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Accuracy and stability of the discretised isopycnal-mixing equation
Mathieu, P.-P.; Deleersnijder, E.; Beckers, J.-M. (1999). Accuracy and stability of the discretised isopycnal-mixing equation. Appl. Math. Lett. 12: 81-88
In: Applied Mathematics Letters. Pergamon Press: Oxford; New York. ISSN 0893-9659; e-ISSN 1873-5452, more
Peer reviewed article  
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Keywords
    Accuracy
    Audiovisual materials > Graphics > Map graphics > Isopleths > Isopycnics
    Ocean models
    Stability
    Transport processes > Diffusion
    Marine/Coastal
Authors  Top 
  • Mathieu, P.-P., more
  • Deleersnijder, E., more
  • Beckers, J.-M., more
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.
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