{"id":"https://openalex.org/W2123055813","doi":"https://doi.org/10.1155/2000/419840","title":"Coordinate Free Programming of Computational Fluid Dynamics Problems","display_name":"Coordinate Free Programming of Computational Fluid Dynamics Problems","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2123055813","doi":"https://doi.org/10.1155/2000/419840","mag":"2123055813"},"language":"en","primary_location":{"id":"doi:10.1155/2000/419840","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2000/419840","pdf_url":"https://downloads.hindawi.com/journals/sp/2000/419840.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"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":"Scientific Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/sp/2000/419840.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113522553","display_name":"P.W. Grant","orcid":"https://orcid.org/0009-0003-9750-4423"},"institutions":[{"id":"https://openalex.org/I39586589","display_name":"Swansea University","ror":"https://ror.org/053fq8t95","country_code":"GB","type":"education","lineage":["https://openalex.org/I39586589"]},{"id":"https://openalex.org/I97429440","display_name":"University of Wales","ror":"https://ror.org/01se4f844","country_code":"GB","type":"education","lineage":["https://openalex.org/I97429440"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Philip W. Grant","raw_affiliation_strings":["Department of Computer Science, University of Wales Swansea","Dept. of Comput. Sci., Univ. of Wales Swansea, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Wales Swansea","institution_ids":["https://openalex.org/I39586589","https://openalex.org/I97429440"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of Wales Swansea, UK","institution_ids":["https://openalex.org/I39586589"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100786124","display_name":"Magne Haveraaen","orcid":"https://orcid.org/0000-0003-0836-8347"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Magne Haveraaen","raw_affiliation_strings":["Department of Informatics, University of Bergen","Department of Informatics, University of Bergen, Norway,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Department of Informatics, University of Bergen, Norway,","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011149049","display_name":"M.F. Webster","orcid":"https://orcid.org/0000-0002-7722-821X"},"institutions":[{"id":"https://openalex.org/I39586589","display_name":"Swansea University","ror":"https://ror.org/053fq8t95","country_code":"GB","type":"education","lineage":["https://openalex.org/I39586589"]},{"id":"https://openalex.org/I97429440","display_name":"University of Wales","ror":"https://ror.org/01se4f844","country_code":"GB","type":"education","lineage":["https://openalex.org/I97429440"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Michael F. Webster","raw_affiliation_strings":["Department of Computer Science, University of Wales Swansea","Dept. of Comput. Sci., Univ. of Wales Swansea, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Wales Swansea","institution_ids":["https://openalex.org/I39586589","https://openalex.org/I97429440"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of Wales Swansea, UK","institution_ids":["https://openalex.org/I39586589"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1800,"currency":"USD","value_usd":1800},"apc_paid":{"value":1800,"currency":"USD","value_usd":1800},"fwci":3.1858,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.92445781,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"8","issue":"4","first_page":"211","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.963699996471405,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9401000142097473,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6925514340400696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6874597072601318},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6692957878112793},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.6229076981544495},{"id":"https://openalex.org/keywords/computational-fluid-dynamics","display_name":"Computational fluid dynamics","score":0.6048206686973572},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.46421363949775696},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.46391406655311584},{"id":"https://openalex.org/keywords/software-development","display_name":"Software development","score":0.4438219368457794},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4101860523223877},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38416168093681335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20950978994369507},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.16639292240142822},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12043529748916626},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.11721411347389221},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11094629764556885}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6925514340400696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6874597072601318},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6692957878112793},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.6229076981544495},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.6048206686973572},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.46421363949775696},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.46391406655311584},{"id":"https://openalex.org/C529173508","wikidata":"https://www.wikidata.org/wiki/Q638608","display_name":"Software