{"id":"https://openalex.org/W1521323282","doi":"https://doi.org/10.1137/140971798","title":"The Interplay of Curvature and Vortices in Flow on Curved Surfaces","display_name":"The Interplay of Curvature and Vortices in Flow on Curved Surfaces","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1521323282","doi":"https://doi.org/10.1137/140971798","mag":"1521323282"},"language":"en","primary_location":{"id":"doi:10.1137/140971798","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140971798","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1406.5021","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073782730","display_name":"Sebastian Reuther","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. Reuther","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044827336","display_name":"Axel Voigt","orcid":"https://orcid.org/0000-0003-2564-3697"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Voigt","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073782730"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.02131297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"2","first_page":"632","last_page":"643"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.7782284021377563},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.753956139087677},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.5784523487091064},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5400316119194031},{"id":"https://openalex.org/keywords/stream-function","display_name":"Stream function","score":0.5358983278274536},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5062457919120789},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4944295883178711},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.49220672249794006},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.46290361881256104},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4575071334838867},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4163252115249634},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.39981693029403687},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3678555488586426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36347413063049316}],"concepts":[{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.7782284021377563},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.753956139087677},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.5784523487091064},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5400316119194031},{"id":"https://openalex.org/C18932819","wikidata":"https://www.wikidata.org/wiki/Q2029236","display_name":"Stream function","level":4,"score":0.5358983278274536},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5062457919120789},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4944295883178711},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.49220672249794006},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.46290361881256104},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4575071334838867},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4163252115249634},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.39981693029403687},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3678555488586426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36347413063049316},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/140971798","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140971798","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1406.5021","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.5021","pdf_url":"https://arxiv.org/pdf/1406.5021","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:1521323282","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1406.5021","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1406.5021","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1406.5021","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1406.5021","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.5021","pdf_url":"https://arxiv.org/pdf/1406.5021","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2970301033","display_name":null,"funder_award_id":"Vo899/11-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3633743130","display_name":null,"funder_award_id":"SPP 1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6743243744","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6795812673","display_name":null,"funder_award_id":"Vo899/11","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8049481498","display_name":null,"funder_award_id":"SPP 1506","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1521323282.pdf","grobid_xml":"https://content.openalex.org/works/W1521323282.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1970534421","https://openalex.org/W1976686975","https://openalex.org/W1981344462","https://openalex.org/W1984533458","https://openalex.org/W1994672871","https://openalex.org/W2005960763","https://openalex.org/W2042092778","https://openalex.org/W2047852582","https://openalex.org/W2050691726","https://openalex.org/W2051392418","https://openalex.org/W2069597777","https://openalex.org/W2073698309","https://openalex.org/W2081084720","https://openalex.org/W2083973144","https://openalex.org/W2113751265","https://openalex.org/W2119253401","https://openalex.org/W2147214099","https://openalex.org/W2147229895","https://openalex.org/W2150086799","https://openalex.org/W2157670588","https://openalex.org/W2264936970","https://openalex.org/W2335432572","https://openalex.org/W3103640787"],"related_works":["https://openalex.org/W2962885875","https://openalex.org/W2737483656","https://openalex.org/W2059763823","https://openalex.org/W2963201616","https://openalex.org/W3184185567","https://openalex.org/W3021859986","https://openalex.org/W2025342887","https://openalex.org/W3164159371","https://openalex.org/W2897422080","https://openalex.org/W3002865931","https://openalex.org/W1968698511","https://openalex.org/W2149447113","https://openalex.org/W3130098025","https://openalex.org/W2079069148","https://openalex.org/W3198884809","https://openalex.org/W3201256598","https://openalex.org/W1671892521","https://openalex.org/W3186606177","https://openalex.org/W2067199134","https://openalex.org/W3184421702"],"abstract_inverted_index":{"Incompressible":[0],"fluids":[1,49],"on":[2,46],"curved":[3],"surfaces":[4],"are":[5],"considered":[6],"with":[7,50],"respect":[8],"to":[9,65],"the":[10,40,61,67],"interplay":[11],"between":[12],"topology,":[13],"geometry,":[14],"and":[15,53],"fluid":[16],"properties":[17],"using":[18,27],"a":[19,43,58],"surface":[20],"vorticity-stream":[21],"function":[22],"formulation,":[23],"which":[24,57],"is":[25,63],"solved":[26],"parametric":[28],"finite":[29,51],"elements.":[30],"Motivated":[31],"by":[32],"designed":[33],"examples":[34,55],"for":[35,48],"superfluids,":[36],"we":[37],"numerically":[38],"consider":[39],"influence":[41],"of":[42],"geometric":[44],"potential":[45],"vortices":[47],"viscosity":[52],"show":[54],"in":[56,60],"change":[59],"geometry":[62],"used":[64],"manipulate":[66],"flow":[68],"field.":[69]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}