{"id":"https://openalex.org/W2107640409","doi":"https://doi.org/10.1137/030601910","title":"Analysis of Box Schemes for Reactive Flow Problems","display_name":"Analysis of Box Schemes for Reactive Flow Problems","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2107640409","doi":"https://doi.org/10.1137/030601910","mag":"2107640409"},"language":"en","primary_location":{"id":"doi:10.1137/030601910","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601910","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/A5059969690","display_name":"Sarah Mitchell","orcid":"https://orcid.org/0000-0003-3603-2883"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. L. Mitchell","raw_affiliation_strings":["Institute of Applied Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073624616","display_name":"K. W. Morton","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"K. W. Morton","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Claverton Down, BA2 7AY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Claverton Down, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109439078","display_name":"A. Spence","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Spence","raw_affiliation_strings":["Department of Mathematical Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7406,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73789856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"4","first_page":"1202","last_page":"1225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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":0.9998000264167786,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9975000023841858,"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/mathematics","display_name":"Mathematics","score":0.81899094581604},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.7482860088348389},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5755637884140015},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.5612589716911316},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.545890748500824},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5057735443115234},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49676352739334106},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.49021393060684204},{"id":"https://openalex.org/keywords/flux-limiter","display_name":"Flux limiter","score":0.4606274664402008},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4270513355731964},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.41708946228027344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38739946484565735},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2811354994773865},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12166914343833923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10313469171524048}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.81899094581604},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7482860088348389},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5755637884140015},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.5612589716911316},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.545890748500824},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5057735443115234},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49676352739334106},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.49021393060684204},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.4606274664402008},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4270513355731964},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.41708946228027344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38739946484565735},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2811354994773865},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12166914343833923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10313469171524048},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/030601910","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601910","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.595.2000","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.595.2000","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"http://opus.bath.ac.uk/166/1/Spence_SIAM_JoSC.pdf","raw_type":"text"},{"id":"pmh:oai:purehost.bath.ac.uk:openaire_cris_publications/20ee4aeb-b665-40ec-af8f-58f327325747","is_oa":false,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/20ee4aeb-b665-40ec-af8f-58f327325747","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mitchell, SL, Morton, KW & Spence, A 2006, 'Analysis of box schemes for reactive flow problems', SIAM Journal on Scientific Computing, vol. 27, no. 4, pp. 1202-1225. https://doi.org/10.1137/030601910","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:opus.bath.ac.uk:166","is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/166/1/Spence_SIAM_JoSC.pdf","pdf_url":"http://opus.bath.ac.uk/166/1/Spence_SIAM_JoSC.pdf","source":{"id":"https://openalex.org/S4306401631","display_name":"The University of Bath Online Publications Store (The University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Articles"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.88.2866","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.2866","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iam.ubc.ca/~sarah/60191.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W305332711","https://openalex.org/W1510003436","https://openalex.org/W1567796010","https://openalex.org/W1598003443","https://openalex.org/W1635779336","https://openalex.org/W1976682193","https://openalex.org/W1984158070","https://openalex.org/W1986788497","https://openalex.org/W1992890082","https://openalex.org/W2023558219","https://openalex.org/W2023959074","https://openalex.org/W2031614326","https://openalex.org/W2032137277","https://openalex.org/W2038437689","https://openalex.org/W2045546414","https://openalex.org/W2061866343","https://openalex.org/W2067207246","https://openalex.org/W2073809154","https://openalex.org/W2081041385","https://openalex.org/W2095797625","https://openalex.org/W2138554859","https://openalex.org/W2142789340","https://openalex.org/W2159616190","https://openalex.org/W2315651828","https://openalex.org/W2577663557","https://openalex.org/W2990486981","https://openalex.org/W3003821699","https://openalex.org/W4205444858"],"related_works":["https://openalex.org/W1672500991","https://openalex.org/W2091196763","https://openalex.org/W2041609367","https://openalex.org/W2951370668","https://openalex.org/W1969613191","https://openalex.org/W2185663736","https://openalex.org/W2036392749","https://openalex.org/W2277758822","https://openalex.org/W3014679951","https://openalex.org/W1993094738"],"abstract_inverted_index":{"Key":[0],"properties":[1],"of":[2,45,87],"the":[3,30,35,63,85,88],"box":[4],"scheme":[5,31,89],"are":[6,20,43],"shown":[7,21],"to":[8,28,32,60],"be":[9,70],"advantageous":[10],"for":[11,74],"reactive":[12],"flow":[13],"problems.":[14],"Unconditional":[15],"stability":[16],"and":[17,40,68,79],"compact":[18],"conservation":[19,48],"by":[22],"a":[23,80,92],"detailed":[24],"modified":[25,54],"equation":[26,55],"analysis":[27,56],"enable":[29],"reflect":[33],"exactly":[34],"\"reduced":[36],"speed,\"":[37],"enhanced":[38],"diffusion,":[39],"dispersion":[41],"which":[42],"typical":[44],"such":[46],"\"hyperbolic":[47],"laws":[49],"with":[50],"relaxation.\"":[51],"A":[52],"novel":[53],"is":[57],"also":[58],"used":[59],"show":[61],"how":[62],"spurious":[64],"checkerboard":[65],"mode":[66],"behaves":[67],"can":[69],"controlled.":[71],"Numerical":[72],"experiments":[73],"some":[75],"nonlinear":[76],"one-dimensional":[77],"problems":[78],"two-dimensional":[81],"problem":[82,95],"demonstrate":[83],"that":[84],"behavior":[86],"deduced":[90],"from":[91],"simple":[93],"model":[94],"has":[96],"general":[97],"validity.":[98]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}