongly depends on the exact nature of the numerical scheme, and convergent results can be obtained even for values R≫1R≫1. In fact, in the POLCOMS model of Wobus PD184352 (CI-1040) et al. (2011) the worst-case was R=101R=101, yet a close
agreement was achieved between model and laboratory experiments. In the present study we get R⩽8R⩽8, which adds to our confidence in the results. We perform a series of 45 model runs using the NEMO model setup described in Section 2. The dense water parameters are varied while the initial conditions are identical in all runs. All runs are integrated over a duration of 90 days. With the start of each experiment the injected dense water forms a plume of approximately circular shape which spreads downslope. At the leading edge of the plume wave-like baroclinic instabilities gradually develop into meanders and eddies reaching a width of 8-12 km. At depth, where the Rossby radius of deformation is approx. Ro=4km, the size of these features thus conforms to the expected horizontal length scale of 2×Ro2×Ro to 3×Ro3×Ro (Griffiths and Linden, 1982). On its descent the plume successively encounters East Spitsbergen Water (ESW) near the sill, then Atlantic Water (AW) at intermediate depths and finally Norwegian Sea Deep Water (NSDW). Fig. 4(a) shows a temperature cross-section where the plume has penetrated all three ambient layers and reached the bottom of the slope. A thin warm layer above the bottom is emphasised by the -0.8°C isotherm parallel to the slope between 700 and 1400 m.
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