development","level":3,"score":0.4438219368457794},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4101860523223877},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38416168093681335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20950978994369507},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16639292240142822},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12043529748916626},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.11721411347389221},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11094629764556885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2000/419840","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2000/419840","pdf_url":"https://downloads.hindawi.com/journals/sp/2000/419840.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"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":"Scientific Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.107.2599","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.107.2599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ii.uib.no/saga/papers/spr64.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:78b7f0d5f1894743b757dc4b0a5548b4","is_oa":true,"landing_page_url":"https://doaj.org/article/78b7f0d5f1894743b757dc4b0a5548b4","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":"Scientific Programming, Vol 8, Iss 4, Pp 211-230 (2000)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2000/419840","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2000/419840","pdf_url":"https://downloads.hindawi.com/journals/sp/2000/419840.pdf","source":{"id":"https://openalex.org/S166774750","display_name":"Scientific Programming","issn_l":"1058-9244","issn":["1058-9244","1875-919X"],"is_oa":false,"is_in_doaj":false,"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":"Scientific Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2123055813.pdf","grobid_xml":"https://content.openalex.org/works/W2123055813.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W44388193","https://openalex.org/W194687694","https://openalex.org/W1495346871","https://openalex.org/W1511896011","https://openalex.org/W1553066694","https://openalex.org/W1555946950","https://openalex.org/W1556081769","https://openalex.org/W1570632537","https://openalex.org/W1590854606","https://openalex.org/W1595972641","https://openalex.org/W1644882639","https://openalex.org/W1754075329","https://openalex.org/W1963499629","https://openalex.org/W1969110358","https://openalex.org/W1975961474","https://openalex.org/W1983332239","https://openalex.org/W2009182332","https://openalex.org/W2040133970","https://openalex.org/W2045979103","https://openalex.org/W2047576169","https://openalex.org/W2052487661","https://openalex.org/W2104301310","https://openalex.org/W2111228918","https://openalex.org/W2137417304","https://openalex.org/W2140731979","https://openalex.org/W2156710477","https://openalex.org/W2157712801","https://openalex.org/W2171816001","https://openalex.org/W2468826353","https://openalex.org/W2727945952","https://openalex.org/W2987803397","https://openalex.org/W3107051266","https://openalex.org/W4206457894","https://openalex.org/W6603684714","https://openalex.org/W6604543424","https://openalex.org/W6687320983","https://openalex.org/W6818433925"],"related_works":["https://openalex.org/W2301275550","https://openalex.org/W1971390934","https://openalex.org/W4313201791","https://openalex.org/W2555230829","https://openalex.org/W4283455497","https://openalex.org/W2503713896","https://openalex.org/W1978205588","https://openalex.org/W4311126847","https://openalex.org/W2032827735","https://openalex.org/W3119508870"],"abstract_inverted_index":{"It":[0],"has":[1],"long":[2],"been":[3],"acknowledged":[4],"that":[5,69],"the":[6,22,50,54,61,83,97,100],"development":[7,27],"of":[8,14,28,85,102],"scientific":[9],"applications":[10],"is":[11],"in":[12],"need":[13],"better":[15],"software":[16,26,76],"engineering":[17],"practices.":[18],"Here":[19],"we":[20],"contrast":[21],"difference":[23],"between":[24],"conventional":[25],"CFD":[29],"codes":[30,87],"with":[31,60,106],"a":[32,104,107],"method":[33],"based":[34],"on":[35,96],"coordinate":[36,55],"free":[37],"mathematics.":[38],"The":[39,64,91],"former":[40],"approach":[41,66],"leads":[42],"to":[43],"programs":[44,68],"where":[45],"different":[46],"aspects,":[47],"such":[48],"as":[49],"discretisation":[51],"technique":[52],"and":[53],"systems,":[56],"can":[57],"get":[58],"entangled":[59],"solver":[62],"algorithm.":[63],"latter":[65],"yields":[67],"segregate":[70],"these":[71],"concerns":[72],"into":[73],"fully":[74],"independent":[75],"modules.":[77],"Such":[78],"considerations":[79],"are":[80,94],"important":[81],"for":[82,88],"construction":[84],"numerical":[86],"practical":[89],"problems.":[90],"two":[92],"approaches":[93],"illustrated":[95],"coating":[98,103],"problem:":[99],"simulation":[101],"wire":[105],"polymer.":[108]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}