Comparison of Exact and Approximate MHD Slow Body Mode Solutions in Photospheric Waveguides
In this study, we explore the possibility of simplifying the modeling of magnetohydrodynamic slow body modes observed in photospheric magnetic structures such as the umbrae of sunspots and pores. The simplifying approach assumes that the variation of the eigenvalues of slow body waves can be derived...
Gespeichert in:
| Veröffentlicht in: | The Astrophysical journal 2022-10, Vol.938 (1), p.32 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 1 |
| container_start_page | 32 |
| container_title | The Astrophysical journal |
| container_volume | 938 |
| creator | Aldhafeeri, Anwar A. Verth, Gary Fedun, Viktor Lennard, Matthew Ballai, I. |
| description | In this study, we explore the possibility of simplifying the modeling of magnetohydrodynamic slow body modes observed in photospheric magnetic structures such as the umbrae of sunspots and pores. The simplifying approach assumes that the variation of the eigenvalues of slow body waves can be derived by imposing that the longitudinal component of velocity with respect to the tube axis is zero at the boundary of the magnetic flux tube, which is in good agreement with observations. To justify our approach, we compare the results of our simplified model for slow body modes in cylindrical flux tubes with the model prediction obtained by imposing the continuity of the radial component of the velocity and total pressure at the boundary of the flux tube. Our results show that, to a high accuracy (less than 1% for the considered model), the conditions of continuity of the component of transversal velocity and pressure at the boundary can be neglected when modeling slow body modes under photospheric conditions. |
| doi_str_mv | 10.3847/1538-4357/ac912b |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_iop_j</sourceid><recordid>TN_cdi_iop_journals_10_3847_1538_4357_ac912b</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2724312592</sourcerecordid><originalsourceid>FETCH-LOGICAL-c379t-70dac8202c6d34fbec049e172dc24fa0b411531bd6bbe4bffcf85e1189142d793</originalsourceid><addsrcrecordid>eNp1kM1Lw0AQxRdRsFbvHhf0aOx-pckea61WaFGoouBh2eyHTWmzMZto-9-7IaIXPQ0z_ObNvAfAKUaXNGXJAMc0jRiNk4FUHJNsD_R-RvughxBi0ZAmL4fgyPtV2xLOe-B17DalrHLvCugsnGylqqEsNByVZeW2-UbWBs6n13Cxdp_wyukdnDtt4MKtmzp3hYd5AR-Wrna-XJoqV_BZfpi3JtfGH4MDK9fenHzXPni6mTyOp9Hs_vZuPJpFiia8jhKkpUoJImqoKbOZUYhxgxOiFWFWoozh4ARnephlhmXWKpvGBuOUY0Z0wmkfnHW64eP3xvharFxTFeGkIAlhFJOYk0ChjlKV874yVpRVsFftBEaijVC0eYk2L9FFGFbOu5Xclb-aslwJHkgsKBGltgG7-AP7V_ULQN9_IA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2724312592</pqid></control><display><type>article</type><title>Comparison of Exact and Approximate MHD Slow Body Mode Solutions in Photospheric Waveguides</title><source>DOAJ Directory of Open Access Journals</source><source>Institute of Physics Open Access Journal Titles</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>Aldhafeeri, Anwar A. ; Verth, Gary ; Fedun, Viktor ; Lennard, Matthew ; Ballai, I.</creator><creatorcontrib>Aldhafeeri, Anwar A. ; Verth, Gary ; Fedun, Viktor ; Lennard, Matthew ; Ballai, I.</creatorcontrib><description>In this study, we explore the possibility of simplifying the modeling of magnetohydrodynamic slow body modes observed in photospheric magnetic structures such as the umbrae of sunspots and pores. The simplifying approach assumes that the variation of the eigenvalues of slow body waves can be derived by imposing that the longitudinal component of velocity with respect to the tube axis is zero at the boundary of the magnetic flux tube, which is in good agreement with observations. To justify our approach, we compare the results of our simplified model for slow body modes in cylindrical flux tubes with the model prediction obtained by imposing the continuity of the radial component of the velocity and total pressure at the boundary of the flux tube. Our results show that, to a high accuracy (less than 1% for the considered model), the conditions of continuity of the component of transversal velocity and pressure at the boundary can be neglected when modeling slow body modes under photospheric conditions.