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Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements
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Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements
classification
math.NA
cs.NAphysics.ao-ph
keywords
finiteequationsmethodsshallow-wateraforementionedconservedifferencediscretisations
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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-dimensional mixed finite element methods and hence, unlike some finite difference methods, do not require an orthogonal grid. Numerical verification of the aforementioned properties is also provided.
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