{"id":"https://openalex.org/W7160523063","doi":"https://doi.org/10.48550/arxiv.2605.04660","title":"A third-order multi-moment cell-centered Lagrangian scheme for hydrodynamics with an accurate 2D nodal solver","display_name":"A third-order multi-moment cell-centered Lagrangian scheme for hydrodynamics with an accurate 2D nodal solver","publication_year":2026,"publication_date":"2026-05-06","ids":{"openalex":"https://openalex.org/W7160523063","doi":"https://doi.org/10.48550/arxiv.2605.04660"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.04660","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04660","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.04660","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016397111","display_name":"X Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Xiaoteng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135599647","display_name":"Xun Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Xun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135615650","display_name":"Zhijun Shen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shen, Zhijun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5135567210","display_name":"Chao Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Chao","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":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.39879998564720154,"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":0.39879998564720154,"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":0.34389999508857727,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.05510000139474869,"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/riemann-solver","display_name":"Riemann solver","score":0.8163999915122986},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7207000255584717},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5552999973297119},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5461999773979187},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.48649999499320984},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.47450000047683716},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.46700000762939453},{"id":"https://openalex.org/keywords/roe-solver","display_name":"Roe solver","score":0.4417000114917755},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.42080000042915344}],"concepts":[{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.8163999915122986},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7207000255584717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5996999740600586},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5982999801635742},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5552999973297119},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5461999773979187},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.48649999499320984},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.47450000047683716},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.46700000762939453},{"id":"https://openalex.org/C171520575","wikidata":"https://www.wikidata.org/wiki/Q7357538","display_name":"Roe solver","level":4,"score":0.4417000114917755},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.42080000042915344},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.4203999936580658},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.3901999890804291},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35989999771118164},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.3578999936580658},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.34869998693466187},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3343999981880188},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.3319000005722046},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3124000132083893},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26109999418258667},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.26030001044273376}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.04660","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04660","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:10.48550/arxiv.2605.04660","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04660","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.5278453230857849}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,30],"paper":[1],"presents":[2],"a":[3,26,105,145,157,197],"novel":[4],"high-order":[5,38,121,199,227],"cell-centered":[6],"Lagrangian":[7,94,228],"scheme":[8,31,122],"for":[9,90],"2D":[10,106,226],"compressible":[11],"hydrodynamics":[12],"by":[13,33],"bridging":[14],"the":[15,45,51,56,59,65,72,81,91,100,125,128,139,142,161,172,180,202,205,221,240,245],"multi-moment":[16],"constrained":[17],"finite":[18],"volume":[19],"method":[20],"(MCV)":[21],"[16,":[22],"51,":[23],"52]":[24],"with":[25,96],"nodal":[27,52,169,176,191],"Riemann":[28,53,107],"solver.":[29,54],"(denoted":[32],"LMCV)":[34],"not":[35],"only":[36],"maintains":[37],"accuracy":[39,241],"as":[40,196],"MCV":[41,60],"but":[42],"also":[43],"inherits":[44],"conservation":[46,84,177],"and":[47,62,71,85,123,131,150,178,204,242],"robust":[48],"properties":[49],"of":[50,93,117,138,144,148,164,201,232,244],"On":[55,99],"one":[57],"hand,":[58,102],"employs":[61],"evolves":[63],"both":[64],"point-values":[66],"(PV)":[67],"at":[68],"cell":[69,166],"vertexes":[70],"volume-integrated":[73],"averages":[74],"(VIA)":[75],"on":[76,110],"computational":[77],"mesh,":[78],"which":[79],"ensures":[80,175],"rigorous":[82],"numerical":[83,118,132,233],"establishes":[86],"an":[87],"adequate":[88],"foundation":[89],"computation":[92],"fluxes":[95],"high":[97],"accuracy.":[98,185],"other":[101],"we":[103],"developed":[104],"solver":[108,140,192],"based":[109],"EUCCLHYD":[111],"[24],":[112],"it":[113],"takes":[114],"fully":[115],"advantage":[116],"formulations":[119],"from":[120],"accomplishes":[124],"compatibility":[126],"between":[127,211],"mesh":[129],"movement":[130],"fluxes.":[133],"The":[134,153,209],"main":[135],"new":[136,146],"features":[137],"are":[141,235],"introduction":[143],"set":[147],"jump":[149,154],"balance":[151,173],"conditions.":[152],"condition":[155,174],"provides":[156],"high-accurate":[158],"formulation":[159],"linking":[160],"surface":[162],"pressure":[163],"each":[165],"to":[167,238],"its":[168],"velocity,":[170],"while":[171],"stabilizes":[179],"velocity":[181],"field":[182],"without":[183],"losing":[184],"More":[186],"intriguing":[187],"is":[188],"that":[189],"our":[190,216],"can":[193],"be":[194],"regarded":[195],"natural":[198],"extension":[200],"HLLC":[203],"HLLC-2D":[206],"[41]":[207],"solvers.":[208],"comparison":[210],"these":[212],"solvers":[213],"better":[214],"demonstrates":[215],"innovative":[217],"approach":[218],"in":[219,224],"addressing":[220],"difficulties":[222],"encountered":[223],"constructing":[225],"schemes.":[229],"A":[230],"variety":[231],"experiments":[234],"carried":[236],"out":[237],"illustrate":[239],"robustness":[243],"algorithm.":[246]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-08T00:00:00"}
