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A regularization approach for a vertical‐slice model and semi‐Lagrangian Störmer–Verlet time stepping
Author(s) -
Hundertmark T.,
Reich S.
Publication year - 2007
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.118
Subject(s) - verlet integration , discretization , regularization (linguistics) , hydrostatic equilibrium , lagrangian , mathematics , mathematical analysis , computer science , physics , artificial intelligence , molecular dynamics , quantum mechanics
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