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A regularization approach for a vertical-slice model and semi-Lagrangian Störmer–Verlet time stepping

✍ Scribed by T. Hundertmark; S. Reich


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
424 KB
Volume
133
Category
Article
ISSN
0035-9009

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✦ Synopsis


Abstract

In this paper, we provide a systematic derivation of regularized equations for a non‐hydrostatic and compressible vertical‐slice model of the dry atmosphere. The derivation is based on an analysis of a semi‐implicit discretization of the equations of motion and a recent regularized formulation is obtained as a special case. An implementation of the regularized equations, using a recent second‐order, centred‐in‐time, two‐time‐level semi‐Lagrangian Störmer–Verlet method, is discussed and a series of numerical experiments is conducted. Copyright © 2007 Royal Meteorological Society