Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii
Based on the theory of inverse problem, the optimization of open boundary conditions (OBCs) in a 3D internal tidal model is investigated with the adjoint method. Fourier coefficients of M2 internal tide on four open boundaries, which are regarded as OBCs, are inverted simultaneously. During the opti...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/950926 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552064565116928 |
|---|---|
| author | Anzhou Cao Haibo Chen Jicai Zhang Xianqing Lv |
| author_facet | Anzhou Cao Haibo Chen Jicai Zhang Xianqing Lv |
| author_sort | Anzhou Cao |
| collection | DOAJ |
| description | Based on the theory of inverse problem, the optimization of open boundary conditions (OBCs) in a 3D internal tidal model is investigated with the adjoint method. Fourier coefficients of M2 internal tide on four open boundaries, which are regarded as OBCs, are inverted simultaneously. During the optimization, the steepest descent method is used to minimize cost function. The reasonability and feasibility of the model are tested by twin experiments (TEs). In TE1, OBCs on four open boundaries are successfully inverted by using independent point (IP) strategy, suggesting that IP strategy is useful in parameter estimation. Results of TE2 indicate that the model is effective even by assimilating inaccurate “observations.” Based on conclusions of TEs, the M2 internal tide around Hawaii is simulated by assimilating T/P data in practical experiment. The simulated cochart shows good agreement with that obtained from the Oregon State University tidal model and T/P observations. Careful inspection shows that the major difference between simulated results and OSU model results is short-scale fluctuations superposed on coamplitude lines, which can be treated as the surface manifestation modulated by the internal tide. The computed surface manifestation along T/P tracks is comparable to the estimation in previous work. |
| format | Article |
| id | doaj-art-1a19b0fa79d84f81880ece0e81cf8505 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1a19b0fa79d84f81880ece0e81cf85052025-02-03T05:59:35ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/950926950926Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around HawaiiAnzhou Cao0Haibo Chen1Jicai Zhang2Xianqing Lv3Laboratory of Physical Oceanography, Ocean University of China, Qingdao 266003, ChinaLaboratory of Physical Oceanography, Ocean University of China, Qingdao 266003, ChinaLaboratory of Coast and Island Development, Nanjing University, Nanjing 210093, ChinaLaboratory of Physical Oceanography, Ocean University of China, Qingdao 266003, ChinaBased on the theory of inverse problem, the optimization of open boundary conditions (OBCs) in a 3D internal tidal model is investigated with the adjoint method. Fourier coefficients of M2 internal tide on four open boundaries, which are regarded as OBCs, are inverted simultaneously. During the optimization, the steepest descent method is used to minimize cost function. The reasonability and feasibility of the model are tested by twin experiments (TEs). In TE1, OBCs on four open boundaries are successfully inverted by using independent point (IP) strategy, suggesting that IP strategy is useful in parameter estimation. Results of TE2 indicate that the model is effective even by assimilating inaccurate “observations.” Based on conclusions of TEs, the M2 internal tide around Hawaii is simulated by assimilating T/P data in practical experiment. The simulated cochart shows good agreement with that obtained from the Oregon State University tidal model and T/P observations. Careful inspection shows that the major difference between simulated results and OSU model results is short-scale fluctuations superposed on coamplitude lines, which can be treated as the surface manifestation modulated by the internal tide. The computed surface manifestation along T/P tracks is comparable to the estimation in previous work.http://dx.doi.org/10.1155/2013/950926 |
| spellingShingle | Anzhou Cao Haibo Chen Jicai Zhang Xianqing Lv Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii Abstract and Applied Analysis |
| title | Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii |
| title_full | Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii |
| title_fullStr | Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii |
| title_full_unstemmed | Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii |
| title_short | Optimization of Open Boundary Conditions in a 3D Internal Tidal Model with the Adjoint Method around Hawaii |
| title_sort | optimization of open boundary conditions in a 3d internal tidal model with the adjoint method around hawaii |
| url | http://dx.doi.org/10.1155/2013/950926 |
| work_keys_str_mv | AT anzhoucao optimizationofopenboundaryconditionsina3dinternaltidalmodelwiththeadjointmethodaroundhawaii AT haibochen optimizationofopenboundaryconditionsina3dinternaltidalmodelwiththeadjointmethodaroundhawaii AT jicaizhang optimizationofopenboundaryconditionsina3dinternaltidalmodelwiththeadjointmethodaroundhawaii AT xianqinglv optimizationofopenboundaryconditionsina3dinternaltidalmodelwiththeadjointmethodaroundhawaii |