{"id":"https://openalex.org/W7134167607","doi":"https://doi.org/10.1016/j.cnsns.2026.109891","title":"Improving the accuracy and consistency of explicit-invariant energy quadratization method for Cahn-Hiliard-Navier-Stokes equations by relaxation method","display_name":"Improving the accuracy and consistency of explicit-invariant energy quadratization method for Cahn-Hiliard-Navier-Stokes equations by relaxation method","publication_year":2026,"publication_date":"2026-03-08","ids":{"openalex":"https://openalex.org/W7134167607","doi":"https://doi.org/10.1016/j.cnsns.2026.109891"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.109891","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109891","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5004270138","display_name":"Jincheng Pu","orcid":"https://orcid.org/0000-0001-9242-3067"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jincheng Pu","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, China","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101537056","display_name":"Zijiang Luo","orcid":"https://orcid.org/0000-0002-7907-0858"},"institutions":[{"id":"https://openalex.org/I4210120302","display_name":"Shunde Polytechnic","ror":"https://ror.org/01w9d4603","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210120302"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zijiang Luo","raw_affiliation_strings":["School of Intelligent Manufacturing, Shunde Polytechnic University, Guangdong Shunde, 528300, China"],"raw_orcid":"https://orcid.org/0000-0002-7907-0858","affiliations":[{"raw_affiliation_string":"School of Intelligent Manufacturing, Shunde Polytechnic University, Guangdong Shunde, 528300, China","institution_ids":["https://openalex.org/I4210120302"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128348467","display_name":"Fulin Mei","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144662","display_name":"Xi'an Institute of Optics and Precision Mechanics","ror":"https://ror.org/0444j5556","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210144662"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fulin Mei","raw_affiliation_strings":["Xi\u2019an Institute of Applied Optics, Shaanxi, 710000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Xi\u2019an Institute of Applied Optics, Shaanxi, 710000, China","institution_ids":["https://openalex.org/I4210144662"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5128361618","display_name":"Jun Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guiyang, 550025, China"],"raw_orcid":"https://orcid.org/0000-0002-7122-6723","affiliations":[{"raw_affiliation_string":"Computational Mathematics Research Center, Guizhou University of Finance and Economics, Guiyang, 550025, China","institution_ids":["https://openalex.org/I170172562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101537056","https://openalex.org/A5128361618"],"corresponding_institution_ids":["https://openalex.org/I170172562","https://openalex.org/I4210120302"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20992289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"159","issue":null,"first_page":"109891","last_page":"109891"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.5878000259399414,"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":0.5878000259399414,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.05700000002980232,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.03779999911785126,"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/consistency","display_name":"Consistency (knowledge bases)","score":0.5971999764442444},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5674999952316284},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4896000027656555},{"id":"https://openalex.org/keywords/energy-method","display_name":"Energy method","score":0.3452000021934509}],"concepts":[{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5971999764442444},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5674999952316284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5026000142097473},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4948999881744385},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4896000027656555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3903999924659729},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.3452000021934509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3206999897956848},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.29829999804496765},{"id":"https://openalex.org/C31388003","wikidata":"https://www.wikidata.org/wiki/Q7624548","display_name":"Strong consistency","level":3,"score":0.295199990272522}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.109891","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109891","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8381326198577881,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4596838107","display_name":null,"funder_award_id":"12261017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5192398855","display_name":null,"funder_award_id":"2024ZXSY230","funder_id":"https://openalex.org/F4320324883","funder_display_name":"Guizhou University of Finance and Economics"},{"id":"https://openalex.org/G7226715824","display_name":null,"funder_award_id":"ZD[2026]004","funder_id":"https://openalex.org/F4320322272","funder_display_name":"Guizhou Science and Technology Department"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322272","display_name":"Guizhou Science and Technology Department","ror":"https://ror.org/00kwnh405"},{"id":"https://openalex.org/F4320324883","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1976156829","https://openalex.org/W1977032047","https://openalex.org/W2005521304","https://openalex.org/W2009181446","https://openalex.org/W2010502651","https://openalex.org/W2018582156","https://openalex.org/W2025043986","https://openalex.org/W2036822565","https://openalex.org/W2041001120","https://openalex.org/W2046528357","https://openalex.org/W2058585715","https://openalex.org/W2074726397","https://openalex.org/W2078273688","https://openalex.org/W2091674402","https://openalex.org/W2094116453","https://openalex.org/W2099200620","https://openalex.org/W2099834786","https://openalex.org/W2113099640","https://openalex.org/W2128612765","https://openalex.org/W2147722083","https://openalex.org/W2526298107","https://openalex.org/W2537992595","https://openalex.org/W2766149883","https://openalex.org/W2769057077","https://openalex.org/W2963167146","https://openalex.org/W2963577202","https://openalex.org/W2985293775","https://openalex.org/W3047289271","https://openalex.org/W3081346210","https://openalex.org/W3120464278","https://openalex.org/W3134167459","https://openalex.org/W3155529219","https://openalex.org/W3200319196","https://openalex.org/W4220738442","https://openalex.org/W4401360452"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2026-03-09T00:00:00"}