{"id":"https://openalex.org/W1988678260","doi":"https://doi.org/10.1137/090760362","title":"Critical Transonic Shock and Supersonic Bubble in Oblique Rarefaction Wave Reflection along a Compressive Corner","display_name":"Critical Transonic Shock and Supersonic Bubble in Oblique Rarefaction Wave Reflection along a Compressive Corner","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1988678260","doi":"https://doi.org/10.1137/090760362","mag":"1988678260"},"language":"en","primary_location":{"id":"doi:10.1137/090760362","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090760362","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5010125938","display_name":"Wancheng Sheng","orcid":"https://orcid.org/0000-0003-0884-0488"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wancheng Sheng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100449024","display_name":"Guodong Wang","orcid":"https://orcid.org/0000-0001-6007-6638"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guodong Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101865416","display_name":"Tong Zhang","orcid":"https://orcid.org/0000-0001-5365-9114"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tong Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6885,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.71241469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"70","issue":"8","first_page":"3140","last_page":"3155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9969000220298767,"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":0.9901000261306763,"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/transonic","display_name":"Transonic","score":0.8744046688079834},{"id":"https://openalex.org/keywords/mach-reflection","display_name":"Mach reflection","score":0.8343930244445801},{"id":"https://openalex.org/keywords/oblique-shock","display_name":"Oblique shock","score":0.8115132451057434},{"id":"https://openalex.org/keywords/supersonic-speed","display_name":"Supersonic speed","score":0.8077873587608337},{"id":"https://openalex.org/keywords/rarefaction","display_name":"Rarefaction (ecology)","score":0.77213054895401},{"id":"https://openalex.org/keywords/shock-wave","display_name":"Shock wave","score":0.729527473449707},{"id":"https://openalex.org/keywords/mach-wave","display_name":"Mach wave","score":0.6623977422714233},{"id":"https://openalex.org/keywords/shock","display_name":"Shock (circulatory)","score":0.657336950302124},{"id":"https://openalex.org/keywords/mach-number","display_name":"Mach number","score":0.6529778242111206},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.6429792642593384},{"id":"https://openalex.org/keywords/bow-shock","display_name":"Bow shock (aerodynamics)","score":0.5507083535194397},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.520866870880127},{"id":"https://openalex.org/keywords/shock-diamond","display_name":"Shock diamond","score":0.4823017120361328},{"id":"https://openalex.org/keywords/compression","display_name":"Compression (physics)","score":0.46975114941596985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43917953968048096},{"id":"https://openalex.org/keywords/bubble","display_name":"Bubble","score":0.43865203857421875},{"id":"https://openalex.org/keywords/moving-shock","display_name":"Moving shock","score":0.4217971861362457},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.2097967565059662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09953144192695618},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.07661405205726624}],"concepts":[{"id":"https://openalex.org/C103838597","wikidata":"https://www.wikidata.org/wiki/Q1579556","display_name":"Transonic","level":3,"score":0.8744046688079834},{"id":"https://openalex.org/C169889854","wikidata":"https://www.wikidata.org/wiki/Q6723332","display_name":"Mach reflection","level":4,"score":0.8343930244445801},{"id":"https://openalex.org/C132373408","wikidata":"https://www.wikidata.org/wiki/Q7075180","display_name":"Oblique shock","level":3,"score":0.8115132451057434},{"id":"https://openalex.org/C205991772","wikidata":"https://www.wikidata.org/wiki/Q221337","display_name":"Supersonic speed","level":2,"score":0.8077873587608337},{"id":"https://openalex.org/C132705693","wikidata":"https://www.wikidata.org/wiki/Q7294543","display_name":"Rarefaction (ecology)","level":3,"score":0.77213054895401},{"id":"https://openalex.org/C70477161","wikidata":"https://www.wikidata.org/wiki/Q190688","display_name":"Shock wave","level":2,"score":0.729527473449707},{"id":"https://openalex.org/C107119854","wikidata":"https://www.wikidata.org/wiki/Q775708","display_name":"Mach wave","level":3,"score":0.6623977422714233},{"id":"https://openalex.org/C2781300812","wikidata":"https://www.wikidata.org/wiki/Q178061","display_name":"Shock (circulatory)","level":2,"score":0.657336950302124},{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.6529778242111206},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.6429792642593384},{"id":"https://openalex.org/C155991500","wikidata":"https://www.wikidata.org/wiki/Q4950685","display_name":"Bow shock (aerodynamics)","level":3,"score":0.5507083535194397},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.520866870880127},{"id":"https://openalex.org/C122027565","wikidata":"https://www.wikidata.org/wiki/Q474043","display_name":"Shock diamond","level":4,"score":0.4823017120361328},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.46975114941596985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43917953968048096},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.43865203857421875},{"id":"https://openalex.org/C86377145","wikidata":"https://www.wikidata.org/wiki/Q6927154","display_name":"Moving shock","level":3,"score":0.4217971861362457},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2097967565059662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09953144192695618},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.07661405205726624},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C53565203","wikidata":"https://www.wikidata.org/wiki/Q17146659","display_name":"Species richness","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090760362","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090760362","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1971600452","https://openalex.org/W1972099187","https://openalex.org/W1979469089","https://openalex.org/W1984952381","https://openalex.org/W1985818596","https://openalex.org/W1986712039","https://openalex.org/W1990739729","https://openalex.org/W2020168202","https://openalex.org/W2036348354","https://openalex.org/W2036889864","https://openalex.org/W2041423792","https://openalex.org/W2061027127","https://openalex.org/W2066741072","https://openalex.org/W2070388595","https://openalex.org/W2072502073","https://openalex.org/W2087087179","https://openalex.org/W2140222942","https://openalex.org/W2145821666","https://openalex.org/W2159881850","https://openalex.org/W2783746118","https://openalex.org/W4229515552"],"related_works":["https://openalex.org/W2069440155","https://openalex.org/W2890971572","https://openalex.org/W2087972782","https://openalex.org/W197241934","https://openalex.org/W2167795356","https://openalex.org/W2088250578","https://openalex.org/W2319208254","https://openalex.org/W2042114663","https://openalex.org/W1988678260","https://openalex.org/W1978680365"],"abstract_inverted_index":{"The":[0,52],"oblique":[1],"rarefaction":[2,94],"wave":[3,38,95],"reflection":[4,37],"along":[5],"a":[6,41,48,57],"compressive":[7],"corner":[8,82],"is":[9,39,56,73],"considered":[10],"by":[11],"using":[12],"the":[13,36,64,67,71,80,85,93],"numerical":[14],"generalized":[15],"characteristic":[16],"analysis":[17],"method":[18],"(NGCAM).":[19],"We":[20],"have":[21],"clarified":[22],"that":[23],"there":[24],"are":[25],"two":[26],"patterns:":[27],"regular":[28],"reflection-like":[29],"and":[30,63,88],"Mach":[31],"reflection-like.":[32],"In":[33],"both":[34],"patterns,":[35],"always":[40],"compression":[42,81],"simple":[43],"wave,":[44],"which":[45],"ultimately":[46],"forms":[47],"critical":[49,53],"transonic":[50,54,61],"shock.":[51],"shock":[55,72],"special":[58],"kind":[59],"of":[60,70],"shock,":[62],"flow":[65],"at":[66],"back":[68],"bank":[69],"just":[74],"sonic.":[75],"A":[76],"supersonic":[77],"bubble":[78],"near":[79],"grows":[83],"in":[84],"second":[86],"pattern":[87],"will":[89],"break":[90],"through":[91],"as":[92],"size":[96],"increases.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"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":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}