An adaptive Lagrange-Galerkin method for the shallow-water equations on the sphere
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چکیده
منابع مشابه
The Lagrange-Galerkin Method for the Two-dimensional Shallow Water Equations on Adaptive Grids
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Currently in most global meteorological applications, the spectral transform method or low-order finite difference/finite element methods are used. The spectral transform method, which yields high-order approximations, requires Legendre transforms. The Legendre transforms have a computational complexity of O(N3), where N is the number of subintervals in one dimension, and thus render the spectr...
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Article history: Received 21 February 2012 Received in revised form 30 May 2012 Accepted 4 June 2012 Available online 16 June 2012
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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 describe the application of a local discontinuous Galerkin method to the numerical solution of the three-dimensional shallow water equations. The shallow water equations are used to model surface water flows where the hydrostatic pressure assumption is valid. The authors recently developed a DGmethod for the depth-integrated shallow water equations. The method described here is an extension ...
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ژورنال
عنوان ژورنال: PAMM
سال: 2003
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200310313