Identification

Title

Free oscillations of deep nonhydrostatic global atmospheres: Theory and a test of numerical schemes

Abstract

This report describes a method of calculating the modes of small-amplitude free oscillations of a compressible, stratified, nonhydrostatic, rotating deep atmosphere, confined between two concentric spheres, including sin q and cos e Coriolis terms, where q is the latitude. Unlike the Laplace-Taylor problem for the hydrostatic primitive equations that can be solved by the separation of variables, the present problem is non-separable. In this study, normal mode solutions are obtained numerically by setting up an eigenvalueeigenfunction matrix problem by the combination of a spherical harmonics expansion in the horizontal direction and a finite-difference discretization in the radial direction. A Test of the numerical schemes is conducted for an isothermal basic state with a constant gravitational acceleration. In order to identify the species of solutions, a shallow atmosphere version of the same formulation is considered in parallel. Because the shallow nonhydrostatic normal mode problem can be solved also by the separation of variables, two different approaches to the shallow problem provide an aid to verify the numerical schemes of the deep normal mode problem. Numerical results are presented for the frequencies and eigen-structures of various kinds of normal modes in the deep model and compared with those from the shallow model.

Resource type

document

Resource locator

Unique resource identifier

code

http://n2t.net/ark:/85065/d73r0sbn

codeSpace

Dataset language

eng

Spatial reference system

code identifying the spatial reference system

Classification of spatial data and services

Topic category

geoscientificInformation

Keywords

Keyword set

keyword value

Text

originating controlled vocabulary

title

Resource Type

reference date

date type

publication

effective date

2016-01-01T00:00:00Z

Keyword set

keyword value

EARTH SCIENCE SERVICES > MODELS > WEATHER RESEARCH/FORECAST MODELS

originating controlled vocabulary

title

U.S. National Aeronautics and Space Administration Global Change Master Directory

reference date

date type

revision

effective date

2021-09-17

Geographic location

West bounding longitude

East bounding longitude

North bounding latitude

South bounding latitude

Temporal reference

Temporal extent

Begin position

End position

Dataset reference date

date type

publication

effective date

2004-01-01T00:00:00Z

Frequency of update

Quality and validity

Lineage

Conformity

Data format

name of format

version of format

Constraints related to access and use

Constraint set

Use constraints

Copyright Author(s). This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Limitations on public access

None

Responsible organisations

Responsible party

contact position

OpenSky Support

organisation name

UCAR/NCAR - Library

full postal address

PO Box 3000

Boulder

80307-3000

email address

opensky@ucar.edu

web address

http://opensky.ucar.edu/

name: homepage

responsible party role

pointOfContact

Metadata on metadata

Metadata point of contact

contact position

OpenSky Support

organisation name

UCAR/NCAR - Library

full postal address

PO Box 3000

Boulder

80307-3000

email address

opensky@ucar.edu

web address

http://opensky.ucar.edu/

name: homepage

responsible party role

pointOfContact

Metadata date

2023-08-18T18:06:27.898125

Metadata language

eng; USA