{"id":"https://openalex.org/W3134249505","doi":"https://doi.org/10.3390/e23030314","title":"Onset of the Mach Reflection of Zel\u2019dovich\u2013von Neumann\u2013D\u00f6ring Detonations","display_name":"Onset of the Mach Reflection of Zel\u2019dovich\u2013von Neumann\u2013D\u00f6ring Detonations","publication_year":2021,"publication_date":"2021-03-06","ids":{"openalex":"https://openalex.org/W3134249505","doi":"https://doi.org/10.3390/e23030314","mag":"3134249505"},"language":"en","primary_location":{"id":"doi:10.3390/e23030314","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23030314","pdf_url":"https://www.mdpi.com/1099-4300/23/3/314/pdf?version=1615534775","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/23/3/314/pdf?version=1615534775","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021216768","display_name":"Tianyu Jing","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyu Jing","raw_affiliation_strings":["State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003422083","display_name":"Huilan Ren","orcid":"https://orcid.org/0000-0001-8020-8298"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huilan Ren","raw_affiliation_strings":["State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063241468","display_name":"Jian Li","orcid":"https://orcid.org/0000-0002-0960-9838"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Li","raw_affiliation_strings":["State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063241468"],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":6.2113,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.96002971,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"3","first_page":"314","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11619","display_name":"Combustion and Detonation Processes","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T11619","display_name":"Combustion and Detonation Processes","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10806","display_name":"Energetic Materials and Combustion","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mach-number","display_name":"Mach number","score":0.780624270439148},{"id":"https://openalex.org/keywords/mach-reflection","display_name":"Mach reflection","score":0.7029436230659485},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.5663104057312012},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.562967836856842},{"id":"https://openalex.org/keywords/mach-wave","display_name":"Mach wave","score":0.5563212037086487},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3990429639816284}],"concepts":[{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.780624270439148},{"id":"https://openalex.org/C169889854","wikidata":"https://www.wikidata.org/wiki/Q6723332","display_name":"Mach reflection","level":4,"score":0.7029436230659485},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.5663104057312012},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.562967836856842},{"id":"https://openalex.org/C107119854","wikidata":"https://www.wikidata.org/wiki/Q775708","display_name":"Mach wave","level":3,"score":0.5563212037086487},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3990429639816284},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e23030314","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23030314","pdf_url":"https://www.mdpi.com/1099-4300/23/3/314/pdf?version=1615534775","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d102063622a14903a67d8afc115393a9","is_oa":true,"landing_page_url":"https://doaj.org/article/d102063622a14903a67d8afc115393a9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 23, Iss 3, p 314 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/23/3/314/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e23030314","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Entropy; Volume 23; Issue 3; Pages: 314","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8000149","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8000149","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e23030314","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e23030314","pdf_url":"https://www.mdpi.com/1099-4300/23/3/314/pdf?version=1615534775","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6891301518","display_name":null,"funder_award_id":"11702026, 11532012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3134249505.pdf","grobid_xml":"https://content.openalex.org/works/W3134249505.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W172667339","https://openalex.org/W583316395","https://openalex.org/W1097734671","https://openalex.org/W1620745550","https://openalex.org/W1656647561","https://openalex.org/W1865345716","https://openalex.org/W1970314613","https://openalex.org/W1978189834","https://openalex.org/W1980560259","https://openalex.org/W1999316723","https://openalex.org/W2026727304","https://openalex.org/W2034492294","https://openalex.org/W2037273171","https://openalex.org/W2047981174","https://openalex.org/W2049103084","https://openalex.org/W2064116834","https://openalex.org/W2075652844","https://openalex.org/W2077047259","https://openalex.org/W2078362206","https://openalex.org/W2084682133","https://openalex.org/W2091619583","https://openalex.org/W2105500646","https://openalex.org/W2108340235","https://openalex.org/W2113491491","https://openalex.org/W2162916841","https://openalex.org/W2164997260","https://openalex.org/W2166154481","https://openalex.org/W2261173742","https://openalex.org/W2469289862","https://openalex.org/W2754854423","https://openalex.org/W3019539201","https://openalex.org/W3020110487","https://openalex.org/W3145353519","https://openalex.org/W6744103509","https://openalex.org/W6776269358"],"related_works":["https://openalex.org/W1992645339","https://openalex.org/W2048469134","https://openalex.org/W2077110693","https://openalex.org/W1971115917","https://openalex.org/W581919112","https://openalex.org/W2085273969","https://openalex.org/W2167229149","https://openalex.org/W2910620474","https://openalex.org/W2365261872","https://openalex.org/W1657894502"],"abstract_inverted_index":{"The":[0,24,50,72,122],"present":[1],"study":[2],"investigates":[3],"the":[4,9,12,21,28,31,44,47,56,59,69,78,87,96,106,109,126,130],"similarity":[5],"problem":[6],"associated":[7],"with":[8,68,135],"onset":[10,131],"of":[11,15,43,46,58,95,129,132],"Mach":[13,51,60,98,133],"reflection":[14,52,134],"Zel\u2019dovich\u2013von":[16],"Neumann\u2013D\u00f6ring":[17],"(ZND)":[18],"detonations":[19],"in":[20,30,143],"near":[22],"field.":[23],"results":[25,124],"reveal":[26],"that":[27,108],"self-similarity":[29],"frozen-limit":[32],"regime":[33],"is":[34,101],"strictly":[35],"valid":[36],"only":[37],"within":[38],"a":[39,116],"small":[40],"scale,":[41],"i.e.,":[42],"order":[45],"induction":[48],"length.":[49],"becomes":[53],"non-self-similar":[54],"during":[55],"transition":[57],"stem":[61],"from":[62,77],"\u201cfrozen\u201d":[63],"to":[64,82,115],"\u201creactive\u201d":[65],"by":[66,86,104],"coupling":[67],"reaction":[70],"zone.":[71],"triple-point":[73],"trajectory":[74],"first":[75],"rises":[76],"self-similar":[79],"result":[80],"due":[81],"compressive":[83],"waves":[84],"generated":[85],"\u201chot":[88],"spot\u201d,":[89],"and":[90,146],"then":[91],"decays":[92],"after":[93],"establishment":[94],"reactive":[97],"stem.":[99],"It":[100],"also":[102],"found,":[103],"removing":[105],"restriction,":[107],"frozen":[110],"limit":[111],"can":[112],"be":[113],"extended":[114],"much":[117],"larger":[118],"distance":[119],"than":[120],"expected.":[121],"obtained":[123],"elucidate":[125],"physical":[127],"origin":[128],"chemical":[136],"reactions,":[137],"which":[138],"has":[139],"previously":[140],"been":[141],"observed":[142],"both":[144],"experiments":[145],"numerical":[147],"simulations.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}