{"id":"https://openalex.org/W2052287272","doi":"https://doi.org/10.1137/s003614290138872x","title":"Computing the Effective Hamiltonian in the Majda--Souganidis Model of Turbulent Premixed Flames","display_name":"Computing the Effective Hamiltonian in the Majda--Souganidis Model of Turbulent Premixed Flames","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2052287272","doi":"https://doi.org/10.1137/s003614290138872x","mag":"2052287272"},"language":"en","primary_location":{"id":"doi:10.1137/s003614290138872x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290138872x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5076247487","display_name":"Boualem Khouider","orcid":"https://orcid.org/0000-0002-6899-5257"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Boualem Khouider","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024535228","display_name":"Anne Bourlioux","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anne Bourlioux","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076247487"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9002,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.73872648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"4","first_page":"1330","last_page":"1353"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991000294685364,"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":0.9991000294685364,"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":0.998199999332428,"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/T10553","display_name":"Combustion and flame dynamics","score":0.998199999332428,"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/eigenfunction","display_name":"Eigenfunction","score":0.65618896484375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5918713808059692},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.565694272518158},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.5469323992729187},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.536690890789032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5346490740776062},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5113765597343445},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.4902110695838928},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4811040759086609},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4444121718406677},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4173317849636078},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38230493664741516},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3613705039024353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21585088968276978},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16060194373130798},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.14913657307624817},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13496562838554382},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1054692268371582}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.65618896484375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5918713808059692},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.565694272518158},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.5469323992729187},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.536690890789032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5346490740776062},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5113765597343445},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.4902110695838928},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4811040759086609},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4444121718406677},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4173317849636078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38230493664741516},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3613705039024353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21585088968276978},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16060194373130798},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.14913657307624817},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13496562838554382},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1054692268371582},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s003614290138872x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290138872x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W153353184","https://openalex.org/W1507795625","https://openalex.org/W1554134448","https://openalex.org/W1581764042","https://openalex.org/W1978239096","https://openalex.org/W2003277691","https://openalex.org/W2015130302","https://openalex.org/W2027438381","https://openalex.org/W2034976587","https://openalex.org/W2053068479","https://openalex.org/W2062877399","https://openalex.org/W2149563580","https://openalex.org/W2157712852","https://openalex.org/W2776494794","https://openalex.org/W2953824343"],"related_works":["https://openalex.org/W2094862772","https://openalex.org/W4388397561","https://openalex.org/W4382766439","https://openalex.org/W4287661942","https://openalex.org/W2595463258","https://openalex.org/W2380080472","https://openalex.org/W2765737651","https://openalex.org/W2476202684","https://openalex.org/W1989462402","https://openalex.org/W2296698021"],"abstract_inverted_index":{"Turbulence":[0],"enhances":[1],"the":[2,13,16,24,42,55,58,62,76,80,83,89,110,116],"speed":[3],"of":[4,6,45,48,57,78,91,118],"propagation":[5],"a":[7,28,46,92,97,120,128],"premixed":[8],"flame":[9],"front.":[10],"According":[11],"to":[12,18,36,74,123,127],"Majda--Souganidis":[14],"model,":[15],"procedure":[17],"predict":[19],"this":[20,38,101],"enhancement":[21],"involves":[22],"computing":[23,41],"effective":[25,63],"Hamiltonian":[26],"in":[27],"small-scale":[29],"nonlinear":[30],"cell-problem.":[31],"We":[32,95],"first":[33],"discuss":[34],"how":[35],"transform":[37],"problem":[39],"into":[40],"steady-state":[43],"solution":[44,53,85],"system":[47],"conservation":[49],"laws":[50],"whose":[51],"vector":[52,84],"represents":[54],"gradient":[56,90,111],"eigenfunction":[59],"associated":[60],"with":[61,143],"Hamiltonian.":[64],"Theoretical":[65],"arguments":[66],"as":[67,69],"well":[68],"numerical":[70],"evidence":[71],"are":[72],"presented":[73],"emphasize":[75],"importance":[77],"enforcing":[79],"constraint":[81,102],"that":[82,99],"must":[86],"effectively":[87],"be":[88],"scalar":[93],"function.":[94],"introduce":[96],"scheme":[98],"satisfies":[100],"exactly":[103],"by":[104,134,141],"relying":[105],"on":[106],"staggered":[107],"grids":[108],"for":[109],"components.":[112],"Also":[113],"discussed":[114],"is":[115,132],"issue":[117],"selecting":[119],"time":[121],"integrator":[122],"achieve":[124],"fast":[125],"convergence":[126,136],"steady":[129],"state.":[130],"Validation":[131],"performed":[133],"examining":[135],"under":[137],"grid":[138],"refinement":[139],"and":[140],"comparison":[142],"analytical":[144],"results":[145],"when":[146],"available.":[147]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}