On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current
The numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. The stability of different kinds of solitary waves is considered. Both depression wave...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/480670 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560787018743808 |
|---|---|
| author | Dali Guo Bo Tao Xiaohui Zeng |
| author_facet | Dali Guo Bo Tao Xiaohui Zeng |
| author_sort | Dali Guo |
| collection | DOAJ |
| description | The numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. The stability of different kinds of solitary waves is considered. Both depression wave and large amplitude elevation wave are found to be stable, while small amplitude elevation wave is unstable to the small perturbation, and it finally evolves to be a depression wave with tails, which is similar to the irrotational capillary-gravity waves. |
| format | Article |
| id | doaj-art-111c01c10e044ce9b1928efcdb38ff70 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-111c01c10e044ce9b1928efcdb38ff702025-02-03T01:26:41ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/480670480670On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear CurrentDali Guo0Bo Tao1Xiaohui Zeng2School of Science, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaSchool of Science, Southwest Petroleum University, Chengdu, Sichuan 610500, ChinaState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, ChinaThe numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. The stability of different kinds of solitary waves is considered. Both depression wave and large amplitude elevation wave are found to be stable, while small amplitude elevation wave is unstable to the small perturbation, and it finally evolves to be a depression wave with tails, which is similar to the irrotational capillary-gravity waves.http://dx.doi.org/10.1155/2014/480670 |
| spellingShingle | Dali Guo Bo Tao Xiaohui Zeng On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current Advances in Mathematical Physics |
| title | On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current |
| title_full | On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current |
| title_fullStr | On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current |
| title_full_unstemmed | On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current |
| title_short | On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current |
| title_sort | on the dynamics of two dimensional capillary gravity solitary waves with a linear shear current |
| url | http://dx.doi.org/10.1155/2014/480670 |
| work_keys_str_mv | AT daliguo onthedynamicsoftwodimensionalcapillarygravitysolitarywaveswithalinearshearcurrent AT botao onthedynamicsoftwodimensionalcapillarygravitysolitarywaveswithalinearshearcurrent AT xiaohuizeng onthedynamicsoftwodimensionalcapillarygravitysolitarywaveswithalinearshearcurrent |