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A ‘‘vertically Lagrangian’’ finite-volume dynamical core for global models (2004)
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| Venue: | Weather Rev |
| Citations: | 164 - 10 self |
BibTeX
@ARTICLE{Lin04a‘‘vertically,
author = {Shian-jiann Lin},
title = {A ‘‘vertically Lagrangian’’ finite-volume dynamical core for global models},
journal = {Weather Rev},
year = {2004},
pages = {2293--2307}
}
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Abstract
A finite-volume dynamical core with a terrain-following Lagrangian control-volume discretization is described. The vertically Lagrangian discretization reduces the dimensionality of the physical problem from three to two with the resulting dynamical system closely resembling that of the shallow water system. The 2D horizontalto-Lagrangian-surface transport and dynamical processes are then discretized using the genuinely conservative flux-form semi-Lagrangian algorithm. Time marching is split-explicit, with large time steps for scalar transport, and small fractional steps for the Lagrangian dynamics, which permits the accurate propagation of fast waves. A mass, momentum, and total energy conserving algorithm is developed for remapping the state variables periodically from the floating Lagrangian control-volume to an Eulerian terrain-following coordinate for dealing with ‘‘physical parameterizations’ ’ and to prevent severe distortion of the Lagrangian surfaces. Deterministic baroclinic wave-growth tests and long-term integrations using the Held–Suarez forcing are presented. Impact of the monotonicity constraint is discussed. 1.
Keyphrases
global model lagrangian finite-volume dynamical core shallow water system finite-volume dynamical core eulerian terrain-following coordinate large time step accurate propagation terrain-following lagrangian control-volume discretization fast wave dynamical system long-term integration physical parameterizations held suarez total energy state variable deterministic baroclinic wave-growth test scalar transport conservative flux-form semi-lagrangian algorithm monotonicity constraint lagrangian control-volume small fractional step severe distortion lagrangian surface horizontalto-lagrangian-surface transport dynamical process physical problem lagrangian dynamic lagrangian discretization
