Compact Accurately Boundary-Adjusting high-REsolution Technique for fluid dynamics

Karabasov, Sergey A.; Goloviznin, V. M.

doi:10.1016/j.jcp.2009.06.037

Cited by 182 publications

(63 citation statements)

References 27 publications

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“…The three-layer, double-gyre, QG model simulates wind-forced circulation in a closed-ocean basin on the b plane (Karabasov and Goloviznin 2009;. Potential vorticity (PV) q n in each of the three layers is governed by…”

Section: ) the Double-gyre Qg Modelmentioning

confidence: 99%

“…The vertical shear of the background flow is supercritical and leads to the development of baroclinic instability and subsequent generation of eddies and striations (Berloff et al 2009). A more detailed description of this model can be found in Berloff et al (2009).…”

mentioning

confidence: 99%

“…Figure 1 shows a sketch of the model. The effective advection scheme implemented in this model allows us to achieve large Reynolds numbers on relatively coarse grids (Karabasov et al 2009). …”

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confidence: 99%

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Eddy Trains and Striations in Quasigeostrophic Simulations and the Ocean

Chen

Kamenkovich

Berloff

2016

Journal of Physical Oceanography

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This study explores the relationship between coherent eddies and zonally elongated striations. The investigation involves an analysis of two baroclinic quasigeostrophic models of a zonal and double-gyre flow and a set of altimetry sea level anomaly data in the North Pacific. Striations are defined by either spatiotemporal filtering or empirical orthogonal functions (EOFs), with both approaches leading to consistent results. Coherent eddies, identified here by the modified Okubo-Weiss parameter, tend to propagate along well-defined paths, thus forming ''eddy trains'' that coincide with striations. The striations and eddy trains tend to drift away from the intergyre boundary at the same speed in both the model and observations. The EOF analysis further confirms that these striations in model simulations and altimetry are not an artifact of temporal averaging of random, spatially uncorrelated vortices. This study suggests instead that eddies organize into eddy trains, which manifest themselves as striations in low-pass filtered data and EOF modes.

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Section: ) the Double-gyre Qg Modelmentioning

confidence: 99%

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confidence: 99%

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Eddy Trains and Striations in Quasigeostrophic Simulations and the Ocean

Chen

Kamenkovich

Berloff

2016

Journal of Physical Oceanography

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“…The stencil is staggered in space and time and for advection includes only one computational cell. For nonlinear flows, CABARET uses a low-dissipative conservative flux correction method directly based on the maximum principle [15]. In the LES framework, the non-linear flux correction plays the role of implicit turbulence closure following the MILES approach of Grinstein and Fureby [13, ch.5] which was discussed in the ocean modeling context in [16].…”

Section: Cabaret Simulationsmentioning

confidence: 99%

“…Nek5000 is based on the spectral element method (SEM), which is a high-order weighted residual technique that combines the geometric flexibility of the finite element method (FEM) with the tensor-product efficiencies of spectral methods [20,6]. Cabaret is a "compact accurately boundary-adjusting high-resolution technique" for fluid dynamics simulation [15]. The method is second-order accurate on nonuniform grids in space and time, and has a small dispersion error and computational stencil defined within one space-time cell.…”

Section: Introductionmentioning

confidence: 99%