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A Lagrange-Laplace Integration Scheme for Weather Prediction and Climate Modelling
Version 1
: Received: 21 August 2022 / Approved: 23 August 2022 / Online: 23 August 2022 (03:13:59 CEST)
A peer-reviewed article of this Preprint also exists.
Lynch, P. A Lagrange–Laplace Integration Scheme for Weather Prediction and Climate Modelling. Meteorology 2022, 1, 355-376. Lynch, P. A Lagrange–Laplace Integration Scheme for Weather Prediction and Climate Modelling. Meteorology 2022, 1, 355-376.
Abstract
A time integration scheme based on semi-Lagrangian advection and
Laplace transform adjustment has been implemented in a baroclinic
primitive equation model. The semi-Lagrangian scheme makes it
possible to use large time steps. However, errors arising from the
semi-implicit scheme increase with the time step size. In contrast,
the errors using the Laplace transform adjustment remain relatively
small for typical time steps used with semi-Lagrangian advection.
Numerical experiments confirm the superior performance of the Laplace
transform scheme relative to the semi-implicit reference model. The algorithmic
complexity of the scheme is comparable to the reference model,
making it computationally competitive, and indicating its potential
for integrating weather and climate prediction models.
Keywords
Numerical weather prediction; Time integration; Filtering; Laplace transform; semi-implicit; semi-Lagrangian; Forecast accuracy
Subject
Environmental and Earth Sciences, Atmospheric Science and Meteorology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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