A spectral filtering procedure for eddy-resolving simulations with a spectral element ocean model
type: Item
instance of: scholarly article
title: A spectral filtering procedure for eddy-resolving simulations with a spectral element ocean model
zbMATH Open document ID: 0898.76082
author: Julia Levin
author: Mohamed Iskandarani
author: Dale B. Haidvogel
published in: Journal of Computational Physics
publication date: 1998-01-06T00:00:00Z
review text: We introduce a filtering procedure designed to control the growth of nonlinear instabilities in the spectral element solution of nonlinear oceanic flows. The procedure involves two separate steps. First, a spectral filter is applied to the vorticity and divergence fields to damp oscillations in high-gradient regions and to restore spectral accuracy away from them. Second, the associated velocity field is computed from a set of Poisson equations, and its boundary conditions and interelement continuity are restored. The behavior of the filter is investigated numerically on the canonical problem of the double-gyre wind-driven cirulation in a rectangular basin using a spectral element shallow water model.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 1100746
zbMATH Keywords: nonlinear instabilities
zbMATH Keywords: oscillations
zbMATH Keywords: high-gradient regions
zbMATH Keywords: Poisson equations
zbMATH Keywords: double-gyre wind-driven cirulation
zbMATH Keywords: rectangular basin
zbMATH Keywords: spectral element shallow water model
MaRDI profile type: Publication
OpenAlex ID: W2036625097
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DOI: 10.1006/JCPH.1997.5797
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description: scientific article; zbMATH DE number 1100746