{"id":"https://openalex.org/W2914611102","doi":"https://doi.org/10.14529/jsfi180315","title":"A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows","display_name":"A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2914611102","doi":"https://doi.org/10.14529/jsfi180315","mag":"2914611102"},"language":"en","primary_location":{"id":"doi:10.14529/jsfi180315","is_oa":true,"landing_page_url":"https://doi.org/10.14529/jsfi180315","pdf_url":"https://superfri.org/superfri/article/download/214/289","source":{"id":"https://openalex.org/S4210177204","display_name":"Supercomputing Frontiers and Innovations","issn_l":"2313-8734","issn":["2313-8734","2409-6008"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310312680","host_organization_name":"Publishing center of the South Ural State University","host_organization_lineage":["https://openalex.org/P4310312680"],"host_organization_lineage_names":["Publishing center of the South Ural State University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Supercomputing Frontiers and Innovations","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://superfri.org/superfri/article/download/214/289","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019948669","display_name":"Nadezhda Smirnova","orcid":"https://orcid.org/0000-0001-9687-1772"},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nadezhda S. Smirnova","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051559583","display_name":"Michael Dumbser","orcid":"https://orcid.org/0000-0002-8201-8372"},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT","RU"],"is_corresponding":false,"raw_author_name":"Michael Dumbser","raw_affiliation_strings":["Moscow Institute of Physics and Technology,\r\nUniversity of Trento,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology,\r\nUniversity of Trento,","institution_ids":["https://openalex.org/I193223587","https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086153733","display_name":"Mikhail Nikolaevich Petrov","orcid":"https://orcid.org/0000-0003-2917-7312"},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Mikhail N. Petrov","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113858541","display_name":"Alexander Viktorovich Chikitkin","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander V. Chikitkin","raw_affiliation_strings":["Moscow Institute of Physics and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110255456","display_name":"Evgeniy Romenski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Evgeniy I. Romenski","raw_affiliation_strings":["Sobolev Institute of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics","institution_ids":["https://openalex.org/I4210096862"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18989642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994000196456909,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994000196456909,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9929999709129333,"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/riemann-solver","display_name":"Riemann solver","score":0.8030928373336792},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.613619863986969},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6103214621543884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.571431040763855},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.5536775588989258},{"id":"https://openalex.org/keywords/roe-solver","display_name":"Roe solver","score":0.5476025342941284},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5407580733299255},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.5328669548034668},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5285296440124512},{"id":"https://openalex.org/keywords/compressible-flow","display_name":"Compressible flow","score":0.4892091751098633},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4769909977912903},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4755901098251343},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.444252073764801},{"id":"https://openalex.org/keywords/flux","display_name":"Flux (metallurgy)","score":0.4262891709804535},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4254840016365051},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.42195838689804077},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.3795807361602783},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3307139277458191},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17054817080497742},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07140159606933594}],"concepts":[{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.8030928373336792},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.613619863986969},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6103214621543884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.571431040763855},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.5536775588989258},{"id":"https://openalex.org/C171520575","wikidata":"https://www.wikidata.org/wiki/Q7357538","display_name":"Roe solver","level":4,"score":0.5476025342941284},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5407580733299255},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.5328669548034668},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5285296440124512},{"id":"https://openalex.org/C5192115","wikidata":"https://www.wikidata.org/wiki/Q2705141","display_name":"Compressible flow","level":3,"score":0.4892091751098633},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4769909977912903},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4755901098251343},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.444252073764801},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.4262891709804535},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4254840016365051},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.42195838689804077},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.3795807361602783},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3307139277458191},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17054817080497742},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07140159606933594},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.14529/jsfi180315","is_oa":true,"landing_page_url":"https://doi.org/10.14529/jsfi180315","pdf_url":"https://superfri.org/superfri/article/download/214/289","source":{"id":"https://openalex.org/S4210177204","display_name":"Supercomputing Frontiers and Innovations","issn_l":"2313-8734","issn":["2313-8734","2409-6008"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310312680","host_organization_name":"Publishing center of the South Ural State University","host_organization_lineage":["https://openalex.org/P4310312680"],"host_organization_lineage_names":["Publishing center of the South Ural State University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Supercomputing Frontiers and Innovations","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.14529/jsfi180315","is_oa":true,"landing_page_url":"https://doi.org/10.14529/jsfi180315","pdf_url":"https://superfri.org/superfri/article/download/214/289","source":{"id":"https://openalex.org/S4210177204","display_name":"Supercomputing Frontiers and Innovations","issn_l":"2313-8734","issn":["2313-8734","2409-6008"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310312680","host_organization_name":"Publishing center of the South Ural State University","host_organization_lineage":["https://openalex.org/P4310312680"],"host_organization_lineage_names":["Publishing center of the South Ural State University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Supercomputing Frontiers and Innovations","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W569491316","https://openalex.org/W4295135832","https://openalex.org/W1980365163","https://openalex.org/W2357877681","https://openalex.org/W3209871457","https://openalex.org/W2036623811","https://openalex.org/W2074800504","https://openalex.org/W1496460218","https://openalex.org/W2030919572","https://openalex.org/W2142612945"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,79],"propose":[4],"a":[5,68],"new":[6],"flux":[7],"splitting":[8,34],"approach":[9,30],"for":[10,54],"the":[11,35,62,76,81],"symmetric":[12],"hyperbolic":[13],"thermodynamically":[14],"compatible":[15],"(SHTC)":[16],"equations":[17],"of":[18,61,75],"compressible":[19],"two-phase":[20],"flow":[21],"which":[22],"can":[23],"be":[24],"used":[25],"in":[26],"finite-volume":[27],"methods.":[28,91],"The":[29,43,58],"is":[31,47,65,86],"based":[32],"on":[33,96],"entire":[36],"model":[37],"into":[38],"acoustic":[39,45],"and":[40,107],"pseudo-convective":[41,63,77],"submodels.":[42],"associated":[44],"system":[46],"numerically":[48],"solved":[49,66],"applying":[50],"HLLC-type":[51],"Riemann":[52],"solver":[53],"its":[55],"Lagrangian":[56],"form.":[57],"convective":[59],"part":[60],"submodel":[64,78],"by":[67],"standart":[69],"upwind":[70],"scheme.":[71],"For":[72],"other":[73],"parts":[74],"apply":[80],"FORCE":[82],"method.":[83],"A":[84],"comparison":[85],"carried":[87],"out":[88],"with":[89,104],"unsplit":[90],"Numerical":[92],"results":[93],"are":[94],"obtained":[95],"several":[97],"test":[98],"problems.":[99],"Results":[100],"show":[101],"good":[102],"agreement":[103],"exact":[105],"solutions":[106],"reference":[108],"calculations.":[109]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2019-02-21T00:00:00"}