{"id":"https://openalex.org/W7206174247","doi":"https://doi.org/10.48550/arxiv.2609.00535","title":"Spectral element lattice Boltzmann method for non-ideal gases with partial wetting boundary condition","display_name":"Spectral element lattice Boltzmann method for non-ideal gases with partial wetting boundary condition","publication_year":2026,"publication_date":"2026-09-01","ids":{"openalex":"https://openalex.org/W7206174247","doi":"https://doi.org/10.48550/arxiv.2609.00535"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.00535","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00535","pdf_url":"https://arxiv.org/pdf/2609.00535","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.00535","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082111940","display_name":"Chunheng Zhao","orcid":"https://orcid.org/0000-0002-8894-9418","observed_orcids":["https://orcid.org/0000-0002-8894-9418"]},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhao, Chunheng","raw_affiliation_strings":["Department of Mechanical Engineering , City College of New York"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , City College of New York","institution_ids":["https://openalex.org/I125687163"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5149314124","display_name":"Saumil Patel","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Patel, Saumil","raw_affiliation_strings":["Computational Science Division , Argonne National Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Science Division , Argonne National Laboratory","institution_ids":["https://openalex.org/I1282105669"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5149399284","display_name":"Taehun Lee","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lee, Taehun","raw_affiliation_strings":["Department of Mechanical Engineering , City College of New York"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering , City College of New York","institution_ids":["https://openalex.org/I125687163"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9994999766349792,"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":0.9994999766349792,"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.0,"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/partial-wetting","display_name":"partial wetting","score":0.8529999852180481},{"id":"https://openalex.org/keywords/non-ideal-gas","display_name":"non-ideal gas","score":0.8320000171661377},{"id":"https://openalex.org/keywords/phase-field-model","display_name":"phase-field model","score":0.9409999847412109},{"id":"https://openalex.org/keywords/phase-separation","display_name":"phase separation","score":0.753000020980835},{"id":"https://openalex.org/keywords/surface-tension","display_name":"surface tension","score":0.6100000143051147},{"id":"https://openalex.org/keywords/curved-surfaces","display_name":"curved surfaces","score":0.5789999961853027},{"id":"https://openalex.org/keywords/liquid-droplets","display_name":"droplets","score":0.6850000023841858},{"id":"https://openalex.org/keywords/parasitic-currents","display_name":"parasitic currents","score":0.9470000267028809},{"id":"https://openalex.org/keywords/unstructured-meshes","display_name":"unstructured grid","score":0.9259999990463257}],"concepts":[{"id":"https://openalex.org/C134514944","wikidata":"https://www.wikidata.org/wiki/Q817136","display_name":"Wetting","level":2,"score":0.7584999799728394},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.7505999803543091},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6561999917030334},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6083999872207642},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.5809000134468079},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.47760000824928284},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.4334999918937683},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3736000061035156},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3555999994277954},{"id":"https://openalex.org/C195268267","wikidata":"https://www.wikidata.org/wiki/Q1928883","display_name":"Slip (aerodynamics)","level":2,"score":0.3476000130176544},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.34130001068115234},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3409999907016754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3312999904155731},{"id":"https://openalex.org/C157107126","wikidata":"https://www.wikidata.org/wiki/Q7990179","display_name":"Wetting transition","level":3,"score":0.32519999146461487},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3215000033378601},{"id":"https://openalex.org/C195839","wikidata":"https://www.wikidata.org/wiki/Q901959","display_name":"Surface energy","level":2,"score":0.3190000057220459},{"id":"https://openalex.org/C9358284","wikidata":"https://www.wikidata.org/wiki/Q1759756","display_name":"Body force","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.29980000853538513},{"id":"https://openalex.org/C16304620","wikidata":"https://www.wikidata.org/wiki/Q1396948","display_name":"No-slip condition","level":4,"score":0.29899999499320984},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2964000105857849},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.2937999963760376},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.289000004529953},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2840000092983246},{"id":"https://openalex.org/C188324986","wikidata":"https://www.wikidata.org/wiki/Q7180938","display_name":"Phase boundary","level":3,"score":0.2732999920845032},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27250000834465027},{"id":"https://openalex.org/C6556556","wikidata":"https://www.wikidata.org/wiki/Q899239","display_name":"Contact angle","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C2779736610","wikidata":"https://www.wikidata.org/wiki/Q6884140","display_name":"Mixture theory","level":3,"score":0.2662000060081482},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2574000060558319},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.25450000166893005},{"id":"https://openalex.org/C81288441","wikidata":"https://www.wikidata.org/wiki/Q20736125","display_name":"Ultrasonic sensor","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.00535","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00535","pdf_url":"https://arxiv.org/pdf/2609.00535","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.00535","doi":"https://doi.org/10.48550/arxiv.2609.00535","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.00535","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.00535","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.00535","pdf_url":"https://arxiv.org/pdf/2609.00535","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7206174247.pdf","grobid_xml":"https://content.openalex.org/works/W7206174247.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3087871634","https://openalex.org/W4408853805","https://openalex.org/W7137244914","https://openalex.org/W4395675952","https://openalex.org/W2010624431","https://openalex.org/W4376607549","https://openalex.org/W4410864874","https://openalex.org/W4389325833","https://openalex.org/W4404376323","https://openalex.org/W4416937958"],"abstract_inverted_index":{"We":[0,45],"present":[1],"a":[2,31,62,76,89],"spectral":[3],"element":[4],"lattice":[5],"Boltzmann":[6],"method":[7,94],"(LBM)":[8],"for":[9,136,141],"partial":[10],"wetting":[11,78,137],"on":[12,101,120,131],"curved":[13,105],"geometries.":[14],"A":[15],"non-ideal":[16],"gas":[17],"phase-field":[18],"model":[19],"is":[20,43,81,95],"incorporated":[21],"into":[22],"the":[23,36,47,132],"LBM":[24],"framework":[25],"to":[26,83],"enable":[27],"phase":[28],"separation":[29],"with":[30,123],"constant":[32],"interface":[33],"thickness":[34],"and":[35,54,107,139],"potential":[37],"form":[38],"of":[39,99,134],"surface":[40],"tension":[41],"force":[42],"used.":[44],"adopt":[46],"force-splitting":[48],"approach,":[49],"yielding":[50],"significantly":[51,118],"improved":[52],"stability":[53],"accuracy.":[55],"Complex":[56],"boundaries":[57],"are":[58,117],"naturally":[59],"handled":[60],"using":[61],"flux":[63],"bounce-back":[64],"scheme,":[65],"which":[66],"resolves":[67],"inconsistencies":[68],"in":[69,88],"normal":[70],"vectors":[71],"across":[72],"adjacent":[73],"elements.":[74],"Additionally,":[75],"general":[77],"boundary":[79],"condition":[80],"implemented":[82],"capture":[84],"static":[85],"contact":[86],"line":[87],"thermodynamically":[90],"consistent":[91],"manner.":[92],"The":[93],"validated":[96],"through":[97],"simulations":[98],"droplets":[100,109],"flat":[102],"surfaces,":[103,106],"2/3-dimensional":[104],"equilibrium":[108],"without":[110],"boundaries.":[111],"Results":[112],"demonstrate":[113],"that":[114],"parasitic":[115],"currents":[116],"reduced":[119],"unstructured":[121],"meshes":[122],"complex":[124],"geometries,":[125],"reaching":[126],"residual":[127],"kinetic":[128],"energy":[129],"levels":[130],"order":[133],"$10^{-24}$":[135],"configurations":[138],"$10^{-30}$":[140],"isolated":[142],"droplets.":[143]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-03T00:00:00"}