{"id":"https://openalex.org/W3192641716","doi":"https://doi.org/10.1007/s10444-022-09957-z","title":"Numerical algorithms for water waves with background flow over obstacles and topography","display_name":"Numerical algorithms for water waves with background flow over obstacles and topography","publication_year":2022,"publication_date":"2022-07-09","ids":{"openalex":"https://openalex.org/W3192641716","doi":"https://doi.org/10.1007/s10444-022-09957-z","mag":"3192641716"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-022-09957-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-022-09957-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-09957-z.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-09957-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063561103","display_name":"David M. Ambrose","orcid":"https://orcid.org/0000-0003-4753-0319"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David M. Ambrose","raw_affiliation_strings":["Department of Mathematics, Drexel University, Philadelphia, PA, 19104, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Drexel University, Philadelphia, PA, 19104, USA","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051195478","display_name":"Roberto Camassa","orcid":"https://orcid.org/0000-0002-1607-5950"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roberto Camassa","raw_affiliation_strings":["Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055763634","display_name":"Jeremy L. Marzuola","orcid":"https://orcid.org/0000-0002-8668-7143"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeremy L. Marzuola","raw_affiliation_strings":["Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067565794","display_name":"Richard M. McLaughlin","orcid":"https://orcid.org/0000-0001-7003-6779"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard M. McLaughlin","raw_affiliation_strings":["Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077647172","display_name":"Q. Robinson","orcid":null},"institutions":[{"id":"https://openalex.org/I123127086","display_name":"North Carolina Central University","ror":"https://ror.org/051r3tx83","country_code":"US","type":"education","lineage":["https://openalex.org/I123127086"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Quentin Robinson","raw_affiliation_strings":["Department of Mathematics and Physics, North Carolina Central University, Durham, NC, 27707, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, North Carolina Central University, Durham, NC, 27707, USA","institution_ids":["https://openalex.org/I123127086"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045633935","display_name":"Jon Wilkening","orcid":"https://orcid.org/0000-0003-2782-7596"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jon Wilkening","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, Berkeley, CA, 94720-3840, USA"],"raw_orcid":"https://orcid.org/0000-0003-2782-7596","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, Berkeley, CA, 94720-3840, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5045633935"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":2.406,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86018203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"48","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10647","display_name":"Coastal and Marine Dynamics","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10647","display_name":"Coastal and Marine Dynamics","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"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/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9937999844551086,"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/free-surface","display_name":"Free surface","score":0.6685730218887329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6119222640991211},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5175380110740662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5123587846755981},{"id":"https://openalex.org/keywords/conservative-vector-field","display_name":"Conservative vector field","score":0.48447608947753906},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.45384615659713745},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4432767927646637},{"id":"https://openalex.org/keywords/vortex-sheet","display_name":"Vortex sheet","score":0.42758065462112427},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4184281527996063},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.381292462348938},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.37073254585266113},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.26629018783569336},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.2563190162181854},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.22137978672981262},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16420850157737732}],"concepts":[{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.6685730218887329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6119222640991211},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5175380110740662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5123587846755981},{"id":"https://openalex.org/C147457402","wikidata":"https://www.wikidata.org/wiki/Q1588205","display_name":"Conservative vector field","level":3,"score":0.48447608947753906},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.45384615659713745},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4432767927646637},{"id":"https://openalex.org/C2776672048","wikidata":"https://www.wikidata.org/wiki/Q16916679","display_name":"Vortex sheet","level":4,"score":0.42758065462112427},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4184281527996063},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.381292462348938},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37073254585266113},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.26629018783569336},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.2563190162181854},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.22137978672981262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16420850157737732}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-022-09957-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-022-09957-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-09957-z.