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ArticleDiffusion-Based smoothers for spatial filtering of gridded geophysical data(American Geophysical Union, 2021-08-29) Grooms, Ian ; Loose, Nora ; Abernathey, Ryan ; Steinberg, Jacob M. ; Bachman, Scott D. ; Marques, Gustavo ; Guillaumin, Arthur P. ; Yankovsky, ElizabethWe describe a new way to apply a spatial filter to gridded data from models or observations, focusing on low-pass filters. The new method is analogous to smoothing via diffusion, and its implementation requires only a discrete Laplacian operator appropriate to the data. The new method can approximate arbitrary filter shapes, including Gaussian filters, and can be extended to spatially varying and anisotropic filters. The new diffusion-based smoother's properties are illustrated with examples from ocean model data and ocean observational products. An open-source Python package implementing this algorithm, called gcm-filters, is currently under development.
ArticleNeverWorld2: an idealized model hierarchy to investigate ocean mesoscale eddies across resolutions(European Geosciences Union, 2022-09-01) Marques, Gustavo ; Loose, Nora ; Yankovsky, Elizabeth ; Steinberg, Jacob M. ; Chang, Chiung-Yin ; Bhamidipati, Neeraja ; Adcroft, Alistair ; Fox-Kemper, Baylor ; Griffies, Stephen M. ; Hallberg, Robert ; Jansen, Malte F. ; Khatri, Hemant ; Zanna, LaureWe describe an idealized primitive-equation model for studying mesoscale turbulence and leverage a hierarchy of grid resolutions to make eddy-resolving calculations on the finest grids more affordable. The model has intermediate complexity, incorporating basin-scale geometry with idealized Atlantic and Southern oceans and with non-uniform ocean depth to allow for mesoscale eddy interactions with topography. The model is perfectly adiabatic and spans the Equator and thus fills a gap between quasi-geostrophic models, which cannot span two hemispheres, and idealized general circulation models, which generally include diabatic processes and buoyancy forcing. We show that the model solution is approaching convergence in mean kinetic energy for the ocean mesoscale processes of interest and has a rich range of dynamics with circulation features that emerge only due to resolving mesoscale turbulence.