The Motion of a Point Vortex in Multiply-Connected Polygonal Domains
<p dir="ltr">We study the motion of a single point vortex in simply- and multiply-connected polygonal domains. In the case of multiply-connected domains, the polygonal obstacles can be viewed as the cross-sections of 3D polygonal cylinders. First, we utilize conformal mappings to tra...
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| مؤلفون آخرون: | , |
| منشور في: |
2020
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إضافة وسم
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| _version_ | 1864513554563989504 |
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| author | El Mostafa Kalmoun (10710417) |
| author2 | Mohamed M. S. Nasser (14152227) Khalifa A. Hazaa (17785670) |
| author2_role | author author |
| author_facet | El Mostafa Kalmoun (10710417) Mohamed M. S. Nasser (14152227) Khalifa A. Hazaa (17785670) |
| author_role | author |
| dc.creator.none.fl_str_mv | El Mostafa Kalmoun (10710417) Mohamed M. S. Nasser (14152227) Khalifa A. Hazaa (17785670) |
| dc.date.none.fl_str_mv | 2020-07-16T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/sym12071175 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/The_Motion_of_a_Point_Vortex_in_Multiply-Connected_Polygonal_Domains/27827418 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Mathematical physics Pure mathematics point vortex motion conformal mapping Schottky-Klein prime function polygonal domains |
| dc.title.none.fl_str_mv | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">We study the motion of a single point vortex in simply- and multiply-connected polygonal domains. In the case of multiply-connected domains, the polygonal obstacles can be viewed as the cross-sections of 3D polygonal cylinders. First, we utilize conformal mappings to transfer the polygonal domains onto circular domains. Then, we employ the Schottky-Klein prime function to compute the Hamiltonian governing the point vortex motion in circular domains. We compare between the topological structures of the contour lines of the Hamiltonian in symmetric and asymmetric domains. Special attention is paid to the interaction of point vortex trajectories with the polygonal obstacles. In this context, we discuss the effect of symmetry breaking, and obstacle location and shape on the behavior of vortex motion.</p><h2>Other Information</h2><p dir="ltr">Published in: Symmetry<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/sym12071175" target="_blank">https://dx.doi.org/10.3390/sym12071175</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_edb951b0ae7adb748a1d4bab8fcb1bf9 |
| identifier_str_mv | 10.3390/sym12071175 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/27827418 |
| publishDate | 2020 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | The Motion of a Point Vortex in Multiply-Connected Polygonal DomainsEl Mostafa Kalmoun (10710417)Mohamed M. S. Nasser (14152227)Khalifa A. Hazaa (17785670)Mathematical sciencesMathematical physicsPure mathematicspoint vortex motionconformal mappingSchottky-Klein prime functionpolygonal domains<p dir="ltr">We study the motion of a single point vortex in simply- and multiply-connected polygonal domains. In the case of multiply-connected domains, the polygonal obstacles can be viewed as the cross-sections of 3D polygonal cylinders. First, we utilize conformal mappings to transfer the polygonal domains onto circular domains. Then, we employ the Schottky-Klein prime function to compute the Hamiltonian governing the point vortex motion in circular domains. We compare between the topological structures of the contour lines of the Hamiltonian in symmetric and asymmetric domains. Special attention is paid to the interaction of point vortex trajectories with the polygonal obstacles. In this context, we discuss the effect of symmetry breaking, and obstacle location and shape on the behavior of vortex motion.</p><h2>Other Information</h2><p dir="ltr">Published in: Symmetry<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/sym12071175" target="_blank">https://dx.doi.org/10.3390/sym12071175</a></p>2020-07-16T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/sym12071175https://figshare.com/articles/journal_contribution/The_Motion_of_a_Point_Vortex_in_Multiply-Connected_Polygonal_Domains/27827418CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/278274182020-07-16T03:00:00Z |
| spellingShingle | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains El Mostafa Kalmoun (10710417) Mathematical sciences Mathematical physics Pure mathematics point vortex motion conformal mapping Schottky-Klein prime function polygonal domains |
| status_str | publishedVersion |
| title | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains |
| title_full | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains |
| title_fullStr | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains |
| title_full_unstemmed | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains |
| title_short | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains |
| title_sort | The Motion of a Point Vortex in Multiply-Connected Polygonal Domains |
| topic | Mathematical sciences Mathematical physics Pure mathematics point vortex motion conformal mapping Schottky-Klein prime function polygonal domains |