{"id":"https://openalex.org/W3159123021","doi":"https://doi.org/10.1007/s10915-021-01611-y","title":"A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background","display_name":"A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background","publication_year":2021,"publication_date":"2021-08-16","ids":{"openalex":"https://openalex.org/W3159123021","doi":"https://doi.org/10.1007/s10915-021-01611-y","mag":"3159123021"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01611-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-021-01611-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-021-01611-y.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-021-01611-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035830456","display_name":"Philippe G. LeFloch","orcid":"https://orcid.org/0000-0002-9546-0784"},"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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe G. LeFloch","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions & Centre National de la Recherche Scientifique, Sorbonne Universit, 4 Place Jussieu, 75252 Paris, France","Laboratoire Jacques-Louis Lions and Centre National de la Recherche Scientifique, Sorbonne Universit\u00e9, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions & Centre National de la Recherche Scientifique, Sorbonne Universit, 4 Place Jussieu, 75252 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions and Centre National de la Recherche Scientifique, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I1294671590","https://openalex.org/I39804081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011941405","display_name":"Carlos Par\u00e9s","orcid":"https://orcid.org/0000-0002-9545-5635"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carlos Par\u00e9s","raw_affiliation_strings":["University of Malaga"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Malaga","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046132674","display_name":"Ernesto Pimentel\u2010Garc\u00eda","orcid":"https://orcid.org/0000-0002-0539-0023"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ernesto Pimentel-Garc\u00eda","raw_affiliation_strings":["University of Malaga"],"raw_orcid":"https://orcid.org/0000-0002-0539-0023","affiliations":[{"raw_affiliation_string":"University of Malaga","institution_ids":["https://openalex.org/I82767444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06250898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"89","issue":"1","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":0.9987999796867371,"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"}},"topics":[{"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/schwarzschild-radius","display_name":"Schwarzschild radius","score":0.825527548789978},{"id":"https://openalex.org/keywords/schwarzschild-metric","display_name":"Schwarzschild metric","score":0.5873383283615112},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5658421516418457},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.49999332427978516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4897470474243164},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4713922142982483},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.42581111192703247},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.41869738698005676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3853096067905426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23504596948623657},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.193771630525589},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.175368070602417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1569107472896576},{"id":"https://openalex.org/keywords/general-relativity","display_name":"General relativity","score":0.12904074788093567}],"concepts":[{"id":"https://openalex.org/C115304011","wikidata":"https://www.wikidata.org/wiki/Q72755","display_name":"Schwarzschild radius","level":3,"score":0.825527548789978},{"id":"https://openalex.org/C136125196","wikidata":"https://www.wikidata.org/wiki/Q742969","display_name":"Schwarzschild metric","level":3,"score":0.5873383283615112},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5658421516418457},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.49999332427978516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4897470474243164},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4713922142982483},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.42581111192703247},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.41869738698005676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3853096067905426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23504596948623657},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.193771630525589},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.175368070602417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1569107472896576},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.12904074788093567},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10915-021-01611-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-021-01611-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-021-01611-y.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2011.07587","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.07587","pdf_url":"https://arxiv.org/pdf/2011.07587","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3159123021","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2011.07587.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03047545v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03047545","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2021, 89 (1), pp.1-43. &#x27E8;10.1007/s10915-021-01611-y&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:riuma.uma.es:10630/24027","is_oa":true,"landing_page_url":"https://hdl.handle.net/10630/24027","pdf_url":null,"source":{"id":"https://openalex.org/S4306401385","display_name":"Repositorio Institucional de la Universidad de M\u00e1laga (University of M\u00e1laga)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82767444","host_organization_name":"Universidad de M\u00e1laga","host_organization_lineage":["https://openalex.org/I82767444"],"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":null,"raw_type":"journal article"},{"id":"doi:10.48550/arxiv.2011.07587","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2011.07587","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s10915-021-01611-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-021-01611-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-021-01611-y.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1892198991","display_name":null,"funder_award_id":"UMA18-Federja-161","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G4178688844","display_name":null,"funder_award_id":"P18-RT-3163","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G5071950566","display_name":null,"funder_award_id":"RTI2018-096064-B-C21","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6298273575","display_name":null,"funder_award_id":"RTI2018","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320311265","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28"},{"id":"https://openalex.org/F4320319918","display_name":"York University","ror":"https://ror.org/05fq50484"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3159123021.pdf","grobid_xml":"https://content.openalex.org/works/W3159123021.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W101715435","https://openalex.org/W348217116","https://openalex.org/W655106915","https://openalex.org/W1948835267","https://openalex.org/W1969647398","https://openalex.org/W2001231809","https://openalex.org/W2003154163","https://openalex.org/W2031171101","https://openalex.org/W2048475936","https://openalex.org/W2065852546","https://openalex.org/W2067678280","https://openalex.org/W2080202186","https://openalex.org/W2162359418","https://openalex.org/W2396294620","https://openalex.org/W2462588535","https://openalex.org/W2482838170","https://openalex.org/W2893852734","https://openalex.org/W2915824268","https://openalex.org/W2962882239","https://openalex.org/W2964311694","https://openalex.org/W3003085943","https://openalex.org/W3005811768","https://openalex.org/W3103746622","https://openalex.org/W3112619843","https://openalex.org/W4253423130"],"related_works":["https://openalex.org/W3196204921","https://openalex.org/W3104017563","https://openalex.org/W2564426812","https://openalex.org/W2949590169","https://openalex.org/W2286505197","https://openalex.org/W2805999599","https://openalex.org/W2783166611","https://openalex.org/W3098073239","https://openalex.org/W3103037592","https://openalex.org/W2055234790","https://openalex.org/W3129850160","https://openalex.org/W3192388623","https://openalex.org/W2784286873","https://openalex.org/W2963637304","https://openalex.org/W2019221936","https://openalex.org/W2072642665","https://openalex.org/W2928201413","https://openalex.org/W3101908548","https://openalex.org/W1992502735","https://openalex.org/W3125543915"],"abstract_inverted_index":{"Abstract":[0],"For":[1],"the":[2,31,36,44,51,60,66,75,84,88,95],"evolution":[3],"of":[4,20,43,54,79,87,94],"a":[5,12,18],"compressible":[6],"fluid":[7],"in":[8],"spherical":[9],"symmetry":[10],"on":[11],"Schwarzschild":[13],"curved":[14],"background,":[15],"we":[16],"design":[17],"class":[19],"well-balanced":[21],"numerical":[22],"algorithms":[23],"up":[24],"to":[25,73],"third-order":[26],"accuracy.":[27],"We":[28],"treat":[29],"both":[30],"relativistic":[32,37],"Burgers\u2013Schwarzschild":[33],"model":[34,39],"and":[35,40,64,82,91],"Euler\u2013Schwarzschild":[38],"take":[41],"advantage":[42],"explicit":[45],"or":[46],"implicit":[47],"forms":[48],"available":[49],"for":[50],"stationary":[52,67],"solutions":[53],"these":[55],"models.":[56],"Our":[57],"schemes":[58],"follow":[59],"finite":[61],"volume":[62],"methodology":[63],"preserve":[65],"solutions.":[68],"Importantly,":[69],"they":[70],"allow":[71],"us":[72],"investigate":[74],"global":[76],"asymptotic":[77,85],"behavior":[78,86],"such":[80],"flows":[81],"determine":[83],"mass":[89],"density":[90],"velocity":[92],"field":[93],"fluid.":[96]},"counts_by_year":[],"updated_date":"2026-07-10T07:45:09.275182","created_date":"2025-10-10T00:00:00"}
