A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids
From rotational potential vorticity-conserved equation with topography effect and dissipation effect, with the help of the multiple-scale method, a new integro-differential equation is constructed to describe the Rossby solitary waves in deep rotational fluids. By analyzing the equation, some conser...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/597807 |
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| author | Hongwei Yang Qingfeng Zhao Baoshu Yin Huanhe Dong |
| author_facet | Hongwei Yang Qingfeng Zhao Baoshu Yin Huanhe Dong |
| author_sort | Hongwei Yang |
| collection | DOAJ |
| description | From rotational potential vorticity-conserved equation with topography effect and dissipation effect, with the help of the multiple-scale method, a new integro-differential equation is constructed to describe the Rossby solitary waves in deep rotational fluids. By analyzing the equation, some conservation laws associated with Rossby solitary waves are derived. Finally, by seeking the numerical solutions of the equation with the pseudospectral method, by virtue of waterfall plots, the effect of detuning parameter and dissipation on Rossby solitary waves generated by topography are discussed, and the equation is compared with KdV equation and BO equation. The results show that the detuning parameter α plays an important role for the evolution features of
solitary waves generated by topography, especially in the resonant case; a large amplitude nonstationary disturbance is generated in the forcing region. This condition may explain the blocking phenomenon which exists in the atmosphere and ocean and generated by topographic forcing. |
| format | Article |
| id | doaj-art-326c07715bb440c7a7d40d835b6156a1 |
| 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-326c07715bb440c7a7d40d835b6156a12025-02-03T01:12:08ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/597807597807A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational FluidsHongwei Yang0Qingfeng Zhao1Baoshu Yin2Huanhe Dong3Information School, Shandong University of Science and Technology, Qingdao 266590, ChinaInformation School, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitute of Oceanology, China Academy of Sciences, Qingdao 266071, ChinaInformation School, Shandong University of Science and Technology, Qingdao 266590, ChinaFrom rotational potential vorticity-conserved equation with topography effect and dissipation effect, with the help of the multiple-scale method, a new integro-differential equation is constructed to describe the Rossby solitary waves in deep rotational fluids. By analyzing the equation, some conservation laws associated with Rossby solitary waves are derived. Finally, by seeking the numerical solutions of the equation with the pseudospectral method, by virtue of waterfall plots, the effect of detuning parameter and dissipation on Rossby solitary waves generated by topography are discussed, and the equation is compared with KdV equation and BO equation. The results show that the detuning parameter α plays an important role for the evolution features of solitary waves generated by topography, especially in the resonant case; a large amplitude nonstationary disturbance is generated in the forcing region. This condition may explain the blocking phenomenon which exists in the atmosphere and ocean and generated by topographic forcing.http://dx.doi.org/10.1155/2013/597807 |
| spellingShingle | Hongwei Yang Qingfeng Zhao Baoshu Yin Huanhe Dong A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids Abstract and Applied Analysis |
| title | A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids |
| title_full | A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids |
| title_fullStr | A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids |
| title_full_unstemmed | A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids |
| title_short | A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids |
| title_sort | new integro differential equation for rossby solitary waves with topography effect in deep rotational fluids |
| url | http://dx.doi.org/10.1155/2013/597807 |
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