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

Hundertmark T. | Zendy; Reich S. | Zendy

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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

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