{"id":"https://openalex.org/W4417258486","doi":"https://doi.org/10.1016/j.jcp.2025.114558","title":"A simple, fully-discrete, unconditionally energy-stable method for the two-phase Navier-Stokes Cahn-Hilliard model with arbitrary density ratios","display_name":"A simple, fully-discrete, unconditionally energy-stable method for the two-phase Navier-Stokes Cahn-Hilliard model with arbitrary density ratios","publication_year":2025,"publication_date":"2025-12-12","ids":{"openalex":"https://openalex.org/W4417258486","doi":"https://doi.org/10.1016/j.jcp.2025.114558"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2025.114558","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2025.114558","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jcp.2025.114558","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041128387","display_name":"Aaron Brunk","orcid":"https://orcid.org/0000-0003-4987-2398"},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"A. Brunk","raw_affiliation_strings":["Institute of Mathematics, Johannes Gutenberg-University, Mainz, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4987-2398","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Johannes Gutenberg-University, Mainz, Germany","institution_ids":["https://openalex.org/I197323543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077654221","display_name":"Marco F. P. ten Eikelder","orcid":"https://orcid.org/0000-0002-1153-146X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M.F.P. ten Eikelder","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1153-146X","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041128387"],"corresponding_institution_ids":["https://openalex.org/I197323543"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":{"value":3750,"currency":"USD","value_usd":3750},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25470354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"548","issue":null,"first_page":"114558","last_page":"114558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.7842000126838684,"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"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.7842000126838684,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.032099999487400055,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.01769999973475933,"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/probability-density-function","display_name":"Probability density function","score":0.2768000066280365},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.27230000495910645},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.26669999957084656},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.24220000207424164}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5055999755859375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4993000030517578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42570000886917114},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3952000141143799},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.30649998784065247},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24459999799728394},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.24220000207424164}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jcp.2025.114558","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2025.114558","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.jcp.2025.114558","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2025.114558","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1992653553","display_name":"Variationsmethoden f\u00fcr die quantitative PhasenfeldModellierung und Simulation von pulverbasierten additiven Fertigungsverfahren","funder_award_id":"441153493","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3942947494","display_name":"TRR 146: MultiskalenSimulationsmethoden f\u00fcr Systeme der weichen Materie","funder_award_id":"233630050","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G546635654","display_name":null,"funder_award_id":"SPP2256","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322301","display_name":"Johannes Gutenberg-Universit\u00e4t Mainz","ror":"https://ror.org/023b0x485"},{"id":"https://openalex.org/F4320322907","display_name":"Gutenberg Forschungskolleg","ror":"https://ror.org/023b0x485"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1964885918","https://openalex.org/W1967070136","https://openalex.org/W1980471618","https://openalex.org/W1983445511","https://openalex.org/W1993288036","https://openalex.org/W2010502651","https://openalex.org/W2015373964","https://openalex.org/W2029966914","https://openalex.org/W2036822565","https://openalex.org/W2039254108","https://openalex.org/W2046726503","https://openalex.org/W2066359652","https://openalex.org/W2074726397","https://openalex.org/W2077488436","https://openalex.org/W2079396461","https://openalex.org/W2085347462","https://openalex.org/W2098303237","https://openalex.org/W2104152474","https://openalex.org/W2113099640","https://openalex.org/W2115972520","https://openalex.org/W2128204029","https://openalex.org/W2130457461","https://openalex.org/W2143061491","https://openalex.org/W2147722083","https://openalex.org/W2150131273","https://openalex.org/W2157827508","https://openalex.org/W2161271090","https://openalex.org/W2206898513","https://openalex.org/W2290873873","https://openalex.org/W2741900735","https://openalex.org/W2745212738","https://openalex.org/W2768134221","https://openalex.org/W2779224839","https://openalex.org/W2787186442","https://openalex.org/W2809623188","https://openalex.org/W2963167146","https://openalex.org/W2963768558","https://openalex.org/W2963781498","https://openalex.org/W2964136941","https://openalex.org/W2992498009","https://openalex.org/W2996513216","https://openalex.org/W3138407937","https://openalex.org/W3141695777","https://openalex.org/W3177632711","https://openalex.org/W4313523822","https://openalex.org/W4321018474","https://openalex.org/W4327953219","https://openalex.org/W4382242492","https://openalex.org/W4386708191","https://openalex.org/W4399246196","https://openalex.org/W4400366315","https://openalex.org/W4401516842","https://openalex.org/W4402486912","https://openalex.org/W4402721277","https://openalex.org/W4411462029"],"related_works":[],"abstract_inverted_index":{"The":[0,91],"two-phase":[1],"Navier-Stokes":[2],"Cahn-Hilliard":[3],"(NSCH)":[4],"mixture":[5,70],"model":[6,25,71],"is":[7,88,93,121],"a":[8,61],"key":[9,131],"framework":[10],"for":[11,23,67,126],"simulating":[12],"multiphase":[13],"flows":[14],"with":[15,75],"non-matching":[16],"densities.":[17,35],"Developing":[18],"fully":[19,63],"discrete,":[20,64],"energy-stable":[21,65],"schemes":[22],"this":[24],"remains":[26,55],"challenging,":[27],"due":[28],"to":[29,77],"the":[30,53,68,78,82,85,118,134],"possible":[31],"presence":[32],"of":[33,52,136],"negative":[34],"While":[36],"various":[37],"methods":[38],"have":[39],"been":[40],"proposed,":[41],"ensuring":[42],"provable":[43],"energy":[44,79,87],"stability":[45,74],"under":[46],"phase-field":[47],"modifications,":[48],"like":[49],"positive":[50],"extensions":[51],"density,":[54],"an":[56,96],"open":[57],"problem.":[58],"We":[59],"propose":[60],"simple,":[62],"method":[66,92],"NSCH":[69,137],"that":[72,117],"ensures":[73],"respect":[76],"functional,":[80],"where":[81],"density":[83,128],"in":[84,133],"kinetic":[86],"positively":[89],"extended.":[90],"based":[94],"on":[95],"alternative":[97],"but":[98],"equivalent":[99],"formulation":[100],"using":[101],"mass-averaged":[102],"velocity":[103],"and":[104,124],"volume-fraction-based":[105],"order":[106],"parameters,":[107],"simplifying":[108],"implementation":[109],"while":[110],"preserving":[111],"theoretical":[112],"consistency.":[113],"Numerical":[114],"results":[115],"demonstrate":[116],"proposed":[119],"scheme":[120],"robust,":[122],"accurate,":[123],"stable":[125],"large":[127],"ratios,":[129],"addressing":[130],"challenges":[132],"discretization":[135],"models.":[138]},"counts_by_year":[],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-12-12T00:00:00"}