{"id":"https://openalex.org/W4281710233","doi":"https://doi.org/10.1155/2022/4138315","title":"Evaluating the Stability of Numerical Schemes for Fluid Solvers in Game Technology","display_name":"Evaluating the Stability of Numerical Schemes for Fluid Solvers in Game Technology","publication_year":2022,"publication_date":"2022-06-02","ids":{"openalex":"https://openalex.org/W4281710233","doi":"https://doi.org/10.1155/2022/4138315"},"language":"en","primary_location":{"id":"doi:10.1155/2022/4138315","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2022/4138315","pdf_url":"https://downloads.hindawi.com/journals/ijcgt/2022/4138315.pdf","source":{"id":"https://openalex.org/S186038092","display_name":"International Journal of Computer Games Technology","issn_l":"1687-7047","issn":["1687-7047","1687-7055"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Games Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijcgt/2022/4138315.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052844261","display_name":"C. R. Stark","orcid":"https://orcid.org/0000-0003-4587-6682"},"institutions":[{"id":"https://openalex.org/I877506347","display_name":"Abertay University","ror":"https://ror.org/04mwwnx67","country_code":"GB","type":"education","lineage":["https://openalex.org/I877506347"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Craig R. Stark","raw_affiliation_strings":["Complex Multiscale Dynamics Group, Division of Games Technology and Mathematics, Abertay University, Dundee DD1 1HG, UK"],"raw_orcid":"https://orcid.org/0000-0003-4587-6682","affiliations":[{"raw_affiliation_string":"Complex Multiscale Dynamics Group, Division of Games Technology and Mathematics, Abertay University, Dundee DD1 1HG, UK","institution_ids":["https://openalex.org/I877506347"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053511461","display_name":"D. A. Diver","orcid":"https://orcid.org/0000-0001-6478-6020"},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Declan A. Diver","raw_affiliation_strings":["School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UK"],"raw_orcid":"https://orcid.org/0000-0001-6478-6020","affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UK","institution_ids":["https://openalex.org/I7882870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052844261"],"corresponding_institution_ids":["https://openalex.org/I877506347"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09203042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9922999739646912,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9902999997138977,"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/inviscid-flow","display_name":"Inviscid flow","score":0.7980427742004395},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7173824906349182},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.6979895830154419},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.6079116463661194},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5563263893127441},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5506356954574585},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5223713517189026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5140291452407837},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49079951643943787},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4898774027824402},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.47806480526924133},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.442963570356369},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4361918568611145},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42484164237976074},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4180898368358612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4126036465167999},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4115429222583771},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11421540379524231}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.7980427742004395},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7173824906349182},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.6979895830154419},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.6079116463661194},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5563263893127441},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5506356954574585},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5223713517189026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5140291452407837},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49079951643943787},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4898774027824402},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.47806480526924133},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.442963570356369},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4361918568611145},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42484164237976074},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4180898368358612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4126036465167999},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4115429222583771},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11421540379524231},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2022/4138315","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2022/4138315","pdf_url":"https://downloads.hindawi.com/journals/ijcgt/2022/4138315.pdf","source":{"id":"https://openalex.org/S186038092","display_name":"International Journal of Computer Games Technology","issn_l":"1687-7047","issn":["1687-7047","1687-7055"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Games