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Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows
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| Zeitschriftentitel: | Journal of the Atmospheric Sciences |
|---|---|
| Personen und Körperschaften: | , |
| In: | Journal of the Atmospheric Sciences, 64, 2007, 2, S. 497-514 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
American Meteorological Society
|
| Schlagwörter: |
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Jin, F-F. Lin, L. Jin, F-F. Lin, L. |
|---|---|
| author |
Jin, F-F. Lin, L. |
| spellingShingle |
Jin, F-F. Lin, L. Journal of the Atmospheric Sciences Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows Atmospheric Science |
| author_sort |
jin, f-f. |
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Jin, F-F. Lin, L. 1520-0469 0022-4928 American Meteorological Society Atmospheric Science http://dx.doi.org/10.1175/jas3845.1 <jats:title>Abstract</jats:title> <jats:p>This paper demonstrates the validity of a second-order closure for the ensemble-mean dynamics using the approach of direct numerical ensemble simulations of a linear barotropic model with stochastic basic flows. For various configurations of the stochastic basic flow and external forcing, the deterministic solutions under the second-order closure capture, with remarkable accuracy, the ensemble means and the associated eddy covariance fields of forced responses simulated by a 500-member numerical ensemble. Thus, the second-order closure is found to be adequate for describing the ensemble-mean linear dynamics with stochastic basic flows. Moreover, simple analytical solutions based on the second-order closure also demonstrate that the stochastic component of a superrotational basic flow not only damps the ensemble-mean Rossby waves, but also enhances their eastward propagation. Various examples of ensemble-mean solutions all show the important role played by the stochastic synoptic eddy component of the basic flow in determining the ensemble-mean responses to external forcing. This study supports the notion that linear frameworks of ensemble-mean dynamics under second-order closure are useful tools for describing and understanding the dynamics of the synoptic eddy and the low-frequency flow (SELF) feedback and extratropical atmospheric low-frequency variability.</jats:p> Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows Journal of the Atmospheric Sciences |
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American Meteorological Society, 2007 |
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American Meteorological Society, 2007 |
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| title |
Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
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Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
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Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_fullStr |
Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_full_unstemmed |
Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_short |
Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_sort |
closures for ensemble-mean linear dynamics with stochastic basic flows |
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Atmospheric Science |
| url |
http://dx.doi.org/10.1175/jas3845.1 |
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2007 |
| physical |
497-514 |
| description |
<jats:title>Abstract</jats:title>
<jats:p>This paper demonstrates the validity of a second-order closure for the ensemble-mean dynamics using the approach of direct numerical ensemble simulations of a linear barotropic model with stochastic basic flows. For various configurations of the stochastic basic flow and external forcing, the deterministic solutions under the second-order closure capture, with remarkable accuracy, the ensemble means and the associated eddy covariance fields of forced responses simulated by a 500-member numerical ensemble. Thus, the second-order closure is found to be adequate for describing the ensemble-mean linear dynamics with stochastic basic flows. Moreover, simple analytical solutions based on the second-order closure also demonstrate that the stochastic component of a superrotational basic flow not only damps the ensemble-mean Rossby waves, but also enhances their eastward propagation. Various examples of ensemble-mean solutions all show the important role played by the stochastic synoptic eddy component of the basic flow in determining the ensemble-mean responses to external forcing. This study supports the notion that linear frameworks of ensemble-mean dynamics under second-order closure are useful tools for describing and understanding the dynamics of the synoptic eddy and the low-frequency flow (SELF) feedback and extratropical atmospheric low-frequency variability.</jats:p> |
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| description | <jats:title>Abstract</jats:title> <jats:p>This paper demonstrates the validity of a second-order closure for the ensemble-mean dynamics using the approach of direct numerical ensemble simulations of a linear barotropic model with stochastic basic flows. For various configurations of the stochastic basic flow and external forcing, the deterministic solutions under the second-order closure capture, with remarkable accuracy, the ensemble means and the associated eddy covariance fields of forced responses simulated by a 500-member numerical ensemble. Thus, the second-order closure is found to be adequate for describing the ensemble-mean linear dynamics with stochastic basic flows. Moreover, simple analytical solutions based on the second-order closure also demonstrate that the stochastic component of a superrotational basic flow not only damps the ensemble-mean Rossby waves, but also enhances their eastward propagation. Various examples of ensemble-mean solutions all show the important role played by the stochastic synoptic eddy component of the basic flow in determining the ensemble-mean responses to external forcing. This study supports the notion that linear frameworks of ensemble-mean dynamics under second-order closure are useful tools for describing and understanding the dynamics of the synoptic eddy and the low-frequency flow (SELF) feedback and extratropical atmospheric low-frequency variability.</jats:p> |
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| spelling | Jin, F-F. Lin, L. 1520-0469 0022-4928 American Meteorological Society Atmospheric Science http://dx.doi.org/10.1175/jas3845.1 <jats:title>Abstract</jats:title> <jats:p>This paper demonstrates the validity of a second-order closure for the ensemble-mean dynamics using the approach of direct numerical ensemble simulations of a linear barotropic model with stochastic basic flows. For various configurations of the stochastic basic flow and external forcing, the deterministic solutions under the second-order closure capture, with remarkable accuracy, the ensemble means and the associated eddy covariance fields of forced responses simulated by a 500-member numerical ensemble. Thus, the second-order closure is found to be adequate for describing the ensemble-mean linear dynamics with stochastic basic flows. Moreover, simple analytical solutions based on the second-order closure also demonstrate that the stochastic component of a superrotational basic flow not only damps the ensemble-mean Rossby waves, but also enhances their eastward propagation. Various examples of ensemble-mean solutions all show the important role played by the stochastic synoptic eddy component of the basic flow in determining the ensemble-mean responses to external forcing. This study supports the notion that linear frameworks of ensemble-mean dynamics under second-order closure are useful tools for describing and understanding the dynamics of the synoptic eddy and the low-frequency flow (SELF) feedback and extratropical atmospheric low-frequency variability.</jats:p> Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows Journal of the Atmospheric Sciences |
| spellingShingle | Jin, F-F., Lin, L., Journal of the Atmospheric Sciences, Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows, Atmospheric Science |
| title | Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_full | Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_fullStr | Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_full_unstemmed | Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_short | Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| title_sort | closures for ensemble-mean linear dynamics with stochastic basic flows |
| title_unstemmed | Closures for Ensemble-Mean Linear Dynamics with Stochastic Basic Flows |
| topic | Atmospheric Science |
| url | http://dx.doi.org/10.1175/jas3845.1 |