{"id":"https://openalex.org/W3002275615","doi":"https://doi.org/10.1103/physreve.100.063308","title":"High-order least-square-based finite-difference\u2013finite-volume method for simulation of incompressible thermal flows on arbitrary grids","display_name":"High-order least-square-based finite-difference\u2013finite-volume method for simulation of incompressible thermal flows on arbitrary grids","publication_year":2019,"publication_date":"2019-12-20","ids":{"openalex":"https://openalex.org/W3002275615","doi":"https://doi.org/10.1103/physreve.100.063308","mag":"3002275615","pmid":"https://pubmed.ncbi.nlm.nih.gov/31962409"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.100.063308","doi":"https://doi.org/10.1103/physreve.100.063308","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.100.063308","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109332679","display_name":"YY Liu","orcid":"https://orcid.org/0000-0003-1272-1756","observed_orcids":["https://orcid.org/0000-0003-1272-1756"]},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Y. Y. Liu","raw_affiliation_strings":["Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260"],"raw_orcid":"https://orcid.org/0000-0003-1272-1756","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":null,"display_name":"H. W. Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"H. W. Zhang","raw_affiliation_strings":["Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":null,"display_name":"L. M. Yang","orcid":"https://orcid.org/0000-0001-7961-4854","observed_orcids":["https://orcid.org/0000-0001-7961-4854"]},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"L. M. Yang","raw_affiliation_strings":["Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260"],"raw_orcid":"https://orcid.org/0000-0001-7961-4854","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100347295","display_name":"Chang Shu","orcid":"https://orcid.org/0000-0003-0825-0883","observed_orcids":["https://orcid.org/0000-0003-0825-0883","https://orcid.org/0009-0007-7272-7072"]},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"C. Shu","raw_affiliation_strings":["Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":1.8771,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84216105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"100","issue":"6","first_page":"063308","last_page":"063308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.6470000147819519,"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"}},"topics":[{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.6470000147819519,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.21310000121593475,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.09560000151395798,"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/arbitrary-grids","display_name":"arbitrary grids","score":0.824999988079071},{"id":"https://openalex.org/keywords/curved-boundaries","display_name":"curved boundaries","score":0.6000000238418579},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"heat transfer","score":0.6800000071525574}],"concepts":[{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.8027745485305786},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.6498073935508728},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5718829035758972},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4779203534126282},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.46991172432899475},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.45874011516571045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43288522958755493},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4297153949737549},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.411191463470459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36056822538375854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3520338535308838},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34188610315322876},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3378925323486328},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32564598321914673},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19579371809959412},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.14139297604560852}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physreve.100.063308","doi":"https://doi.org/10.1103/physreve.100.063308","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.100.063308","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:31962409","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31962409","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. E","raw_type":"Journal Article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/163566","doi":null,"is_oa":false,"landing_page_url":"https://scholarbank.nus.edu.sg/handle/10635/163566","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Elements","raw_type":"Article"},{"id":"mag:3002275615","doi":null,"is_oa":false,"landing_page_url":"https://scholarbank.nus.edu.sg/handle/10635/163566","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Elements","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W56087484","https://openalex.org/W98132834","https://openalex.org/W1489767088","https://openalex.org/W1970565320","https://openalex.org/W1978300980","https://openalex.org/W1991307918","https://openalex.org/W2013347430","https://openalex.org/W2014436194","https://openalex.org/W2016666819","https://openalex.org/W2021893731","https://openalex.org/W2032908958","https://openalex.org/W2041108136","https://openalex.org/W2043049086","https://openalex.org/W2043403332","https://openalex.org/W2045979901","https://openalex.org/W2057900840","https://openalex.org/W2068409041","https://openalex.org/W2075500398","https://openalex.org/W2075559111","https://openalex.org/W2087700647","https://openalex.org/W2091456785","https://openalex.org/W2143793574","https://openalex.org/W2148608697","https://openalex.org/W2154775388","https://openalex.org/W2155313021","https://openalex.org/W2159415284","https://openalex.org/W2161560170","https://openalex.org/W2162212641","https://openalex.org/W2169877255","https://openalex.org/W2185343607","https://openalex.org/W2307643435","https://openalex.org/W2471034079","https://openalex.org/W2536889473","https://openalex.org/W2555403699","https://openalex.org/W2609090150","https://openalex.org/W2783667457","https://openalex.org/W2784140324","https://openalex.org/W2884925179","https://openalex.org/W2912205040","https://openalex.org/W2981581141"],"related_works":["https://openalex.org/W2981581141","https://openalex.org/W4391536772","https://openalex.org/W7160277986","https://openalex.org/W4294786504","https://openalex.org/W3157768273","https://openalex.org/W2045979901","https://openalex.org/W4205097623","https://openalex.org/W3043442650","https://openalex.org/W3111247839","https://openalex.org/W2884925179"],"abstract_inverted_index":{"In":[0,33],"this":[1],"work,":[2],"a":[3,37],"high-order":[4],"(HO)":[5],"least-square-based":[6,63],"finite":[7,64,147],"difference-finite":[8],"volume":[9,148],"(LSFD-FV)":[10],"method":[11,107,124,160],"together":[12],"with":[13,136,143],"thermal":[14,28,91,133,165],"lattice":[15,92],"Boltzmann":[16,93],"flux":[17],"solver":[18],"(TLBFS)":[19],"is":[20,45,73,108],"presented":[21],"for":[22,163],"simulation":[23],"of":[24,90,95],"two-dimensional":[25],"(2D)":[26],"incompressible":[27,114],"flows":[29],"on":[30,41,139],"arbitrary":[31,140],"grids.":[32,141],"the":[34,52,69,77,84,96,122,144,157],"present":[35,104,123,158],"method,":[36,149],"HO":[38,105,159],"polynomial":[39],"based":[40],"Taylor":[42],"series":[43],"expansion":[44],"applied":[46,74,130],"within":[47],"each":[48,57],"control":[49],"cell,":[50],"where":[51],"unknown":[53],"spatial":[54],"derivatives":[55],"at":[56,83],"cell":[58,85],"center":[59],"are":[60],"approximated":[61],"by":[62,87,112],"difference":[65],"(LSFD)":[66],"scheme.":[67],"Then":[68],"recently":[70],"developed":[71],"TLBFS":[72],"to":[75,131],"evaluate":[76],"convective":[78],"and":[79,98,110,128,152],"diffusive":[80],"fluxes":[81],"simultaneously":[82],"interface":[86],"local":[88],"reconstruction":[89],"solutions":[94],"density":[97],"internal":[99],"energy":[100],"distribution":[101],"functions.":[102],"The":[103],"LSFD-FV":[106],"verified":[109],"validated":[111],"2D":[113],"heat":[115],"transfer":[116],"problems.":[117,167],"Numerical":[118],"results":[119],"indicate":[120],"that":[121],"can":[125],"be":[126],"effectively":[127],"flexibly":[129],"solve":[132],"flow":[134,166],"problems":[135],"curved":[137],"boundaries":[138],"Compared":[142],"conventional":[145],"low-order":[146],"higher":[150],"efficiency":[151],"lower":[153],"memory":[154],"cost":[155],"make":[156],"more":[161],"promising":[162],"practical":[164]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2020-01-30T00:00:00"}