112 citations · 1.1k across the 65 of their papers we have counts for
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math.NA2013★ 53 cited
Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements
Andrew T. T. McRae, Colin J. Cotter
This paper presents a family of spatial discretisations of the nonlinear rotating shallow-water equations that conserve both energy and potential enstrophy. These are based on two-…
physics.flu-dyn2013★ 13 cited
Variational formulations of sound-proof models
C. J. Cotter, D. D. Holm
We derive a family of ideal (nondissipative) 3D sound-proof fluid models that includes both the Lipps-Hemler anelastic approximation (AA) and the Durran pseudo-incompressible appro…