</description><identifier>ISSN: 0004-637X</identifier><identifier>EISSN: 1538-4357</identifier><identifier>DOI: 10.3847/1538-4357/ac912b</identifier><language>eng</language><publisher>Philadelphia: The American Astronomical Society</publisher><subject>Astrophysics ; Continuity (mathematics) ; Cylindrical bodies ; Eigenvalues ; Fluctuations ; Fluid flow ; Magnetic flux ; Magnetohydrodynamics ; Mathematical models ; Modelling ; Photosphere ; Solar photosphere ; Sunspots ; Tubes ; Velocity ; Waveguides</subject><ispartof>The Astrophysical journal, 2022-10, Vol.938 (1), p.32</ispartof><rights>2022. The Author(s). Published by the American Astronomical Society.</rights><rights>2022. The Author(s). Published by the American Astronomical Society. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c379t-70dac8202c6d34fbec049e172dc24fa0b411531bd6bbe4bffcf85e1189142d793</citedby><cites>FETCH-LOGICAL-c379t-70dac8202c6d34fbec049e172dc24fa0b411531bd6bbe4bffcf85e1189142d793</cites><orcidid>0000-0002-3066-7653 ; 0000-0002-9546-2368 ; 0000-0003-2220-5042 ; 0000-0002-0893-7346</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.3847/1538-4357/ac912b/pdf$$EPDF$$P50$$Giop$$Hfree_for_read</linktopdf><link.rule.ids>314,780,784,864,27924,27925,38890,53867</link.rule.ids></links><search><creatorcontrib>Aldhafeeri, Anwar A.</creatorcontrib><creatorcontrib>Verth, Gary</creatorcontrib><creatorcontrib>Fedun, Viktor</creatorcontrib><creatorcontrib>Lennard, Matthew</creatorcontrib><creatorcontrib>Ballai, I.</creatorcontrib><title>Comparison of Exact and Approximate MHD Slow Body Mode Solutions in Photospheric Waveguides</title><title>The Astrophysical journal</title><addtitle>APJ</addtitle><addtitle>Astrophys. J</addtitle><description>In this study, we explore the possibility of simplifying the modeling of magnetohydrodynamic slow body modes observed in photospheric magnetic structures such as the umbrae of sunspots and pores. The simplifying approach assumes that the variation of the eigenvalues of slow body waves can be derived by imposing that the longitudinal component of velocity with respect to the tube axis is zero at the boundary of the magnetic flux tube, which is in good agreement with observations. To justify our approach, we compare the results of our simplified model for slow body modes in cylindrical flux tubes with the model prediction obtained by imposing the continuity of the radial component of the velocity and total pressure at the boundary of the flux tube. Our results show that, to a high accuracy (less than 1% for the considered model), the conditions of continuity of the component of transversal velocity and pressure at the boundary can be neglected when modeling slow body modes under photospheric conditions.</description><subject>Astrophysics</subject><subject>Continuity (mathematics)</subject><subject>Cylindrical bodies</subject><subject>Eigenvalues</subject><subject>Fluctuations</subject><subject>Fluid flow</subject><subject>Magnetic flux</subject><subject>Magnetohydrodynamics</subject><subject>Mathematical models</subject><subject>Modelling</subject><subject>Photosphere</subject><subject>Solar photosphere</subject><subject>Sunspots</subject><subject>Tubes</subject><subject>Velocity</subject><subject>Waveguides</subject><issn>0004-637X</issn><issn>1538-4357</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>O3W</sourceid><recordid>eNp1kM1Lw0AQxRdRsFbvHhf0aOx-pckea61WaFGoouBh2eyHTWmzMZto-9-7IaIXPQ0z_ObNvAfAKUaXNGXJAMc0jRiNk4FUHJNsD_R-RvughxBi0ZAmL4fgyPtV2xLOe-B17DalrHLvCugsnGylqqEsNByVZeW2-UbWBs6n13Cxdp_wyukdnDtt4MKtmzp3hYd5AR-Wrna-XJoqV_BZfpi3JtfGH4MDK9fenHzXPni6mTyOp9Hs_vZuPJpFiia8jhKkpUoJImqoKbOZUYhxgxOiFWFWoozh4ARnephlhmXWKpvGBuOUY0Z0wmkfnHW64eP3xvharFxTFeGkIAlhFJOYk0ChjlKV874yVpRVsFftBEaijVC0eYk2L9FFGFbOu5Xclb-aslwJHkgsKBGltgG7-AP7V_ULQN9_IA</recordid><startdate>20221001</startdate><enddate>20221001</enddate><creator>Aldhafeeri, Anwar A.</creator><creator>Verth, Gary</creator><creator>Fedun, Viktor</creator><creator>Lennard, Matthew</creator><creator>Ballai, I.</creator><general>The American Astronomical Society</general><general>IOP Publishing</general><scope>O3W</scope><scope>TSCCA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>8FD</scope><scope>H8D</scope><scope>KL.