𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Correctness of the vertical discretization in hydrostatic atmospheric models

✍ Scribed by Andrei Bourchtein; Ludmila Bourchtein; Vladimir Kadychnikov

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
234 KB
Volume
135
Category
Article
ISSN
0035-9009

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This study is about properties of the vertical structure matrices of hydrostatic atmospheric models. The main focus of this research is the influence of these matrices on the well‐posedness of vertically discretized initial value problems for linearized hydrostatic atmospheric equations. One of the results obtained states that the vertical structure matrices arising in the usual local vertical discretizations have oscillatory properties, which ensure the positivity of their spectrum and completeness of the set of eigenvectors. In such cases, well‐posedness of the initial value problems considered is proved analytically. Another result is a relation between locality of the vertical approximation and well‐posedness. Based on numerical experiments it is shown that greater non‐locality can lead to ill‐posed initial value problems. Copyright © 2008 Royal Meteorological Society

📜 SIMILAR VOLUMES

A parametric model of vertical eddy flux
A parametric model of vertical eddy fluxes in the atmosphere
✍ Jean-François Louis 📂 Article 📅 1979 🏛 Springer 🌐 English ⚖ 800 KB

A scheme for the representation of the vertical eddy fluxes of heat, momentum and water vapour in a forecast model is presented. An important feature of the scheme is the dependence of the diffusion coefficients on the static stability of the atmosphere. Two tests are presented, using the scheme in

An inherently mass-conserving iterative
An inherently mass-conserving iterative semi-implicit semi-Lagrangian discretization of the non-hydrostatic vertical-slice equations
✍ Thomas Melvin; Mark Dubal; Nigel Wood; Andrew Staniforth; Mohamed Zerroukat 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 758 KB

## Abstract Recently an inherently mass‐conserving semi‐Lagrangian transport scheme has been successfully coupled to an iterative semi‐implicit scheme in a global shallow‐water‐equation (SWE) model. Here that methodology is extended and applied to an iterative semi‐implicit semi‐Lagrangian (SISL) c

The estimation of vertical motion in the
The estimation of vertical motion in the atmosphere
✍ R. C. Graham 📂 Article 📅 1947 🏛 John Wiley and Sons 🌐 English ⚖ 540 KB

## Abstract A procedure is suggested by which an estimate of the ascent or descent of air can be obtained by use of constant‐level maps and upper air soundings plotted on tephigrams or charts of a similar type. Results obtained by this method are compared with those by other methods. Examples of it