Stochastic effects of waves on currents in the ocean mixed layer
Darryl D. Holm,
Ruiao Hu
Abstract:How does one guarantee that a stochastic approach for modelling fluid dynamics will preserve its fundamental deterministic properties, such as (i) energy conservation, (ii) Kelvin circulation theorem and (iii) conserved quantities arising from the Lagrangian particle relabelling symmetry? In fact, a choice must be made. For example, the approach of stochastic advection by Lie transport (SALT) preserves the latter two properties, but SALT does not conserve the deterministic energy. This paper introduces an ener… Show more
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