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:1875577","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1875577","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.1007/s10444-022-09957-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10444-022-09957-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10444-022-09957-z.pdf","source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Advances in Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1286236842","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1300220705","display_name":null,"funder_award_id":"DMS-1352353","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1377155298","display_name":null,"funder_award_id":"N00014-18-1-2490","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G142440244","display_name":null,"funder_award_id":"1907684","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G1476453021","display_name":null,"funder_award_id":"DMS-1352353","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G1513774089","display_name":null,"funder_award_id":"1909035","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1799087276","display_name":"CAREER: Nonlinear PDE Models in Mathematical Physics and Experiment","funder_award_id":"1352353","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2214690962","display_name":null,"funder_award_id":"DMS-1910824","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2599005893","display_name":null,"funder_award_id":"DMS-1909035","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G2749397940","display_name":null,"funder_award_id":"1352353","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G3036539965","display_name":null,"funder_award_id":"DMS-1910824","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G3083819904","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3694622655","display_name":null,"funder_award_id":"DMS-1909035","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3864693589","display_name":null,"funder_award_id":"ONR N00014-18-1-2490","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3925850530","display_name":null,"funder_award_id":"DMS-1907684","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3944918260","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4501827968","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4565140552","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G5261056217","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5449294377","display_name":null,"funder_award_id":"1907684","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6348972864","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6808897450","display_name":null,"funder_award_id":"1716560","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6994811156","display_name":null,"funder_award_id":"DMS-1907684","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G702035197","display_name":null,"funder_award_id":"DMS-1716560","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G7233692708","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7491752393","display_name":null,"funder_award_id":"DMS-1716560","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7810743986","display_name":"Collaborative Research: Self-Assembly and Aggregate Formation in Stratified Fluids","funder_award_id":"1910824","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G964866626","display_name":null,"funder_award_id":"ONR N00014-18-1-2490","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3192641716.pdf","grobid_xml":"https://content.openalex.org/works/W3192641716.grobid-xml"},"referenced_works_count":87,"referenced_works":["https://openalex.org/W98911290","https://openalex.org/W314629590","https://openalex.org/W1493411212","https://openalex.org/W1518826928","https://openalex.org/W1523113578","https://openalex.org/W1609413062","https://openalex.org/W1982115588","https://openalex.org/W1982525722","https://openalex.org/W1988407702","https://openalex.org/W1990271740","https://openalex.org/W1991962363","https://openalex.org/W1992633840","https://openalex.org/W1993426200","https://openalex.org/W1998301011","https://openalex.org/W2003284749","https://openalex.org/W2003405066","https://openalex.org/W2005780385","https://openalex.org/W2012043540","https://openalex.org/W2015581894","https://openalex.org/W2020779850","https://openalex.org/W2020861048","https://openalex.org/W2021036023","https://openalex.org/W2021924286","https://openalex.org/W2024053883","https://openalex.org/W2028956375","https://openalex.org/W2041170998","https://openalex.org/W2049165066","https://openalex.org/W2056960151","https://openalex.org/W2058552401","https://openalex.org/W2065887443","https://openalex.org/W2066