{"id":"https://openalex.org/W2048676647","doi":"https://doi.org/10.1137/040618783","title":"RKDG Finite Element Method Combined with BGK Scheme for Solving Fluid Dynamics System","display_name":"RKDG Finite Element Method Combined with BGK Scheme for Solving Fluid Dynamics System","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2048676647","doi":"https://doi.org/10.1137/040618783","mag":"2048676647"},"language":"en","primary_location":{"id":"doi:10.1137/040618783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040618783","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5050766018","display_name":"Qingfang Dai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qingfang Dai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5086426645","display_name":"Xijun Yu","orcid":"https://orcid.org/0000-0003-2609-1994"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xijun Yu","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":0.8287,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74125509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"3","first_page":"805","last_page":"831"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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":0.9990000128746033,"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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7659341096878052},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7404592037200928},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7334293127059937},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6987797021865845},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.5688447952270508},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5017342567443848},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.49069464206695557},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4850289225578308},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4657875597476959},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.44074711203575134},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.41013506054878235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3668617308139801}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7659341096878052},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7404592037200928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7334293127059937},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6987797021865845},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.5688447952270508},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5017342567443848},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.49069464206695557},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4850289225578308},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4657875597476959},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.44074711203575134},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41013506054878235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3668617308139801},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/040618783","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040618783","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W49087508","https://openalex.org/W1528562574","https://openalex.org/W1685328395","https://openalex.org/W1969750481","https://openalex.org/W1970921635","https://openalex.org/W1979492995","https://openalex.org/W1982465309","https://openalex.org/W1993613616","https://openalex.org/W1993914103","https://openalex.org/W1993923624","https://openalex.org/W1994362093","https://openalex.org/W1998830482","https://openalex.org/W1999399767","https://openalex.org/W2004206050","https://openalex.org/W2006962577","https://openalex.org/W2012938047","https://openalex.org/W2025509990","https://openalex.org/W2034993664","https://openalex.org/W2036202944","https://openalex.org/W2036550797","https://openalex.org/W2041264726","https://openalex.org/W2042461280","https://openalex.org/W2054662916","https://openalex.org/W2065908448","https://openalex.org/W2066439268","https://openalex.org/W2069036386","https://openalex.org/W2072150166","https://openalex.org/W2085961649","https://openalex.org/W2088460928","https://openalex.org/W2090740831","https://openalex.org/W2168457648","https://openalex.org/W4214751139","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1964985536","https://openalex.org/W2009711572","https://openalex.org/W2089955609","https://openalex.org/W2466040413","https://openalex.org/W2189596786","https://openalex.org/W2563697776","https://openalex.org/W2039299714","https://openalex.org/W2041041444","https://openalex.org/W2377834777","https://openalex.org/W1674877062"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,56],"new":[4],"type":[5],"of":[6,13,74,107],"second-order":[7,57],"scheme":[8,69],"for":[9],"solving":[10],"the":[11,18,27,34,40,45,64,71,75,93,96,108],"system":[12,47],"Euler":[14,35],"equations,":[15],"which":[16],"combines":[17],"Runge--Kutta":[19],"discontinuous":[20],"Galerkin":[21],"(RKDG)":[22],"finite":[23,77],"element":[24,78],"method":[25,59,110],"and":[26,43,88,105,119],"Bhatnagar--Gross--Krook":[28],"(BGK)":[29],"scheme.":[30],"We":[31],"first":[32],"discretize":[33],"equations":[36],"in":[37,83,89,117],"space":[38],"with":[39,92],"DG":[41,76],"method,":[42,79],"then":[44],"resulting":[46],"will":[48],"be":[49],"discretized":[50],"using":[51,100],"an":[52],"RK":[53],"method.":[54],"Finally,":[55],"BGK":[58,94],"is":[60],"used":[61],"to":[62],"construct":[63],"numerical":[65,115],"flux.":[66],"The":[67,103],"proposed":[68,97,109],"keeps":[70],"main":[72],"advantages":[73],"including":[80],"its":[81],"flexibility":[82],"handling":[84],"irregular":[85],"solution":[86],"domains":[87],"parallelization.":[90],"Moreover,":[91],"approach":[95],"schemes":[98],"avoid":[99],"Riemann":[101],"solvers.":[102],"efficiency":[104],"effectiveness":[106],"are":[111],"illustrated":[112],"by":[113],"several":[114],"examples":[116],"one-":[118],"two-dimensional":[120],"spaces.":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}