{"id":"https://openalex.org/W6943858905","doi":"https://doi.org/10.17630/sta/1284","title":"Three-dimensional solar magnetic field extrapolation using analytical magnetohydrostatic equilibrium solutions","display_name":"Three-dimensional solar magnetic field extrapolation using analytical magnetohydrostatic equilibrium solutions","publication_year":2025,"publication_date":"2025-04-16","ids":{"openalex":"https://openalex.org/W6943858905","doi":"https://doi.org/10.17630/sta/1284"},"language":"en","primary_location":{"id":"pmh:oai:research-repository.st-andrews.ac.uk:10023/31905","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/10023/31905","pdf_url":null,"source":{"id":"https://openalex.org/S4306400230","display_name":"St Andrews Research Repository (St Andrews Research Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I16835326","host_organization_name":"University of St Andrews","host_organization_lineage":["https://openalex.org/I16835326"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"},"volume":null,"type":"dissertation","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/10023/31905","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068036992","display_name":"Lilli Nadol","orcid":"https://orcid.org/0000-0003-0972-3865","observed_orcids":["https://orcid.org/0000-0003-0972-3865"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nadol, Lilli Maria","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5068036992"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10346","display_name":"Magnetic confinement fusion research","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10159","display_name":"Ionosphere and magnetosphere dynamics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/magnetohydrostatic-equilibrium","display_name":"magnetohydrostatic equilibrium","score":0.9169999957084656},{"id":"https://openalex.org/keywords/asymptotic-solutions","display_name":"asymptotic solutions","score":0.847000002861023},{"id":"https://openalex.org/keywords/solar-orbiter","display_name":"Solar Orbiter","score":0.6520000100135803},{"id":"https://openalex.org/keywords/photospheric-boundary-conditions","display_name":"photospheric boundary conditions","score":0.6330000162124634},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.44999998807907104}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.9017999768257141},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7159000039100647},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.6215000152587891},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6057999730110168},{"id":"https://openalex.org/C140190676","wikidata":"https://www.wikidata.org/wiki/Q172137","display_name":"Lorentz force","level":3,"score":0.5698999762535095},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.5566999912261963},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.45179998874664307},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.44130000472068787},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.36149999499320984},{"id":"https://openalex.org/C188841122","wikidata":"https://www.wikidata.org/wiki/Q1976304","display_name":"Dipole model of the Earth's magnetic field","level":5,"score":0.35679998993873596},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C108884401","wikidata":"https://www.wikidata.org/wiki/Q6372","display_name":"Photosphere","level":3,"score":0.32260000705718994},{"id":"https://openalex.org/C106933524","wikidata":"https://www.wikidata.org/wiki/Q190003","display_name":"Chromosphere","level":3,"score":0.3188000023365021},{"id":"https://openalex.org/C183682340","wikidata":"https://www.wikidata.org/wiki/Q2043698","display_name":"Solar physics","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2831000089645386},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2678000032901764},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2662999927997589},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C205995761","wikidata":"https://www.wikidata.org/wiki/Q1810738","display_name":"Field line","level":3,"score":0.26089999079704285},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.2596000134944916}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:research-repository.st-andrews.ac.uk:10023/31905","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/10023/31905","pdf_url":null,"source":{"id":"https://openalex.org/S4306400230","display_name":"St Andrews Research Repository (St Andrews