2018
DOI: 10.1575/1912/10413
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Chaotic advection, mixing, and property exchange in three-dimensional ocean eddies and gyres

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Cited by 2 publications
(3 citation statements)
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“…Data availability statement. All needed data are available: Brett (2020a) has raw output for daily T, S, and 3D velocities; Brett (2020c) has rotated daily and 148-day mean velocities; Brett (2020b) has all budget terms, manifolds, and their frequency maps. Code for creating manifolds and Eulerian budgets are available as well from Brett (2020d).…”
Section: Appendixmentioning
confidence: 99%
“…Data availability statement. All needed data are available: Brett (2020a) has raw output for daily T, S, and 3D velocities; Brett (2020c) has rotated daily and 148-day mean velocities; Brett (2020b) has all budget terms, manifolds, and their frequency maps. Code for creating manifolds and Eulerian budgets are available as well from Brett (2020d).…”
Section: Appendixmentioning
confidence: 99%
“…In order to investigate the dynamics of the gyre flow field in more detail, the effects of the different terms in the momentum equation are considered. For this, the vertically averaged horizontal momentum equation over the depth layers influenced by the gyre velocity field (i.e., the thermocline layer and epilimnion) is expressed as (Brett, 2018; Brett et al., 2020; Cimatoribus et al., 2018; Vallis, 2017): Uhbold-italict=bold-italicP+bold-italicN+bold-italicC+bold-italicFbold-italicD $\frac{\partial {\boldsymbol{U}}_{\boldsymbol{h}}}{\partial \boldsymbol{t}}=\boldsymbol{P}+\boldsymbol{N}+\boldsymbol{C}+\boldsymbol{F}-\boldsymbol{D}$ where U h = ( u , v ) is the horizontal velocity field, bold-italicP=()1ρPx,1ρPy $\boldsymbol{P}=\left(-\frac{1}{\rho }\frac{\partial P}{\partial x},-\frac{1}{\rho }\frac{\partial P}{\partial y}\right)$ is the acceleration induced by the barotropic and baroclinic pressure gradients, bold-italicN=()()trueu.u,()trueu.v $\boldsymbol{N}=\left(-\left(\overrightarrow{\boldsymbol{u}}.\nabla \right)u,-\left(\overrightarrow{\boldsymbol{u}}.\nabla \right)v\right)$ is the acceleration caused by the nonlinear (advection) terms, C = ( fv , − fu ) is the acceleration caused by the Coriolis effect, F = ( F x , F y ) is the acceleration induced by external forces, and D = (− ν ∇ 2 u ,− ν ∇ 2 v ) is the deceleration due to dissipation (i.e., bulk, lateral, and bottom friction). trueu $\overrightarrow{\boldsymbol{u}}$ is the three‐dimensional velocity vector, ν is viscosity, 𝜌 is density, and t is time.…”
Section: Discussionmentioning
confidence: 99%
“…In order to investigate the dynamics of the gyre flow field in more detail, the effects of the different terms in the momentum equation are considered. For this, the vertically averaged horizontal momentum equation over the depth layers influenced by the gyre velocity field (i.e., the thermocline layer and epilimnion) is expressed as (Brett, 2018;Brett et al, 2020;Cimatoribus et al, 2018;Vallis, 2017):…”
Section: Nonlinear Dynamics Associated With a Cyclonic Gyrementioning
confidence: 99%