NASA NTRS · 19850054704
A fully implicit scheme for the barotropic primitive equations
Abstract
An efficient implicit finite-difference method is developed and tested for a global barotropic model. The scheme requires, at each time step, the solution of only one-dimensional block-tridiagonal linear systems. This additional computation is offset by the use of a time step chosen independently of the mesh spacing. The method is second-order accurate in time and fourth-order accurate in space. Present experience indicates that this implicit method is practical for numerical simulation on fine meshes.
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Cohn, S. E., Dee, D., Marchesin, D., Isaacson, E., Zwas, G.. 1985-04-01. A fully implicit scheme for the barotropic primitive equations. https://ntrs.nasa.gov/citations/19850054704
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