{"id":"https://openalex.org/W4220897524","doi":"https://doi.org/10.3390/a15040110","title":"Numerical Simulation of Micro-Bubbles Dispersion by Surface Waves","display_name":"Numerical Simulation of Micro-Bubbles Dispersion by Surface Waves","publication_year":2022,"publication_date":"2022-03-24","ids":{"openalex":"https://openalex.org/W4220897524","doi":"https://doi.org/10.3390/a15040110"},"language":"en","primary_location":{"id":"doi:10.3390/a15040110","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15040110","pdf_url":"https://www.mdpi.com/1999-4893/15/4/110/pdf?version=1648185986","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/15/4/110/pdf?version=1648185986","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072433409","display_name":"O. A. Druzhinin","orcid":"https://orcid.org/0000-0001-7599-9232"},"institutions":[{"id":"https://openalex.org/I4210161229","display_name":"Institute of Applied Physics","ror":"https://ror.org/05nnv1197","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096333","https://openalex.org/I4210161229"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Oleg A. Druzhinin","raw_affiliation_strings":["Institute of Applied Physics of the Russian Academy of Sciences, 603950 Nizhny Novgorod, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics of the Russian Academy of Sciences, 603950 Nizhny Novgorod, Russia","institution_ids":["https://openalex.org/I4210161229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029244463","display_name":"Wu\u2010ting Tsai","orcid":"https://orcid.org/0000-0002-5379-9421"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu-Ting Tsai","raw_affiliation_strings":["Department of Engineering Science and Ocean Engineering, Taiwan National University, Taipei 106, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science and Ocean Engineering, Taiwan National University, Taipei 106, Taiwan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072433409"],"corresponding_institution_ids":["https://openalex.org/I4210161229"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.9736,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73149273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"4","first_page":"110","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T11061","display_name":"Ocean Waves and Remote Sensing","score":0.9979000091552734,"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/T10647","display_name":"Coastal and Marine Dynamics","score":0.9972000122070312,"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/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.7975939512252808},{"id":"https://openalex.org/keywords/bubble","display_name":"Bubble","score":0.669294536113739},{"id":"https://openalex.org/keywords/buoyancy","display_name":"Buoyancy","score":0.6576398015022278},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.5915955901145935},{"id":"https://openalex.org/keywords/drag","display_name":"Drag","score":0.561455488204956},{"id":"https://openalex.org/keywords/free-surface","display_name":"Free surface","score":0.4725235104560852},{"id":"https://openalex.org/keywords/two-phase-flow","display_name":"Two-phase flow","score":0.4681105315685272},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.42162206768989563},{"id":"https://openalex.org/keywords/stokes-drift","display_name":"Stokes drift","score":0.41391295194625854},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.40222862362861633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38967061042785645},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3843117356300354},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3442710041999817},{"id":"https://openalex.org/keywords/surface-wave","display_name":"Surface wave","score":0.24317491054534912},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.13989973068237305}],"concepts":[{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.7975939512252808},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.669294536113739},{"id":"https://openalex.org/C538625479","wikidata":"https://www.wikidata.org/wiki/Q6497624","display_name":"Buoyancy","level":2,"score":0.6576398015022278},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.5915955901145935},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.561455488204956},{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.4725235104560852},{"id":"https://openalex.org/C144308804","wikidata":"https://www.wikidata.org/wiki/Q232997","display_name":"Two-phase flow","level":3,"score":0.4681105315685272},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.42162206768989563},{"id":"https://openalex.org/C109626945","wikidata":"https://www.wikidata.org/wiki/Q961596","display_name":"Stokes drift","level":3,"score":0.41391295194625854},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.40222862362861633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38967061042785645},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3843117356300354},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3442710041999817},{"id":"https://openalex.org/C84174578","wikidata":"https://www.wikidata.org/wiki/Q889796","display_name":"Surface