A Semi-Lagrangian and Semi-Implicit Numerical Integration Scheme for Multilevel Atmospheric Models

André Robert Recherche en prévision numérique, Dorval, Québec, Canada H9P 1J3

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Tai Loy Yee Recherche en prévision numérique, Dorval, Québec, Canada H9P 1J3

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Harold Ritchie Recherche en prévision numérique, Dorval, Québec, Canada H9P 1J3

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Abstract

A complete multilevel atmospheric model of the primitive meteorological equations is integrated at high spatial resolution with a large time step of 90 min. Numerical stability is achieved by associating a semi-Lagrangian technique with the commonly used semi-implicit algorithm.

A detailed description of the method is given and some results are presented. From these runs, it seems possible to infer that the time truncation errors remain relatively small. Because of the 1arger time step, the semi-Lagrangian technique contributes to a significant enhancement of the efficiency of the semi-implicit integration scheme.

Abstract

A complete multilevel atmospheric model of the primitive meteorological equations is integrated at high spatial resolution with a large time step of 90 min. Numerical stability is achieved by associating a semi-Lagrangian technique with the commonly used semi-implicit algorithm.

A detailed description of the method is given and some results are presented. From these runs, it seems possible to infer that the time truncation errors remain relatively small. Because of the 1arger time step, the semi-Lagrangian technique contributes to a significant enhancement of the efficiency of the semi-implicit integration scheme.

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