{"id":"https://openalex.org/W6891991118","doi":"https://doi.org/10.48550/arxiv.2204.11668","title":"An ALE residual distribution scheme for the unsteady Euler equations over triangular grids with local mesh adaptation","display_name":"An ALE residual distribution scheme for the unsteady Euler equations over triangular grids with local mesh adaptation","publication_year":2022,"publication_date":"2022-04-25","ids":{"openalex":"https://openalex.org/W6891991118","doi":"https://doi.org/10.48550/arxiv.2204.11668"},"language":"en","primary_location":{"id":"doi:10.48550/arxiv.2204.11668","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2204.11668","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-journal"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2204.11668","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Colombo, Stefano","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Colombo, Stefano","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Re, Barbara","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Re, Barbara","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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":true,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.8141000270843506,"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":0.8141000270843506,"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":0.1362999975681305,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.013399999588727951,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.5604000091552734},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5339000225067139},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.5304999947547913},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5293999910354614},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.516700029373169},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.46070000529289246},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4311000108718872},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.3889999985694885},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.38839998841285706},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.38749998807907104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5758000016212463},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5604000091552734},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5339000225067139},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.5304999947547913},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5293999910354614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5284000039100647},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.516700029373169},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.46070000529289246},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4311000108718872},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3889999985694885},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.38839998841285706},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.38749998807907104},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.36059999465942383},{"id":"https://openalex.org/C134620963","wikidata":"https://www.wikidata.org/wiki/Q17078677","display_name":"Unstructured grid","level":3,"score":0.3589000105857849},{"id":"https://openalex.org/C159674985","wikidata":"https://www.wikidata.org/wiki/Q6823718","display_name":"Method of mean weighted residuals","level":4,"score":0.35339999198913574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3528999984264374},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3513999879360199},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.35120001435279846},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.3499999940395355},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.34860000014305115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3276999890804291},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C2776392105","wikidata":"https://www.wikidata.org/wiki/Q875744","display_name":"Euler\u2013Lagrange equation","level":3,"score":0.3140000104904175},{"id":"https://openalex.org/C93082080","wikidata":"https://www.wikidata.org/wiki/Q5475314","display_name":"Semi-implicit Euler method","level":4,"score":0.30869999527931213},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.2791000008583069},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.263700008392334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25929999351501465},{"id":"https://openalex.org/C30295242","wikidata":"https://www.wikidata.org/wiki/Q1023483","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","level":3,"score":0.257099986076355},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.2540000081062317},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.2533999979496002},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2204.11668","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2204.11668","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-journal"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2204.11668","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2204.11668","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-journal"},"sustainable_development_goals":[{"score":0.5121052265167236,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,84],"work":[1],"presents":[2],"a":[3,25,31,45,54],"novel":[4],"interpolation-free":[5],"mesh":[6,50],"adaptation":[7],"technique":[8],"for":[9],"the":[10,14,20,49,65,78,87,91,107,118],"Euler":[11],"equations":[12,80],"within":[13],"arbitrary":[15],"Lagrangian":[16],"Eulerian":[17],"framework.":[18],"For":[19],"spatial":[21],"discretization,":[22],"we":[23,60],"consider":[24],"residual":[26],"distribution":[27],"scheme,":[28,94],"which":[29,70],"provides":[30],"pretty":[32],"simple":[33],"way":[34],"to":[35,44,72],"achieve":[36],"high":[37],"order":[38],"accuracy":[39],"on":[40],"unstructured":[41,128],"grids.":[42,111,129],"Thanks":[43],"special":[46],"interpretation":[47],"of":[48,56,90,106,121],"connectivity":[51],"changes":[52],"as":[53,96,100],"series":[55],"fictitious":[57],"continuous":[58],"deformations,":[59],"can":[61],"enforce":[62],"by":[63],"construction":[64],"so-called":[66],"geometric":[67],"conservation":[68],"law,":[69],"helps":[71],"avoid":[73],"spurious":[74],"oscillations":[75],"while":[76],"solving":[77],"governing":[79],"over":[81,127],"dynamic":[82],"domains.":[83],"strategy":[85],"preserves":[86],"numerical":[88],"properties":[89],"underlying,":[92],"fixed-connectivity":[93],"such":[95],"conservativeness":[97],"and":[98,123],"stability,":[99],"it":[101],"avoids":[102],"an":[103],"explicit":[104],"interpolation":[105],"solution":[108],"between":[109],"different":[110],"The":[112],"proposed":[113],"approach":[114],"is":[115],"validated":[116],"through":[117],"two-dimensional":[119],"simulations":[120],"steady":[122],"unsteady":[124],"flow":[125],"problems":[126]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}