wave","level":2,"score":0.24317491054534912},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.13989973068237305}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a15040110","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15040110","pdf_url":"https://www.mdpi.com/1999-4893/15/4/110/pdf?version=1648185986","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8f03a2842b36467c9164a91e37cead0c","is_oa":true,"landing_page_url":"https://doaj.org/article/8f03a2842b36467c9164a91e37cead0c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 15, Iss 4, p 110 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/15/4/110/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a15040110","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 15; Issue 4; Pages: 110","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a15040110","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15040110","pdf_url":"https://www.mdpi.com/1999-4893/15/4/110/pdf?version=1648185986","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.8199999928474426}],"awards":[{"id":"https://openalex.org/G1142677362","display_name":null,"funder_award_id":"21-55-52005","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4220897524.pdf","grobid_xml":"https://content.openalex.org/works/W4220897524.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1973133700","https://openalex.org/W1973239692","https://openalex.org/W1987852662","https://openalex.org/W1994202658","https://openalex.org/W2004340818","https://openalex.org/W2035021051","https://openalex.org/W2037351820","https://openalex.org/W2043098516","https://openalex.org/W2050701758","https://openalex.org/W2053637795","https://openalex.org/W2073582100","https://openalex.org/W2076678844","https://openalex.org/W2082723778","https://openalex.org/W2103200243","https://openalex.org/W2111162544","https://openalex.org/W2116174312","https://openalex.org/W2117751948","https://openalex.org/W2134048661","https://openalex.org/W2148177227","https://openalex.org/W2148779764","https://openalex.org/W2166457636","https://openalex.org/W2481166068","https://openalex.org/W2574577774","https://openalex.org/W2892220812","https://openalex.org/W2958910494","https://openalex.org/W3082094526","https://openalex.org/W4292414061","https://openalex.org/W6671017545","https://openalex.org/W6681750635"],"related_works":["https://openalex.org/W4200061308","https://openalex.org/W1971934041","https://openalex.org/W3094302146","https://openalex.org/W2044047808","https://openalex.org/W3114897645","https://openalex.org/W2002019397","https://openalex.org/W3212738033","https://openalex.org/W2047383426","https://openalex.org/W2391130445","https://openalex.org/W2207585292"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"algorithm":[4,30,113],"for":[5,42,137],"numerical":[6],"modeling":[7],"of":[8,16,23,61,76,116,126,156,207],"bubble":[9,130],"dispersion":[10],"occurring":[11],"in":[12,54,67,88,108],"the":[13,17,21,43,59,74,77,80,89,99,103,117,127,158,164,169,188,195,201,205,208],"near-surface":[14],"layer":[15],"upper":[18],"ocean":[19],"under":[20],"action":[22],"non-breaking":[24],"two-dimensional":[25],"(2D)":[26],"surface":[27,51,146],"waves.":[28],"The":[29,83,112,148,183],"is":[31],"based":[32],"on":[33,79],"a":[34,48,55,68],"Eulerian-Lagrangian":[35],"approach":[36],"where":[37],"full,":[38],"3D":[39],"Navier-Stokes":[40],"equations":[41],"carrier":[44,81],"flow":[45,139],"induced":[46],"by":[47,180,193],"waved":[49],"water":[50,109,171],"are":[52,64,86,110,154,174,191],"solved":[53],"Eulerian":[56],"frame,":[57,70],"and":[58,98,106,134,143,167,177,200],"trajectories":[60],"individual":[62],"bubbles":[63,78,84,104,153,189],"simultaneously":[65],"tracked":[66],"Lagrangian":[69],"taking":[71],"into":[72],"account":[73],"impact":[75,206],"flow.":[82],"diameters":[85],"considered":[87],"range":[90],"from":[91],"200":[92],"to":[93,102,163],"400":[94],"microns":[95],"(thus,":[96],"micro-bubbles),":[97],"effects":[100],"related":[101],"deformation":[105],"dissolution":[107],"neglected.":[111],"allows":[114],"evaluation":[115],"instantaneous":[118],"as":[119,121,161],"well":[120],"statistically":[122],"stationary,":[123],"phase-averaged":[124],"profiles":[125],"carrier-flow":[128,159],"turbulence,":[129,160],"concentration":[131],"(void":[132],"fraction)":[133],"void-fraction":[135],"fluxes":[136],"different":[138],"regimes,":[140],"both":[141],"with":[142],"without":[144],"wind-induced":[145],"drift.":[147],"simulations":[149],"results":[150,184],"show":[151,186],"that":[152,168,187],"capable":[155],"enhancing":[157],"compared":[162],"bubble-free":[165],"flow,":[166],"vertical":[170],"velocity":[172],"fluctuations":[173],"mostly":[175],"augmented,":[176],"increasingly":[178],"so":[179],"larger":[181],"bubbles.":[182],"also":[185],"dynamics":[190],"governed":[192],"buoyancy,":[194],"surrounding":[196],"fluid":[197],"acceleration":[198],"force":[199,203,210],"drag":[202],"whereas":[204],"lift":[209],"remains":[211],"negligible.":[212]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-04-03T00:00:00"}