Integration with the Spectral Vorticity Equation

Baer, F.

doi:10.1175/1520-0469(1964)021<0260:iwtsve>2.0.co;2

Cited by 26 publications

(9 citation statements)

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“…The system used here however (Baer, 1968) has the added flexibility of involving both linear and nonlinear terms in the first-order system of equations;…”

Section: And D I Sc U S S E D I N D E T a I L By Platzman (1960) On mentioning

confidence: 99%

“…5 ) used on If the mots of 6 are pure imaginary, no physical amplification will take place and computational stability can be easily defined. ' The physical stability condition implied in E has been discussed by Baer (1968) and need not be repeated here. We shall concern ourselves with physically stable situations.…”

Section: Multi-component Systemmentioning

confidence: 99%

“…A further observation is t h e remarkable improvement in the calculations (reduction in error) by use of the TC condition. Although this condition has been in computational use with higher-order systems for some time (Baer, 1964), its virtues had not been investigated in any detail.…”

Section: €03 Iadams-ba5hforth) E 33 (Milne)mentioning

confidence: 99%

“…An i n t e r e s t i n g f e a t u r e of t h e leapfrog scheme which i s apparent f o r A t = 8 is t h e l a r g e r e r r o r period, a modulation e f f e c t caused by the paras i t i c mode; t h i s phenomenon has been observed and discussed i n t h e p a s t (see, f o r example, Baer, 1961). An indication of the component e r r o r s seen on Fig.…”

Section: The F a I L U R E Of T H E T O T A L Energy T O I N D I C A mentioning

confidence: 99%

See 3 more Smart Citations

Computational Stability and Time Truncation of Coupled Nonlinear Equations With Exact Solutions

Baer¹,

Simons²

1970

Mon. Wea. Rev.

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“…The system used here however (Baer, 1968) has the added flexibility of involving both linear and nonlinear terms in the first-order system of equations;…”

Section: And D I Sc U S S E D I N D E T a I L By Platzman (1960) On mentioning

confidence: 99%

Section: Multi-component Systemmentioning

confidence: 99%

Section: €03 Iadams-ba5hforth) E 33 (Milne)mentioning

confidence: 99%

Section: The F a I L U R E Of T H E T O T A L Energy T O I N D I C A mentioning

confidence: 99%

See 2 more Smart Citations

Computational Stability and Time Truncation of Coupled Nonlinear Equations With Exact Solutions

Baer¹,

Simons²

1970

Mon. Wea. Rev.

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“…More detail on the development of these equations can be found in Baer (1964), and Baer and Platzman (1961) among others. The vector of the time dependent variable expansion coefficients (the weights of the global structure functions used in the expansion) appears in the prediction system as differentiated in time and must be evaluated as the sum of quadratic products of the time dependent coefficients themselves.…”

Section: Introductionmentioning

confidence: 99%

Optimizing computations in weather and climate prediction models

Baer

Zhang

1998

Meteorl. Atmos. Phys.

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To meet the challenge of developing a comprehensive weather and climate prediction model which can give realistic scenarios for many time scales, more computer power than is currently available will be needed. One possibility for alleviating this shortcoming is to increase the integration timestep. We propose and test several methods which may prove useful. One procedure is an expansion of the model dependent variables in a Taylor series. Application of this method to simple models indicates acceptable increases in timestep by a factor of five. A multilevel approach which is less complex to apply gives comparable results and is more successful when high accuracy is desired. To bypass the limiting constraint of the CFL condition on gravity waves, an approach is suggested in which the prediction model is represented in its normal modes and the high frequency modes are balanced while the low frequency modes are predicted. Experiments with this procedure are described and in combination with the multi-level integration technique show substantial increases in integration timestep for acceptable integration results, both on the forecast and climate scale. Experiments are now underway applying this process to the NCAR/CCM3, a state-ofthe-art model.

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Present and future trends in dynamical meteorology

Pearce¹

1973

Quart J Royal Meteoro Soc

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Integration with the Spectral Vorticity Equation

Cited by 26 publications

References 0 publications

Computational Stability and Time Truncation of Coupled Nonlinear Equations With Exact Solutions

Computational Stability and Time Truncation of Coupled Nonlinear Equations With Exact Solutions

Optimizing computations in weather and climate prediction models

Present and future trends in dynamical meteorology

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