Abstract
Recently, it has been demonstrated that the semi-implicit semi-Lagrangian technique can be successfully coupled with a three-time-level spectral discretization of the barotropic shallow-water equations. This permits the use of time steps that are much larger than those permitted by the Courant-Friedrichs-Lewy (CFL) stability criterion for the corresponding Eulerian model, without loss of accuracy. In this paper we show that it is possible to further quadruple the efficiency of semi-implicit semi-Lagrangian spectral models beyond that already demonstrated. A doubling of efficiency accrues from the use of the stable and accurate two-time-level scheme described herein. For semi-implicit semi-Lagrangian spectral models a further doubling of efficiency can be achieved by using a smaller computational Gaussian grid than the usual one, without incurring the significant loss of stability and accuracy that is observed for the corresponding Eulerian spectral model in analogous circumstances.
Keywords
Barotropic fluidDiscretizationStability (learning theory)Eulerian pathLagrangianApplied mathematicsMathematicsGridGaussianComputer scienceMathematical analysisMechanicsPhysicsGeometry
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 116
- Issue
- 10
- Pages
- 2003-2012
- Citations
- 83
- Access
- Closed
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Cite This
Jean Côté,
Andrew Staniforth
(1988).
A Two-Time-Level Semi-Lagrangian Semi-implicit Scheme for Spectral Models.
Monthly Weather Review
, 116
(10)
, 2003-2012.
https://doi.org/10.1175/1520-0493(1988)116<2003:attlsl>2.0.co;2
Identifiers
- DOI
- 10.1175/1520-0493(1988)116<2003:attlsl>2.0.co;2