{"id":"https://openalex.org/W2044709205","doi":"https://doi.org/10.1155/2012/738082","title":"Analysis of Mechanical Energy Transport on Free\u2010Falling Wedge during Water\u2010Entry Phase","display_name":"Analysis of Mechanical Energy Transport on Free\u2010Falling Wedge during Water\u2010Entry Phase","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2044709205","doi":"https://doi.org/10.1155/2012/738082","mag":"2044709205"},"language":"en","primary_location":{"id":"doi:10.1155/2012/738082","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/738082","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/738082.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/738082.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100738580","display_name":"Wenhua Wang","orcid":"https://orcid.org/0009-0008-1539-4707"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wen-Hua Wang","raw_affiliation_strings":["Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024, China","State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China","Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024","State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100741261","display_name":"Yi Huang","orcid":"https://orcid.org/0000-0001-7774-1024"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Huang","raw_affiliation_strings":["Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024, China","School of Naval Architecture, Dalian University of Technology, Dalian 116024, China","Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024","School of Naval Architecture, Dalian University of Technology, Dalian 116024"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Naval Architecture, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"Deepwater Engineering Research Center, Dalian University of Technology, Dalian 116024","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Naval Architecture, Dalian University of Technology, Dalian 116024","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115588288","display_name":"Yanying Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan-Ying Wang","raw_affiliation_strings":["School of Naval Architecture, Dalian University of Technology, Dalian 116024, China","School of Naval Architecture, Dalian University of Technology, Dalian 116024"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Naval Architecture, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Naval Architecture, Dalian University of Technology, Dalian 116024","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100738580"],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11649897,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9997000098228455,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9997000098228455,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9955999851226807,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9933000206947327,"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/wedge","display_name":"Wedge (geometry)","score":0.7536309957504272},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6583681702613831},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5562919974327087},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.5451710224151611},{"id":"https://openalex.org/keywords/free-surface","display_name":"Free surface","score":0.5382577776908875},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.5111711621284485},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.46786025166511536},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.42971867322921753},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4022884666919708},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.35329246520996094},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.33325058221817017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2903856635093689},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2209157645702362},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14137965440750122},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.09918713569641113}],"concepts":[{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.7536309957504272},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6583681702613831},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5562919974327087},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.5451710224151611},{"id":"https://openalex.org/C171889981","wikidata":"https://www.wikidata.org/wiki/Q1454008","display_name":"Free surface","level":2,"score":0.5382577776908875},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.5111711621284485},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.46786025166511536},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.42971867322921753},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4022884666919708},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.35329246520996094},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33325058221817017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2903856635093689},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2209157645702362},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14137965440750122},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.09918713569641113},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/738082","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/738082","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/738082.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1350489036","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1350489036","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:738082","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/738082.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:07891a64f4894b01bd8400ce06294ddf","is_oa":true,"landing_page_url":"https://doaj.org/article/07891a64f4894b01bd8400ce06294ddf","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":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/738082","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/738082","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/738082.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.75,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2044709205.pdf","grobid_xml":"https://content.openalex.org/works/W2044709205.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1968144724","https://openalex.org/W1982573700","https://openalex.org/W2025933531","https://openalex.org/W2068056613","https://openalex.org/W2081344855","https://openalex.org/W2117860981","https://openalex.org/W2128843364","https://openalex.org/W2163091185","https://openalex.org/W2278302926","https://openalex.org/W2292308173","https://openalex.org/W2362659278","https://openalex.org/W3122106573","https://openalex.org/W4245037559","https://openalex.org/W4251349249","https://openalex.org/W4320809865"],"related_works":["https://openalex.org/W2711701061","https://openalex.org/W2010836397","https://openalex.org/W4252202225","https://openalex.org/W2161052744","https://openalex.org/W2057017820","https://openalex.org/W2153547473","https://openalex.org/W4388257821","https://openalex.org/W366968456","https://openalex.org/W4284962501","https://openalex.org/W2027858646"],"abstract_inverted_index":{"For":[0],"better":[1],"discussing":[2],"and":[3,8,19,40,71,89,120,129,149],"understanding":[4],"the":[5,60,79,83,97,110],"physical":[6],"phenomena":[7],"body\u2010fluid":[9,118],"interaction":[10],"of":[11,22,86,109,116],"water\u2010entry":[12,23,107],"problem,":[13],"here":[14],"mechanical\u2010energy":[15],"transport":[16,142],"(wedge,":[17],"fluid,":[18],"each":[20],"other)":[21],"model":[24],"for":[25,51,143],"free":[26,36],"falling":[27],"wedge":[28],"is":[29],"studied":[30],"by":[31,59],"numerical":[32,80],"method":[33,39,85],"based":[34,132],"on":[35,100,133],"surface":[37],"capturing":[38],"Cartesian":[41],"cut":[42],"cell":[43],"mesh.":[44],"In":[45],"this":[46,104],"method,":[47,67],"incompressible":[48],"Euler":[49],"equations":[50,88],"a":[52],"variable":[53],"density":[54],"fluid":[55,98,125],"are":[56,76,93,127,147],"numerically":[57],"calculated":[58],"finite":[61],"volume":[62],"method.":[63],"Then":[64],"artificial":[65],"compressibility":[66],"dual\u2010time":[68],"stepping":[69],"technique,":[70],"Roe\u2032s":[72],"approximate":[73],"Riemann":[74,91],"solver":[75],"applied":[77],"in":[78,124],"scheme.":[81],"Furthermore,":[82],"projection":[84],"momentum":[87],"exact":[90],"solution":[92],"used":[94],"to":[95],"calculate":[96],"pressure":[99],"solid":[101],"boundary.":[102],"On":[103],"basis,":[105],"during":[106],"phase":[108],"free\u2010falling":[111],"wedge,":[112],"macroscopic":[113],"energy":[114,122,141],"conversion":[115],"overall":[117],"system":[119],"microscopic":[121],"transformation":[123],"field":[126],"analyzed":[128],"discussed.":[130],"Finally,":[131],"test":[134],"cases,":[135],"many":[136],"useful":[137],"conclusions":[138],"about":[139],"mechanical":[140],"water":[144],"entry":[145],"problem":[146],"made":[148],"presented.":[150]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}