Accuracy and stability of the discretised isopycnal-mixing equation

Mathieu, PP;Deleersnijder, Eric
(1999) Applied Mathematics Letters — Vol. 12, n° 4, p. 81-88 (1999)

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Abstract
Coarse-grid ocean models parameterise the effects of mesoscale eddies by means of a mixing operator which diffuses tracers along surfaces of constant potential density, called isopycnals. We establish the consistency conditions, the spatio-temporal accuracy error and the computational stability conditions for the small-slope isopycnal mixing operator. (C) 1999 Elsevier Science Ltd. All rights reserved.
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Mathieu, P., & Deleersnijder, E. (1999). Accuracy and stability of the discretised isopycnal-mixing equation. Applied Mathematics Letters, 12(4), 81-88. https://doi.org/10.1016/S0893-9659(99)00039-7 (Original work published 1999)