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Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application
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| Zeitschriftentitel: | Geophysical Research Letters |
|---|---|
| Personen und Körperschaften: | , |
| In: | Geophysical Research Letters, 31, 2004, 4 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
American Geophysical Union (AGU)
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| Schlagwörter: |
| author_facet |
Park, S. K. Kalnay, E. Park, S. K. Kalnay, E. |
|---|---|
| author |
Park, S. K. Kalnay, E. |
| spellingShingle |
Park, S. K. Kalnay, E. Geophysical Research Letters Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application General Earth and Planetary Sciences Geophysics |
| author_sort |
park, s. k. |
| spelling |
Park, S. K. Kalnay, E. 0094-8276 1944-8007 American Geophysical Union (AGU) General Earth and Planetary Sciences Geophysics http://dx.doi.org/10.1029/2003gl018830 <jats:p>In this study, the performance of inverse three‐dimensional variational assimilation (I3D‐Var) is investigated in terms of dissipation process for an advection‐diffusion problem. The performance of I3D‐Var becomes poorer with larger diffusion coefficients. However, even for strong dissipation, the cost function during early iterations in the I3D‐Var decreases still much faster than it does in the standard four‐dimensional variational assimilation (4D‐Var). Based on this observation a hybrid approach that combines the I3D‐Var and the 4D‐Var is suggested to accelerate the performance of 4D‐Var. Application of this hybrid method demonstrates that the I3D‐Var can serve as a preconditioner for carrying minimization in the full 4D‐Var framework. Using the initial conditions obtained through the I3D‐Var, the 4D‐Var showed much faster convergence in minimizing the cost function.</jats:p> Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application Geophysical Research Letters |
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Geophysical Research Letters |
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| title |
Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_unstemmed |
Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_full |
Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_fullStr |
Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_full_unstemmed |
Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_short |
Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_sort |
inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: impact of diffusion and hybrid application |
| topic |
General Earth and Planetary Sciences Geophysics |
| url |
http://dx.doi.org/10.1029/2003gl018830 |
| publishDate |
2004 |
| physical |
|
| description |
<jats:p>In this study, the performance of inverse three‐dimensional variational assimilation (I3D‐Var) is investigated in terms of dissipation process for an advection‐diffusion problem. The performance of I3D‐Var becomes poorer with larger diffusion coefficients. However, even for strong dissipation, the cost function during early iterations in the I3D‐Var decreases still much faster than it does in the standard four‐dimensional variational assimilation (4D‐Var). Based on this observation a hybrid approach that combines the I3D‐Var and the 4D‐Var is suggested to accelerate the performance of 4D‐Var. Application of this hybrid method demonstrates that the I3D‐Var can serve as a preconditioner for carrying minimization in the full 4D‐Var framework. Using the initial conditions obtained through the I3D‐Var, the 4D‐Var showed much faster convergence in minimizing the cost function.</jats:p> |
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| author | Park, S. K., Kalnay, E. |
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| author_sort | park, s. k. |
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| description | <jats:p>In this study, the performance of inverse three‐dimensional variational assimilation (I3D‐Var) is investigated in terms of dissipation process for an advection‐diffusion problem. The performance of I3D‐Var becomes poorer with larger diffusion coefficients. However, even for strong dissipation, the cost function during early iterations in the I3D‐Var decreases still much faster than it does in the standard four‐dimensional variational assimilation (4D‐Var). Based on this observation a hybrid approach that combines the I3D‐Var and the 4D‐Var is suggested to accelerate the performance of 4D‐Var. Application of this hybrid method demonstrates that the I3D‐Var can serve as a preconditioner for carrying minimization in the full 4D‐Var framework. Using the initial conditions obtained through the I3D‐Var, the 4D‐Var showed much faster convergence in minimizing the cost function.</jats:p> |
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| spelling | Park, S. K. Kalnay, E. 0094-8276 1944-8007 American Geophysical Union (AGU) General Earth and Planetary Sciences Geophysics http://dx.doi.org/10.1029/2003gl018830 <jats:p>In this study, the performance of inverse three‐dimensional variational assimilation (I3D‐Var) is investigated in terms of dissipation process for an advection‐diffusion problem. The performance of I3D‐Var becomes poorer with larger diffusion coefficients. However, even for strong dissipation, the cost function during early iterations in the I3D‐Var decreases still much faster than it does in the standard four‐dimensional variational assimilation (4D‐Var). Based on this observation a hybrid approach that combines the I3D‐Var and the 4D‐Var is suggested to accelerate the performance of 4D‐Var. Application of this hybrid method demonstrates that the I3D‐Var can serve as a preconditioner for carrying minimization in the full 4D‐Var framework. Using the initial conditions obtained through the I3D‐Var, the 4D‐Var showed much faster convergence in minimizing the cost function.</jats:p> Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application Geophysical Research Letters |
| spellingShingle | Park, S. K., Kalnay, E., Geophysical Research Letters, Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application, General Earth and Planetary Sciences, Geophysics |
| title | Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_full | Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_fullStr | Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_full_unstemmed | Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_short | Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| title_sort | inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: impact of diffusion and hybrid application |
| title_unstemmed | Inverse three‐dimensional variational data assimilation for an advection‐diffusion problem: Impact of diffusion and hybrid application |
| topic | General Earth and Planetary Sciences, Geophysics |
| url | http://dx.doi.org/10.1029/2003gl018830 |