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- W4387452504 abstract "<strong class=journal-contentHeaderColor>Abstract.</strong> This paper presents <tt>MQGeometry</tt>, a multi-layer quasi-geostrophic (QG) equations solver for non-rectangul ar geometries. We advect the potential voriticity (PV) with finite volumes to ensure global PV conservation thanks to a staggered discretization of the PV and stream-function (SF). Thanks to this staggering, the PV is defined inside the domain, removing the need for defining the PV on the domain's boundary. We compute PV fluxes with upwind-biased interpolations whose implicit dissipation replaces the usual explicit (hyper-)viscous dissipation. The presented discretization does not require the tuning of any additional parameter, <em>e.g.</em> additional eddy viscosity. We solve the QG elliptic equation with a fast discrete sine transform spectral solver on rectangular geometry. We extend this fast solver to non-rectangular geometries using the capacitance matrix method. We validate our solver on a vortex-shear instability test case in a circular domain, a vortex-wall interaction test-case, and on an idealized wind-driven double-gyre configuration in a octogonal domain at a eddy-permitting resolution. We release a concise, efficient, and auto-differentiable PyTorch implementation of our method to facilitate future developments upon this new discretization, <em>e.g.</em> machine learning parameterization or data-assimilation techniques." @default.
- W4387452504 created "2023-10-10" @default.
- W4387452504 date "2023-10-09" @default.
- W4387452504 modified "2023-10-10" @default.
- W4387452504 title "Comment on egusphere-2023-1715" @default.
- W4387452504 doi "https://doi.org/10.5194/egusphere-2023-1715-rc2" @default.
- W4387452504 hasPublicationYear "2023" @default.
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