Shallow layer correction for Spectral Element like methods
نویسندگان
چکیده
منابع مشابه
Spectral Element Methods for TransitionalFlowsPaul
We describe the development and implementation of an eecient spectral element code for simulating transitional ows in complex three-dimensional domains. Critical to this eeort is the use of geometrically nonconforming elements that allow localized reenement in regions of interest, coupled with a stabilized high-order time-split formulation of the semi-discrete Navier-Stokes equations. Simulatio...
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The Lagrange-Galerkin spectral element method for the two-dimensional shallow water equations is presented. The equations are written in conservation form and the domains are discretized using quadrilateral elements. Lagrangian methods integrate the governing equations along the characteristic curves, thus being well suited for resolving the nonlinearities introduced by the advection operator o...
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We present the derivation of the discrete Euler–Lagrange equations for an inverse spectral element ocean model based on the shallow water equations. We show that the discrete Euler–Lagrange equations can be obtained from the continuous Euler–Lagrange equations by using a correct combination of the weak and the strong forms of derivatives in the Galerkin integrals, and by changing the order with...
متن کاملSpectral Element Methods for Transitional Flows
We describe the development and implementation of an e cient spectral element code for simulating transitional ows in complex three dimensional domains Critical to this e ort is the use of ge ometrically nonconforming elements that allow localized re nement in regions of interest coupled with a stabilized high order time split formulation of the semi discrete Navier Stokes equations Simula tion...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2008
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.2007.03703.x