{"id":"https://openalex.org/W2810415938","doi":"https://doi.org/10.1007/s00211-020-01111-5","title":"An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows","display_name":"An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows","publication_year":2020,"publication_date":"2020-03-24","ids":{"openalex":"https://openalex.org/W2810415938","doi":"https://doi.org/10.1007/s00211-020-01111-5","mag":"2810415938"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-020-01111-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-020-01111-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/A5005991575","display_name":"Fran\u00e7ois Bouchut","orcid":"https://orcid.org/0000-0002-2545-1655"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Bouchut","raw_affiliation_strings":["Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, Universit\u00e9 Paris-Est, UPEM, UPEC, 77454, Marne-la-Vall\u00e9e, France","LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, Universit\u00e9 Paris-Est, UPEM, UPEC, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111387755","display_name":"Christophe Chalons","orcid":null},"institutions":[{"id":"https://openalex.org/I4387152735","display_name":"Laboratoire de Math\u00e9matiques de Versailles","ror":"https://ror.org/04k5jw363","country_code":null,"type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4387152735"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I195731000","display_name":"Universit\u00e9 de Versailles Saint-Quentin-en-Yvelines","ror":"https://ror.org/03mkjjy25","country_code":"FR","type":"education","lineage":["https://openalex.org/I195731000","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Chalons","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Versailles, UVSQ, CNRS, Universit\u00e9 Paris-Saclay, 78035, Versailles, France","LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Versailles, UVSQ, CNRS, Universit\u00e9 Paris-Saclay, 78035, Versailles, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4210155549"]},{"raw_affiliation_string":"LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I4387152735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080777049","display_name":"S\u00e9bastien Guisset","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4387152735","display_name":"Laboratoire de Math\u00e9matiques de Versailles","ror":"https://ror.org/04k5jw363","country_code":null,"type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4387152735"]},{"id":"https://openalex.org/I195731000","display_name":"Universit\u00e9 de Versailles Saint-Quentin-en-Yvelines","ror":"https://ror.org/03mkjjy25","country_code":"FR","type":"education","lineage":["https://openalex.org/I195731000","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"S\u00e9bastien Guisset","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Versailles, UVSQ, CNRS, Universit\u00e9 Paris-Saclay, 78035, Versailles, France","LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Versailles, UVSQ, CNRS, Universit\u00e9 Paris-Saclay, 78035, Versailles, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4210155549"]},{"raw_affiliation_string":"LMV - Laboratoire de Math\u00e9matiques de Versailles (B\u00e2timent Fermat  - UFR de sciences \r\n45 avenue des Etats-Unis\r\n78035 VERSAILLES - France)","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I4387152735"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080777049"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4210155549","https://openalex.org/I4387152735"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0778,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71487127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"145","issue":"1","first_page":"35","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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":0.9995999932289124,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991999864578247,"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":0.9922999739646912,"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/barotropic-fluid","display_name":"Barotropic fluid","score":0.8629328608512878},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.766372561454773},{"id":"https://openalex.org/keywords/mach-number","display_name":"Mach number","score":0.6745491623878479},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.6686309576034546},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5053649544715881},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47186774015426636},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.45140326023101807},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.44959819316864014},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44519174098968506},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4367280900478363},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42215773463249207},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.22984939813613892},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12029194831848145},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09752511978149414}],"concepts":[{"id":"https://openalex.org/C29712183","wikidata":"https://www.wikidata.org/wiki/Q739293","display_name":"Barotropic fluid","level":2,"score":0.8629328608512878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.766372561454773},{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.6745491623878479},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.6686309576034546},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5053649544715881},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47186774015426636},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.45140326023101807},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.44959819316864014},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44519174098968506},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4367280900478363},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42215773463249207},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.22984939813613892},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12029194831848145},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09752511978149414},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-020-01111-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-020-01111-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01661275v2","is_oa":false,"landing_page_url":"https://hal.science/hal-01661275","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 2020, 145, pp.35-76. &#x27E8;10.1007/s00211-020-01111-5&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W35464155","https://openalex.org/W104652564","https://openalex.org/W348217116","https://openalex.org/W1966285704","https://openalex.org/W1971524619","https://openalex.org/W1975933690","https://openalex.org/W1978844518","https://openalex.org/W1982238045","https://openalex.org/W1995214185","https://openalex.org/W1999322550","https://openalex.org/W2009546107","https://openalex.org/W2013586463","https://openalex.org/W2014836614","https://openalex.org/W2018478522","https://openalex.org/W2018936145","https://openalex.org/W2022056764","https://openalex.org/W2027557220","https://openalex.org/W2029773579","https://openalex.org/W2030366749","https://openalex.org/W2038157636","https://openalex.org/W2043057066","https://openalex.org/W2043761137","https://openalex.org/W2049326089","https://openalex.org/W2049803546","https://openalex.org/W2054346846","https://openalex.org/W2061036343","https://openalex.org/W2067207246","https://openalex.org/W2067908202","https://openalex.org/W2070906490","https://openalex.org/W2073447845","https://openalex.org/W2073809154","https://openalex.org/W2077434098","https://openalex.org/W2091507441","https://openalex.org/W2115600223","https://openalex.org/W2126324095","https://openalex.org/W2133414653","https://openalex.org/W2239446265","https://openalex.org/W2282740132","https://openalex.org/W2336994952","https://openalex.org/W2482838170","https://openalex.org/W2518937601","https://openalex.org/W2520223117","https://openalex.org/W2584243329","https://openalex.org/W2616180484","https://openalex.org/W2738394908","https://openalex.org/W2752570206","https://openalex.org/W3100306894","https://openalex.org/W3100575910"],"related_works":["https://openalex.org/W2963059605","https://openalex.org/W4387553093","https://openalex.org/W4353116137","https://openalex.org/W1990654002","https://openalex.org/W1536088348","https://openalex.org/W2067978966","https://openalex.org/W2800583016","https://openalex.org/W4246698579","https://openalex.org/W2088380080","https://openalex.org/W2046329523"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