Research Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I16835326","host_organization_name":"University of St Andrews","host_organization_lineage":["https://openalex.org/I16835326"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"},{"id":"doi:10.17630/sta/1284","doi":"https://doi.org/10.17630/sta/1284","is_oa":true,"landing_page_url":"https://doi.org/10.17630/sta/1284","pdf_url":null,"source":{"id":"https://openalex.org/S7407050793","display_name":"University of St Andrews","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:research-repository.st-andrews.ac.uk:10023/31905","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/10023/31905","pdf_url":null,"source":{"id":"https://openalex.org/S4306400230","display_name":"St Andrews Research Repository (St Andrews Research Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I16835326","host_organization_name":"University of St Andrews","host_organization_lineage":["https://openalex.org/I16835326"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"majority":[1],"of":[2,18,52,101,127,131,149,164,191,201,238,275],"coronal":[3,115],"magnetic":[4,43,204],"field":[5,44,116,205],"extrapolation":[6,65,104,206,225,314],"methods":[7,66,226],"use":[8,250,316],"photospheric":[9],"observations":[10,26],"as":[11],"boundary":[12],"conditions":[13],"together":[14,280],"with":[15,281],"the":[16,29,42,49,53,81,86,92,99,146,162,165,189,192,199,211,234,239,253,258,264,276,289,301,318],"assumption":[17],"a":[19,57,107,128,307],"force-free":[20,35,76],"or":[21],"even":[22],"potential":[23,100,302],"corona.":[24],"However,":[25],"suggest":[27],"that":[28],"photosphere":[30],"and":[31,36,85,110,155,175,227,262,266,273],"chromosphere":[32],"are":[33,72,158,278],"not":[34,293],"that,":[37],"therefore,":[38],"currents":[39],"perpendicular":[40],"to":[41,59,75,91,105,144,160,172,176,220,243,283,303],"should":[45],"be":[46,304],"present":[47,233],"in":[48,89,169],"lower":[50],"layers":[51],"solar":[54],"atmosphere.":[55],"As":[56],"result,":[58],"properly":[60],"model":[61,167,277],"these":[62,139,247],"non-force-free":[63],"regions,":[64],"based":[67,213],"on":[68,214],"magnetohydrostatic":[69],"(MHS)":[70],"equilibria":[71,79],"needed.":[73],"Compared":[74],"equilibria,":[77],"MHS":[78,103,132,150,313],"include":[80],"pressure":[82],"gradient":[83],"force":[84,88],"gravitational":[87],"addition":[90],"Lorentz":[93],"force.":[94],"This":[95,135],"thesis":[96,171],"primarily":[97],"investigates":[98],"linear":[102],"become":[106],"practical,":[108],"efficient":[109],"convenient":[111],"tool":[112,242,310],"for":[113,194,296,311,315],"local":[114],"modelling.":[117],"A":[118],"detailed":[119],"investigation":[120],"is":[121,136,292],"carried":[122],"out":[123],"into":[124,306],"asymptotic":[125,140],"solutions":[126,141],"specific":[129],"family":[130],"equilibrium":[133],"equations.":[134],"important":[137],"because":[138],"can":[142],"help":[143],"increase":[145,285],"numerical":[147],"efficiency":[148],"models.":[151],"In":[152],"addition,":[153],"theoretical":[154],"practical":[156],"techniques":[157],"explored":[159],"enable":[161],"application":[163],"analytical":[166],"presented":[168],"this":[170,195,202],"observational":[173,244],"data":[174,222,251],"further":[177,284],"reduce":[178],"its":[179,286],"computation":[180],"time.":[181],"Using":[182],"specialised":[183],"codes":[184],"which":[185],"were":[186],"written":[187],"during":[188],"course":[190],"work":[193],"thesis,":[196],"we":[197,209,232,249],"demonstrate":[198],"capabilities":[200],"new":[203],"method.":[207],"Furthermore,":[208,231],"test":[210],"results":[212],"our":[215],"method":[216],"by":[217,252,263,317],"comparing":[218],"them":[219],"\"ground-truth\"":[221],"from":[223,228],"other":[224],"MHD":[229],"simulations.":[230],"very":[235],"first":[236],"applications":[237,248],"newly":[240],"developed":[241,291,305],"data.":[245],"For":[246],"Helioseismic":[254,267],"Magnetic":[255],"Imager":[256,268],"onboard":[257,269],"Solar":[259,270],"Dynamics":[260],"Observatory,":[261],"Polarimetric":[265],"Orbiter.":[271],"Advantages":[272],"disadvantages":[274],"discussed":[279],"opportunities":[282],"efficiency.":[287],"Although":[288],"code":[290],"yet":[294],"ready":[295],"public":[297],"release,":[298],"it":[299],"has":[300],"publicly":[308],"available":[309],"3D":[312],"broader":[319],"scientific":[320],"community.":[321]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