349733","https://openalex.org/W2067999166","https://openalex.org/W2071905930","https://openalex.org/W2075085615","https://openalex.org/W2075490793","https://openalex.org/W2079286024","https://openalex.org/W2082306300","https://openalex.org/W2085203656","https://openalex.org/W2087423313","https://openalex.org/W2090669376","https://openalex.org/W2090885565","https://openalex.org/W2092566185","https://openalex.org/W2101953402","https://openalex.org/W2105944327","https://openalex.org/W2106536286","https://openalex.org/W2108754421","https://openalex.org/W2110906296","https://openalex.org/W2117349975","https://openalex.org/W2117648842","https://openalex.org/W2127786644","https://openalex.org/W2128573164","https://openalex.org/W2128936356","https://openalex.org/W2129396286","https://openalex.org/W2129716696","https://openalex.org/W2131027609","https://openalex.org/W2137752382","https://openalex.org/W2144233541","https://openalex.org/W2144468045","https://openalex.org/W2151378099","https://openalex.org/W2152083780","https://openalex.org/W2153788809","https://openalex.org/W2155060704","https://openalex.org/W2159513856","https://openalex.org/W2169437869","https://openalex.org/W2196978521","https://openalex.org/W2271980078","https://openalex.org/W2612376208","https://openalex.org/W2740847274","https://openalex.org/W2958536055","https://openalex.org/W2964346256","https://openalex.org/W2974501049","https://openalex.org/W3007418513","https://openalex.org/W3010623464","https://openalex.org/W3047528752","https://openalex.org/W3098257258","https://openalex.org/W3099647379","https://openalex.org/W3100822983","https://openalex.org/W3101928451","https://openalex.org/W3112263269","https://openalex.org/W3136872995","https://openalex.org/W3167600998","https://openalex.org/W4239006344","https://openalex.org/W4253606650","https://openalex.org/W4254702981","https://openalex.org/W4285719527","https://openalex.org/W4288652121","https://openalex.org/W4292023257"],"related_works":["https://openalex.org/W3028832629","https://openalex.org/W2606338573","https://openalex.org/W2000248102","https://openalex.org/W2131027609","https://openalex.org/W1985479002","https://openalex.org/W2026291819","https://openalex.org/W2020861048","https://openalex.org/W1984179552","https://openalex.org/W2121525414","https://openalex.org/W4380489510"],"abstract_inverted_index":{"Abstract":[0],"We":[1,108,144,184,238],"present":[2],"two":[3,20,233],"accurate":[4],"and":[5,36,89,91,192,205,220,226,247,264],"efficient":[6],"algorithms":[7],"for":[8,93,242],"solving":[9],"the":[10,47,52,55,65,73,77,86,111,146,170,190,198,202,210,213,221,228,232,243,262,269],"incompressible,":[11],"irrotational":[12],"Euler":[13],"equations":[14,116],"with":[15,22,82,141,181,194],"a":[16,26,121,161,176,182,255],"free":[17,78,87,171,203],"surface":[18,48,88,172,204],"in":[19,44,64,175],"dimensions":[21],"background":[23],"flow":[24,155],"over":[25],"periodic,":[27],"multiply":[28],"connected":[29],"fluid":[30],"domain":[31],"that":[32,110,138],"includes":[33],"stationary":[34],"obstacles":[35,159],"variable":[37,164],"bottom":[38,165],"topography.":[39],"One":[40],"approach":[41,253],"is":[42],"formulated":[43],"terms":[45],"of":[46,67,76,85,212,223,231,268],"velocity":[49,75,102,191],"potential":[50],"while":[51],"other":[53],"evolves":[54],"vortex":[56],"sheet":[57],"strength.":[58],"Both":[59],"methods":[60,148,234],"employ":[61],"layer":[62],"potentials":[63,103],"form":[66],"periodized":[68],"Cauchy":[69],"integrals":[70],"to":[71,100,133,149,188,235,260],"compute":[72],"normal":[74],"surface,":[79],"are":[80,117,139],"compatible":[81],"arbitrary":[83],"parameterizations":[84],"boundaries,":[90],"allow":[92],"circulation":[94],"around":[95,156],"each":[96,168,236],"obstacle,":[97],"which":[98],"leads":[99],"multiple-valued":[101],"but":[104],"single-valued":[105],"stream":[106],"functions.":[107],"prove":[109],"resulting":[112],"second-kind":[113],"Fredholm":[114],"integral":[115],"invertible,":[118],"possibly":[119],"after":[120],"physically":[122],"motivated":[123],"finite-rank":[124],"correction.":[125],"In":[126,167],"an":[127],"angle-arclength":[128],"setting,":[129],"we":[130,216],"show":[131,186],"how":[132,187],"avoid":[134],"curve":[135],"reconstruction":[136],"errors":[137],"incompatible":[140],"spatial":[142],"periodicity.":[143],"use":[145],"proposed":[147],"study":[150],"gravity-capillary":[151],"waves":[152],"generated":[153],"by":[154],"several":[157,240],"elliptical":[158],"above":[160],"flat":[162],"or":[163,179],"boundary.":[166,183],"case,":[169],"eventually":[173],"self-intersects":[174],"splash":[177],"singularity":[178],"collides":[180],"also":[185],"evaluate":[189],"pressure":[193],"spectral":[195],"accuracy":[196,211],"throughout":[197],"fluid,":[199],"including":[200],"near":[201],"solid":[206],"boundaries.":[207],"To":[208],"assess":[209],"time":[214],"evolution,":[215],"monitor":[217],"energy":[218],"conservation":[219],"decay":[222],"Fourier":[224],"modes":[225],"compare":[227,248],"numerical":[229],"results":[230],"other.":[237],"implement":[239],"solvers":[241],"discretized":[244],"linear":[245],"systems":[246],"their":[249],"performance.":[250],"The":[251],"fastest":[252],"employs":[254],"graphics":[256],"processing":[257],"unit":[258],"(GPU)":[259],"construct":[261],"matrices":[263],"carry":[265],"out":[266],"iterations":[267],"generalized":[270],"minimal":[271],"residual":[272],"method":[273],"(GMRES).":[274]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}
