{"id":"https://openalex.org/W2282740132","doi":"https://doi.org/10.1007/s10915-015-0130-4","title":"A 5-Wave Relaxation Solver for the Shallow Water MHD System","display_name":"A 5-Wave Relaxation Solver for the Shallow Water MHD System","publication_year":2015,"publication_date":"2015-11-17","ids":{"openalex":"https://openalex.org/W2282740132","doi":"https://doi.org/10.1007/s10915-015-0130-4","mag":"2282740132"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-015-0130-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0130-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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":"government","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/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"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fran\u00e7ois Bouchut","raw_affiliation_strings":["Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France"],"raw_orcid":"https://orcid.org/0000-0002-2545-1655","affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007608061","display_name":"Xavier Lh\u00e9brard","orcid":"https://orcid.org/0000-0001-5486-1859"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","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/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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Lh\u00e9brard","raw_affiliation_strings":["Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005991575"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210144844","https://openalex.org/I4210154111"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6752,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83396235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"68","issue":"1","first_page":"92","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9977999925613403,"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":0.9977999925613403,"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":0.9921000003814697,"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":0.9670000076293945,"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/magnetohydrodynamic-drive","display_name":"Magnetohydrodynamic drive","score":0.7412070631980896},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.6636640429496765},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.6219531297683716},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6157904863357544},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.589046835899353},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.5837990045547485},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5717488527297974},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.5460512638092041},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.4865626394748688},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4561648964881897},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.45132461190223694},{"id":"https://openalex.org/keywords/tachocline","display_name":"Tachocline","score":0.4410395622253418},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.44035011529922485},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.4218732416629791},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.399442583322525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3091750741004944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22622323036193848},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.2186863124370575},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.1771489381790161},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.16348233819007874},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.14338791370391846},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0798749327659607}],"concepts":[{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.7412070631980896},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.6636640429496765},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.6219531297683716},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6157904863357544},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.589046835899353},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.5837990045547485},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5717488527297974},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.5460512638092041},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.4865626394748688},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4561648964881897},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.45132461190223694},{"id":"https://openalex.org/C133879193","wikidata":"https://www.wikidata.org/wiki/Q31767","display_name":"Tachocline","level":4,"score":0.4410395622253418},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.44035011529922485},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.4218732416629791},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.399442583322525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3091750741004944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22622323036193848},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.2186863124370575},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.1771489381790161},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.16348233819007874},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.14338791370391846},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0798749327659607},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-015-0130-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0130-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01131293v2","is_oa":false,"landing_page_url":"https://hal.science/hal-01131293","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2016, 68 (1), pp.92-115. ⟨10.1007/s10915-015-0130-4⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W17084007","https://openalex.org/W348217116","https://openalex.org/W1982236257","https://openalex.org/W1995214185","https://openalex.org/W1997690237","https://openalex.org/W2010714961","https://openalex.org/W2013586463","https://openalex.org/W2018478522","https://openalex.org/W2029773579","https://openalex.org/W2043057066","https://openalex.org/W2043761137","https://openalex.org/W2049803546","https://openalex.org/W2057879481","https://openalex.org/W2061073880","https://openalex.org/W2064811159","https://openalex.org/W2068387216","https://openalex.org/W2070906490","https://openalex.org/W2072320056","https://openalex.org/W2083341006","https://openalex.org/W2106787187","https://openalex.org/W2108513618","https://openalex.org/W2110448314","https://openalex.org/W2115600223","https://openalex.org/W2124963277","https://openalex.org/W2147617663","https://openalex.org/W2162359418","https://openalex.org/W2482838170","https://openalex.org/W3100575910"],"related_works":["https://openalex.org/W3195766120","https://openalex.org/W569491316","https://openalex.org/W3209871457","https://openalex.org/W2124094592","https://openalex.org/W2938744319","https://openalex.org/W2091030432","https://openalex.org/W2726196754","https://openalex.org/W2021554530","https://openalex.org/W1580089077","https://openalex.org/W2736044539"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}