</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-3066-7653</orcidid><orcidid>https://orcid.org/0000-0002-9546-2368</orcidid><orcidid>https://orcid.org/0000-0003-2220-5042</orcidid><orcidid>https://orcid.org/0000-0002-0893-7346</orcidid></search><sort><creationdate>20221001</creationdate><title>Comparison of Exact and Approximate MHD Slow Body Mode Solutions in Photospheric Waveguides</title><author>Aldhafeeri, Anwar A. ; Verth, Gary ; Fedun, Viktor ; Lennard, Matthew ; Ballai, I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c379t-70dac8202c6d34fbec049e172dc24fa0b411531bd6bbe4bffcf85e1189142d793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Astrophysics</topic><topic>Continuity (mathematics)</topic><topic>Cylindrical bodies</topic><topic>Eigenvalues</topic><topic>Fluctuations</topic><topic>Fluid flow</topic><topic>Magnetic flux</topic><topic>Magnetohydrodynamics</topic><topic>Mathematical models</topic><topic>Modelling</topic><topic>Photosphere</topic><topic>Solar photosphere</topic><topic>Sunspots</topic><topic>Tubes</topic><topic>Velocity</topic><topic>Waveguides</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aldhafeeri, Anwar A.</creatorcontrib><creatorcontrib>Verth, Gary</creatorcontrib><creatorcontrib>Fedun, Viktor</creatorcontrib><creatorcontrib>Lennard, Matthew</creatorcontrib><creatorcontrib>Ballai, I.</creatorcontrib><collection>Institute of Physics Open Access Journal Titles</collection><collection>IOPscience (Open Access)</collection><collection>CrossRef</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The Astrophysical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aldhafeeri, Anwar A.</au><au>Verth, Gary</au><au>Fedun, Viktor</au><au>Lennard, Matthew</au><au>Ballai, I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Comparison of Exact and Approximate MHD Slow Body Mode Solutions in Photospheric Waveguides</atitle><jtitle>The Astrophysical journal</jtitle><stitle>APJ</stitle><addtitle>Astrophys. J</addtitle><date>2022-10-01</date><risdate>2022</risdate><volume>938</volume><issue>1</issue><spage>32</spage><pages>32-</pages><issn>0004-637X</issn><eissn>1538-4357</eissn><abstract>In this study, we explore the possibility of simplifying the modeling of magnetohydrodynamic slow body modes observed in photospheric magnetic structures such as the umbrae of sunspots and pores. The simplifying approach assumes that the variation of the eigenvalues of slow body waves can be derived by imposing that the longitudinal component of velocity with respect to the tube axis is zero at the boundary of the magnetic flux tube, which is in good agreement with observations. To justify our approach, we compare the results of our simplified model for slow body modes in cylindrical flux tubes with the model prediction obtained by imposing the continuity of the radial component of the velocity and total pressure at the boundary of the flux tube. Our results show that, to a high accuracy (less than 1% for the considered model), the conditions of continuity of the component of transversal velocity and pressure at the boundary can be neglected when modeling slow body modes under photospheric conditions.</abstract><cop>Philadelphia</cop><pub>The American Astronomical Society</pub><doi>10.3847/1538-4357/ac912b</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0002-3066-7653</orcidid><orcidid>https://orcid.org/0000-0002-9546-2368</orcidid><orcidid>https://orcid.org/0000-0003-2220-5042</orcidid><orcidid>https://orcid.org/0000-0002-0893-7346</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0004-637X |
| ispartof | The Astrophysical journal, 2022-10, Vol.938 (1), p.32 |
| issn | 0004-637X 1538-4357 |
| language | eng |
| recordid | cdi_iop_journals_10_3847_1538_4357_ac912b |
| source | DOAJ Directory of Open Access Journals; Institute of Physics Open Access Journal Titles; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Astrophysics Continuity (mathematics) Cylindrical bodies Eigenvalues Fluctuations Fluid flow Magnetic flux Magnetohydrodynamics Mathematical models Modelling Photosphere Solar photosphere Sunspots Tubes Velocity Waveguides |
| title | Comparison of Exact and Approximate MHD Slow Body Mode Solutions in Photospheric Waveguides |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T20%3A29%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_iop_j&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Comparison%20of%20Exact%20and%20Approximate%20MHD%20Slow%20Body%20Mode%20Solutions%20in%20Photospheric%20Waveguides&rft.jtitle=The%20Astrophysical%20journal&rft.au=Aldhafeeri,%20Anwar%20A.&rft.date=2022-10-01&rft.volume=938&rft.issue=1&rft.spage=32&rft.pages=32-&rft.issn=0004-637X&rft.eissn=1538-4357&rft_id=info:doi/10.3847/1538-4357/ac912b&rft_dat=%3Cproquest_iop_j%3E2724312592%3C/proquest_iop_j%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2724312592&rft_id=info:pmid/&rfr_iscdi=true |