{"id":"https://openalex.org/W2887105258","doi":"https://doi.org/10.1007/s41095-018-0117-9","title":"Spatially adaptive long-term semi-Lagrangian method for accurate velocity advection","display_name":"Spatially adaptive long-term semi-Lagrangian method for accurate velocity advection","publication_year":2018,"publication_date":"2018-08-06","ids":{"openalex":"https://openalex.org/W2887105258","doi":"https://doi.org/10.1007/s41095-018-0117-9","mag":"2887105258"},"language":"en","primary_location":{"id":"doi:10.1007/s41095-018-0117-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41095-018-0117-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41095-018-0117-9.pdf","source":{"id":"https://openalex.org/S2487656537","display_name":"Computational Visual Media","issn_l":"2096-0433","issn":["2096-0433","2096-0662"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Visual Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1007/s41095-018-0117-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102946037","display_name":"Takahiro Sato","orcid":"https://orcid.org/0009-0001-3692-7903"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takahiro Sato","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046631319","display_name":"Christopher Batty","orcid":"https://orcid.org/0000-0003-3830-7772"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Christopher Batty","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102743150","display_name":"Takeo Igarashi","orcid":"https://orcid.org/0000-0002-5495-6441"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takeo Igarashi","raw_affiliation_strings":["The University of Tokyo, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088875207","display_name":"Ryoichi Ando","orcid":"https://orcid.org/0000-0002-7899-9091"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryoichi Ando","raw_affiliation_strings":["National Institute of Informatics, Japan","National Institute of Informatics, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102946037"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":4.6543,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.94998147,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"4","issue":"3","first_page":"223","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.789130687713623},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5834988951683044},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.533004879951477},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5113558173179626},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.4744245409965515},{"id":"https://openalex.org/keywords/pressure-gradient","display_name":"Pressure gradient","score":0.4471759498119354},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.443293035030365},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4422565698623657},{"id":"https://openalex.org/keywords/streamlines-streaklines-and-pathlines","display_name":"Streamlines, streaklines, and pathlines","score":0.4222649931907654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3781011402606964},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3258594274520874},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3256884813308716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3091917634010315},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.19837576150894165}],"concepts":[{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.789130687713623},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5834988951683044},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.533004879951477},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5113558173179626},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.4744245409965515},{"id":"https://openalex.org/C98156149","wikidata":"https://www.wikidata.org/wiki/Q2414143","display_name":"Pressure gradient","level":2,"score":0.4471759498119354},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.443293035030365},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4422565698623657},{"id":"https://openalex.org/C60439489","wikidata":"https://www.wikidata.org/wiki/Q634407","display_name":"Streamlines, streaklines, and pathlines","level":2,"score":0.4222649931907654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3781011402606964},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3258594274520874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3256884813308716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3091917634010315},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.19837576150894165},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s41095-018-0117-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41095-018-0117-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41095-018-0117-9.pdf","source":{"id":"https://openalex.org/S2487656537","display_name":"Computational Visual Media","issn_l":"2096-0433","issn":["2096-0433","2096-0662"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Visual Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ffb5dcb2403b45609ebe04c069dcf745","is_oa":true,"landing_page_url":"https://doaj.org/article/ffb5dcb2403b45609ebe04c069dcf745","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Visual Media, Vol 4, Iss 3, Pp 223-230 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s41095-018-0117-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41095-018-0117-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41095-018-0117-9.pdf","source":{"id":"https://openalex.org/S2487656537","display_name":"Computational Visual Media","issn_l":"2096-0433","issn":["2096-0433","2096-0662"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Visual Media","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8999999761581421,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G3436042024","display_name":null,"funder_award_id":"RGPIN-04360","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G4140191525","display_name":null,"funder_award_id":"RGPIN-04360-2014","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G684294415","display_name":null,"funder_award_id":"17H00752","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2887105258.pdf","grobid_xml":"https://content.openalex.org/works/W2887105258.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W85044812","https://openalex.org/W588441650","https://openalex.org/W1584202471","https://openalex.org/W1886421468","https://openalex.org/W1965584528","https://openalex.org/W1991543494","https://openalex.org/W2026825964","https://openalex.org/W2055425259","https://openalex.org/W2059065174","https://openalex.org/W2069847377","https://openalex.org/W2088536902","https://openalex.org/W2105347394","https://openalex.org/W2126195192","https://openalex.org/W2220625991","https://openalex.org/W2295821368","https://openalex.org/W4233546237","https://openalex.org/W4245192669"],"related_works":["https://openalex.org/W1583681036","https://openalex.org/W2120946683","https://openalex.org/W2766557744","https://openalex.org/W4300003913","https://openalex.org/W2195086503","https://openalex.org/W650226188","https://openalex.org/W4388377062","https://openalex.org/W2144729665","https://openalex.org/W2125083254","https://openalex.org/W2462649403"],"abstract_inverted_index":{"We":[0,75],"introduce":[1],"a":[2,42],"new":[3],"advection":[4],"scheme":[5,27],"for":[6,51],"fluid":[7],"animation.":[8],"Our":[9,34],"main":[10],"contribution":[11],"is":[12,64],"the":[13,23,31,45,58,62,68,71],"use":[14],"of":[15,70],"long-term":[16,90],"temporal":[17],"changes":[18],"in":[19,49],"pressure":[20,59],"to":[21,66],"extend":[22],"commonly":[24],"used":[25],"semi-Lagrangian":[26],"further":[28],"back":[29],"along":[30,41,61],"time":[32,50,73],"axis.":[33],"algorithm":[35],"starts":[36],"by":[37],"tracing":[38],"sample":[39],"points":[40],"trajectory":[43],"following":[44],"velocity":[46,69],"field":[47],"backwards":[48],"many":[52],"steps.":[53],"During":[54],"this":[55],"backtracing":[56],"process,":[57],"gradient":[60],"path":[63],"integrated":[65],"correct":[67],"current":[72],"step.":[74],"show":[76],"that":[77],"our":[78],"method":[79],"effectively":[80],"suppresses":[81],"numerical":[82],"diffusion,":[83],"retains":[84],"small-scale":[85],"vorticity,":[86],"and":[87],"provides":[88],"better":[89],"kinetic":[91],"energy":[92],"preservation.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}