An imaginary instability in data assimilation with normal mode initialization

Ballish, Bradley Alan, 1950-; Ward, John H.

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An imaginary instability in data assimilation with normal mode initialization

1983
By Ballish, Bradley Alan, 1950- ; Ward, John H.
Series: Office note (National Centers for Environmental Prediction (U.S.)) ; 276

[PDF-338.08 KB]

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Personal Author:

Ballish, Bradley Alan, 1950- ; Ward, John H.

Ballish, Bradley Alan, 1950- ; Ward, John H. Less -
Corporate Authors:

National Meteorological Center (U.S.)
NOAA Program & Office:

NWS (National Weather Service) ; NCEP (National Centers for Environmental Prediction)

NWS (National Weather Service) ; NCEP (National Centers for Environmental Prediction) Less -
Description:

Small numerical error in the calculation of normal modes can result in zonal modes not being exact conjugate pairs. This causes the nonlinear normal mode initialization to produce zonal model fields with a small amplitude imaginary component, which should be identically zero. These small amplitude imaginary fields can become unstable due to inconsistency in the use of these unreal fields in the normal mode initialization. An example is given of such instability in the NMC assimilation system.
Content Notes:

Bradley A. Ballish and John H. Ward.

"April 1983."

"This is an unreviewed manuscript, primarily intended for informal exchange of information among NMC staff members."

System requirements: Adobe Acrobat Reader.

Includes bibliographical references (page 9).
Keywords:

[+]

Mathematical Models Numerical Analysis Numerical Weather Forecasting Weather Forecasting
Series:

Office note (National Centers for Environmental Prediction (U.S.)) ; 276
Document Type:

Office Note
Place as Subject:

United States
Rights Information:

Public Domain
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Library
Main Document Checksum:

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urn:sha256:a14fe20b7f05dfa0c1309476aaf47b89f9118008e048536f650957854c0d9a3a
Download URL:

https://repository.library.noaa.gov/view/noaa/11530/noaa_11530_DS1.pdf
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An imaginary instability in data assimilation with normal mode initialization

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