{"id":"https://openalex.org/W4293230911","doi":"https://doi.org/10.3390/e24081159","title":"Linear Full Decoupling, Velocity Correction Method for Unsteady Thermally Coupled Incompressible Magneto-Hydrodynamic Equations","display_name":"Linear Full Decoupling, Velocity Correction Method for Unsteady Thermally Coupled Incompressible Magneto-Hydrodynamic Equations","publication_year":2022,"publication_date":"2022-08-19","ids":{"openalex":"https://openalex.org/W4293230911","doi":"https://doi.org/10.3390/e24081159","pmid":"https://pubmed.ncbi.nlm.nih.gov/36010823"},"language":"en","primary_location":{"id":"doi:10.3390/e24081159","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24081159","pdf_url":"https://www.mdpi.com/1099-4300/24/8/1159/pdf?version=1661329691","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/24/8/1159/pdf?version=1661329691","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100442953","display_name":"Zhe Zhang","orcid":"https://orcid.org/0000-0001-8924-4025"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Zhang","raw_affiliation_strings":["College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103191241","display_name":"Haiyan Su","orcid":"https://orcid.org/0000-0002-0780-3258"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haiyan Su","raw_affiliation_strings":["College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028639093","display_name":"Xinlong Feng","orcid":"https://orcid.org/0000-0002-5354-6424"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinlong Feng","raw_affiliation_strings":["College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103191241"],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.2797,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.42439926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"8","first_page":"1159","last_page":"1159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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":0.9987999796867371,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.8237127661705017},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7441172003746033},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5370240807533264},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4760187268257141},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4697117209434509},{"id":"https://openalex.org/keywords/magneto","display_name":"Magneto","score":0.4679485857486725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37350040674209595},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3329944610595703},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.16345065832138062},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06530320644378662}],"concepts":[{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.8237127661705017},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7441172003746033},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5370240807533264},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4760187268257141},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4697117209434509},{"id":"https://openalex.org/C171636128","wikidata":"https://www.wikidata.org/wiki/Q1307177","display_name":"Magneto","level":3,"score":0.4679485857486725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37350040674209595},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3329944610595703},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.16345065832138062},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06530320644378662},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e24081159","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24081159","pdf_url":"https://www.mdpi.com/1099-4300/24/8/1159/pdf?version=1661329691","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmid:36010823","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36010823","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,"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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:b630beb9fdd8429a9816cf65ba89f2b4","is_oa":true,"landing_page_url":"https://doaj.org/article/b630beb9fdd8429a9816cf65ba89f2b4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 24, Iss 8, p 1159 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/24/8/1159/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e24081159","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":"Entropy; Volume 24; Issue 8; Pages: 1159","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9407173","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9407173","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e24081159","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24081159","pdf_url":"https://www.mdpi.com/1099-4300/24/8/1159/pdf?version=1661329691","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.9100000262260437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4443476256","display_name":null,"funder_award_id":"12126361","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6729461843","display_name":"\u5927\u5bc6\u5ea6\u6bd4\u4e24\u76f8\u4e0d\u53ef\u538b\u78c1\u6d41\u4f53\u52a8\u529b\u5b66\u6269\u6563\u754c\u9762\u6a21\u578b\u53ca\u5176\u9ad8\u6548\u7b97\u6cd5\u7814\u7a76","funder_award_id":"12061076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8045602365","display_name":null,"funder_award_id":"11701493","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4293230911.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W638755902","https://openalex.org/W1667897896","https://openalex.org/W1977919872","https://openalex.org/W2007714752","https://openalex.org/W2031454867","https://openalex.org/W2044855736","https://openalex.org/W2047430733","https://openalex.org/W2047859546","https://openalex.org/W2048752469","https://openalex.org/W2076077791","https://openalex.org/W2078857037","https://openalex.org/W2094009683","https://openalex.org/W2097830129","https://openalex.org/W2099200620","https://openalex.org/W2110634732","https://openalex.org/W2117657872","https://openalex.org/W2118922968","https://openalex.org/W2156946226","https://openalex.org/W2157345583","https://openalex.org/W2594247582","https://openalex.org/W2765295126","https://openalex.org/W2784697662","https://openalex.org/W2970105038","https://openalex.org/W2992565422","https://openalex.org/W3013444995","https://openalex.org/W3043688784","https://openalex.org/W3100685644","https://openalex.org/W3113788635","https://openalex.org/W4280622867","https://openalex.org/W6644761739","https://openalex.org/W6661577836","https://openalex.org/W6662436231","https://openalex.org/W6670227052","https://openalex.org/W6785478818","https://openalex.org/W6838539084"],"related_works":["https://openalex.org/W2152950565","https://openalex.org/W1617565119","https://openalex.org/W160381218","https://openalex.org/W2012983134","https://openalex.org/W2512958550","https://openalex.org/W2329266651","https://openalex.org/W3103825105","https://openalex.org/W2004102934","https://openalex.org/W4388599312","https://openalex.org/W4366455350"],"abstract_inverted_index":{"We":[0],"propose":[1],"and":[2,34,54,123],"analyze":[3],"an":[4],"effective":[5],"decoupling":[6],"algorithm":[7,79,95,141,169],"for":[8,86],"unsteady":[9],"thermally":[10,175],"coupled":[11,176],"magneto-hydrodynamic":[12,177],"equations":[13,65],"in":[14,27,44],"this":[15],"paper.":[16],"The":[17,128],"proposed":[18],"method":[19],"is":[20,142,170],"a":[21,59,125,149],"first-order":[22],"velocity":[23,32,36,77,93,139,166],"correction":[24,33,78,94,140,167],"projection":[25,168],"algorithms":[26,122],"time":[28,71],"marching,":[29],"including":[30],"standard":[31,76],"rotation":[35,138,146,165],"correction,":[37],"which":[38,101],"can":[39,80,96],"completely":[40],"decouple":[41],"all":[42],"variables":[43],"the":[45,48,75,82,87,91,98,103,106,117,121,133,137,145,156,164,174],"model.":[46],"Meanwhile,":[47],"schemes":[49],"are":[50],"not":[51],"only":[52,55],"linear":[53,62],"need":[56],"to":[57,131,143,172],"solve":[58,173],"series":[60],"of":[61,105,120,136,155],"partial":[63],"differential":[64],"with":[66],"constant":[67],"coefficients":[68],"at":[69],"each":[70],"step,":[72],"but":[73,90],"also":[74],"produce":[81,97],"Neumann":[83],"boundary":[84,100],"condition":[85],"pressure":[88,107],"field,":[89],"rotational":[92],"consistent":[99],"improve":[102],"accuracy":[104],"field.":[108],"Thus,":[109],"improving":[110],"our":[111],"computational":[112],"efficiency.":[113],"Then,":[114],"we":[115],"give":[116,124],"energy":[118],"stability":[119,134],"detailed":[126],"proofs.":[127],"key":[129],"idea":[130],"establish":[132],"results":[135],"transform":[144],"term":[147],"into":[148],"telescopic":[150],"symmetric":[151],"form":[152],"by":[153],"means":[154],"Gauge-Uzawa":[157],"formula.":[158],"Finally,":[159],"numerical":[160],"experiments":[161],"show":[162],"that":[163],"efficient":[171],"equations.":[178]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}