Technology","raw_type":"journal-article"},{"id":"pmh:oai:eprints.gla.ac.uk:272934","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Articles"},{"id":"pmh:oai:rke.abertay.ac.uk:openaire_cris_publications/09b8c447-30da-4394-a023-c85cf974f831","is_oa":true,"landing_page_url":"https://rke.abertay.ac.uk/en/publications/09b8c447-30da-4394-a023-c85cf974f831","pdf_url":null,"source":{"id":"https://openalex.org/S4306402526","display_name":"Abertay Research Portal (Abertay University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I877506347","host_organization_name":"Abertay University","host_organization_lineage":["https://openalex.org/I877506347"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Stark , C R &amp; Diver , D A 2022 , ' Evaluating the stability of numerical schemes for fluid solvers in game technology ' , International Journal of Computer Games Technology , vol. 2022 , 4138315 , pp. 1-11 . https://doi.org/10.1155/2022/4138315","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:ccb4ecef964e4f16aa81110138ddfc98","is_oa":true,"landing_page_url":"https://doaj.org/article/ccb4ecef964e4f16aa81110138ddfc98","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computer Games Technology, Vol 2022 (2022)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2022/4138315","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/4138315","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2022/4138315","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2022/4138315","pdf_url":"https://downloads.hindawi.com/journals/ijcgt/2022/4138315.pdf","source":{"id":"https://openalex.org/S186038092","display_name":"International Journal of Computer Games Technology","issn_l":"1687-7047","issn":["1687-7047","1687-7055"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Games Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8399999737739563,"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311725","display_name":"Abertay University","ror":"https://ror.org/04mwwnx67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281710233.pdf","grobid_xml":"https://content.openalex.org/works/W4281710233.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W588441650","https://openalex.org/W1561042142","https://openalex.org/W1654733076","https://openalex.org/W1963489779","https://openalex.org/W1973567443","https://openalex.org/W2016103699","https://openalex.org/W2020949446","https://openalex.org/W2056431159","https://openalex.org/W2062801948","https://openalex.org/W2064480181","https://openalex.org/W2076195990","https://openalex.org/W2090843874","https://openalex.org/W2115513040","https://openalex.org/W2142063750","https://openalex.org/W2148209604","https://openalex.org/W2160795898","https://openalex.org/W2202168537","https://openalex.org/W2292072944","https://openalex.org/W2418018006","https://openalex.org/W2583411368","https://openalex.org/W2597172961","https://openalex.org/W2738151934","https://openalex.org/W2765664543","https://openalex.org/W2770565528","https://openalex.org/W2810255734","https://openalex.org/W2947480211","https://openalex.org/W2982169895","https://openalex.org/W3011880947","https://openalex.org/W3016979252","https://openalex.org/W3021622851","https://openalex.org/W3027419932","https://openalex.org/W3089910589","https://openalex.org/W3101538082","https://openalex.org/W3108262526","https://openalex.org/W3110404657","https://openalex.org/W3116747758","https://openalex.org/W3157773662","https://openalex.org/W3177906812","https://openalex.org/W3186587986","https://openalex.org/W3195649670","https://openalex.org/W3213635921","https://openalex.org/W4200013981","https://openalex.org/W4254696097","https://openalex.org/W4298209087"],"related_works":["https://openalex.org/W2030648747","https://openalex.org/W3011550360","https://openalex.org/W3166508280","https://openalex.org/W3119573441","https://openalex.org/W2330640442","https://openalex.org/W2075198862","https://openalex.org/W1544816068","https://openalex.org/W2033424684","https://openalex.org/W2049416585","https://openalex.org/W2124159608"],"abstract_inverted_index":{"A":[0],"variety":[1],"of":[2,26,40,63,93,108],"numerical":[3,28,89],"techniques":[4],"have":[5,118],"been":[6],"explored":[7],"to":[8,46,57,77,87],"solve":[9],"the":[10,24,59,73,85,105,109,115],"shallow":[11],"water":[12,16],"equations":[13,44],"in":[14],"real-time":[15],"simulations":[17],"for":[18],"computer":[19],"graphics":[20],"applications.":[21],"However,":[22],"determining":[23],"stability":[25,62,107],"a":[27,31,37,52,91],"algorithm":[29],"is":[30,97,101],"complex":[32],"and":[33,54,112],"involved":[34],"task":[35],"when":[36],"coupled":[38],"set":[39],"nonlinear":[41],"partial":[42],"differential":[43],"need":[45],"be":[47],"solved.":[48],"This":[49],"paper":[50],"proposes":[51],"novel":[53],"simple":[55],"technique":[56,100],"compare":[58],"relative":[60,106],"empirical":[61],"finite":[64,94],"difference":[65,95],"(or":[66],"any":[67],"grid-based":[68],"scheme)":[69],"algorithms":[70],"by":[71],"solving":[72],"inviscid":[74],"Burgers\u2019":[75],"equation":[76],"analyse":[78],"their":[79],"respective":[80],"breaking":[81],"times.":[82],"To":[83],"exemplify":[84],"method":[86],"evaluate":[88],"stability,":[90],"range":[92],"schemes":[96,111,117],"considered.":[98],"The":[99],"effective":[102],"at":[103],"evaluating":[104],"considered":[110],"demonstrates":[113],"that":[114],"conservative":[116],"superior":[119],"stability.":[120]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
