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Remark on the stress tensor formulation advocated by Adcroft and Marshall

FREE-SLIP. The vorticity-divergence formulation for the stress tensor in Adcroft and Marshall is numerically exactly equivalent to the conventional form (laplacian) for the interior. It is only the artificial condition vorticity=0 at corner that makes it different in the vicinity of the corner.

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The last term is the non-conventional new term. For a flow going northward along a wall sloping eastward, this term is positive. This means that the new term is a source of momentum for the v-component.


Resolution = 10.3 km. To be compared to section 4.1

Resolution = 10.3 km. Opposite angle. To be compared to section 4.2
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We observe an improvement in the circulation compared to the respective cases (section 4.1 and section 4.2), although the circulation is still different from the reference one. No attemps has been made to check the convergence with increasing resolution.


Frederic Dupont
mardi 09 juin 1998, 15:55:47 EDT