{"id":"https://openalex.org/W7117313136","doi":"https://doi.org/10.48550/arxiv.2512.21306","title":"FORCE-$\u03b1$ Numerical Fluxes within the Arbitrary High Order Semidiscrete WENO-DeC Framework: A Competitive Alternative to Upwind Fluxes","display_name":"FORCE-$\u03b1$ Numerical Fluxes within the Arbitrary High Order Semidiscrete WENO-DeC Framework: A Competitive Alternative to Upwind Fluxes","publication_year":2025,"publication_date":"2025-12-24","ids":{"openalex":"https://openalex.org/W7117313136","doi":"https://doi.org/10.48550/arxiv.2512.21306"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2512.21306","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.21306","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2512.21306","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081673304","display_name":"Lorenzo Micalizzi","orcid":"https://orcid.org/0000-0002-7161-8647"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Micalizzi, Lorenzo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030446403","display_name":"Eleuterio F. Toro","orcid":"https://orcid.org/0000-0002-9347-7574"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Toro, Eleuterio","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081673304"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.8690999746322632,"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":0.8690999746322632,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.06840000301599503,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.008299999870359898,"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/upwind-scheme","display_name":"Upwind scheme","score":0.7371000051498413},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.6031000018119812},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5052000284194946},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.4690000116825104},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4519999921321869},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4426000118255615},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4169999957084656},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.38199999928474426}],"concepts":[{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.7371000051498413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7366999983787537},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.6031000018119812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5175999999046326},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5052000284194946},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.4690000116825104},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4519999921321869},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4426000118255615},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4169999957084656},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.38199999928474426},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.376800000667572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37310001254081726},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.33309999108314514},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3278000056743622},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.3244999945163727},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.3077999949455261},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.2892000079154968},{"id":"https://openalex.org/C171520575","wikidata":"https://www.wikidata.org/wiki/Q7357538","display_name":"Roe solver","level":4,"score":0.28299999237060547}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2512.21306","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.21306","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2512.21306","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.21306","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.6657226085662842}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"work":[1],"systematically":[2],"investigates":[3],"the":[4,75,90,93,111,118,171,178,185,188,204,219,234],"performance":[5],"of":[6,40,49,57,92,108,110,120,180,197,206,221],"FORCE--$\u03b1$":[7,207],"numerical":[8,27,61,80,101,113,193,208],"fluxes":[9,28,51,102,209],"within":[10,210],"an":[11],"arbitrary":[12],"high":[13,106],"order":[14,166,179],"semidiscrete":[15,145],"finite":[16],"volume":[17],"(FV)":[18],"framework":[19,137,173,213],"for":[20,115,124,230],"hyperbolic":[21,122,227],"partial":[22],"differential":[23],"equations":[24,237],"(PDEs).":[25],"Such":[26],"have":[29,174],"been":[30],"recently":[31],"introduced":[32],"by":[33],"Toro,":[34],"Saggiorato,":[35],"Tokareva,":[36],"and":[37,45,154,160,240],"Hidalgo":[38],"(Journal":[39],"Computational":[41],"Physics,":[42],"416,":[43],"2020),":[44],"constitute":[46],"a":[47,54,105,143,212,215],"family":[48],"centred":[50,82,100],"obtained":[52,190],"from":[53],"suitable":[55],"modification":[56],"First--Order":[58],"Centred":[59],"(FORCE)":[60],"fluxes.":[62,194,225],"In":[63],"contrast":[64],"with":[65,147],"upwind":[66,224],"fluxes,":[67],"such":[68,211],"as":[69],"Rusanov,":[70],"Harten--Lax--van":[71],"Leer":[72],"(HLL)":[73],"or":[74,132],"exact":[76],"Riemann":[77,94],"solver":[78],"(RS)":[79],"flux,":[81],"ones":[83],"do":[84],"not":[85],"consider":[86],"in":[87,117,139,187,238],"any":[88],"way":[89],"structure":[91],"problem":[95],"at":[96],"cell":[97],"interfaces.":[98],"Adopting":[99],"leads":[103],"to":[104,130,165,183,201,218],"level":[107],"flexibility":[109],"resulting":[112],"schemes,":[114],"example":[116],"context":[119],"complicated":[121],"systems,":[123],"which":[125],"RSs":[126],"may":[127],"be":[128],"impossible":[129],"construct":[131],"computationally":[133],"expensive.":[134],"The":[135,195,226],"baseline":[136],"adopted":[138],"this":[140,198,231],"investigation":[141,232],"is":[142,200,214,233],"FV":[144],"approach":[146],"Weighted":[148],"Essentially":[149],"Non--Oscillatory":[150],"(WENO)":[151],"spatial":[152],"reconstruction":[153],"Deferred":[155],"Correction":[156],"(DeC)":[157],"time":[158],"discretization,":[159],"results":[161,189],"are":[162],"reported":[163],"up":[164],"7.":[167],"Previous":[168],"investigations":[169],"involving":[170],"same":[172],"established":[175],"that":[176,203],"increasing":[177],"accuracy":[181],"tends":[182],"decrease":[184],"differences":[186],"through":[191],"different":[192],"goal":[196],"paper":[199],"show":[202],"employment":[205],"competitive":[216],"alternative":[217],"adoption":[220],"more":[222],"classical":[223],"system":[228],"considered":[229],"ideal":[235],"Euler":[236],"one":[239],"two":[241],"space":[242],"dimensions.":[243]},"counts_by_year":[],"updated_date":"2025-12-26T23:12:39.385286","created_date":"2025-12-26T00:00:00"}