{"id":"https://openalex.org/W7127052999","doi":"https://doi.org/10.46845/1997-3071-2026-80-110-124","title":"Numerical simulation of hydrodynamics of an axisymmetric grid structure using the \"vortex \u2013 current function\" method","display_name":"Numerical simulation of hydrodynamics of an axisymmetric grid structure using the \"vortex \u2013 current function\" method","publication_year":2026,"publication_date":"2026-01-31","ids":{"openalex":"https://openalex.org/W7127052999","doi":"https://doi.org/10.46845/1997-3071-2026-80-110-124"},"language":"en","primary_location":{"id":"doi:10.46845/1997-3071-2026-80-110-124","doi":"https://doi.org/10.46845/1997-3071-2026-80-110-124","is_oa":true,"landing_page_url":"https://doi.org/10.46845/1997-3071-2026-80-110-124","pdf_url":"https://journal.klgtu.ru/jour/article/download/192/168","source":{"id":"https://openalex.org/S4210205789","display_name":"KSTU News","issn_l":"1997-3071","issn":["1997-3071"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"KSTU News","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://journal.klgtu.ru/jour/article/download/192/168","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019119880","display_name":"\u0410.\u041e. \u0420\u0430\u0436\u0435\u0432","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86496825","display_name":"Kaliningrad State Technical University","ror":"https://ror.org/023mnb461","country_code":"RU","type":"education","lineage":["https://openalex.org/I86496825"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. O. Razhev","raw_affiliation_strings":["Kaliningrad State Technical University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kaliningrad State Technical University","institution_ids":["https://openalex.org/I86496825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124723245","display_name":"A. A. Nedostup","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86496825","display_name":"Kaliningrad State Technical University","ror":"https://ror.org/023mnb461","country_code":"RU","type":"education","lineage":["https://openalex.org/I86496825"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Nedostup","raw_affiliation_strings":["Kaliningrad State Technical University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kaliningrad State Technical University","institution_ids":["https://openalex.org/I86496825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029918594","display_name":"Pavel Vladimirovich Nasenkov","orcid":"https://orcid.org/0000-0002-8841-1562","observed_orcids":["https://orcid.org/0000-0002-8841-1562"]},"institutions":[{"id":"https://openalex.org/I86496825","display_name":"Kaliningrad State Technical University","ror":"https://ror.org/023mnb461","country_code":"RU","type":"education","lineage":["https://openalex.org/I86496825"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"P. V. Nasenkov","raw_affiliation_strings":["Kaliningrad State Technical University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kaliningrad State Technical University","institution_ids":["https://openalex.org/I86496825"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040828276","display_name":"\u041a. \u0412. \u041a\u043e\u043d\u043e\u0432\u0430\u043b\u043e\u0432\u0430","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I86496825","display_name":"Kaliningrad State Technical University","ror":"https://ror.org/023mnb461","country_code":"RU","type":"education","lineage":["https://openalex.org/I86496825"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"K. V. Konovalova","raw_affiliation_strings":["Kaliningrad State Technical University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kaliningrad State Technical University","institution_ids":["https://openalex.org/I86496825"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86496825"],"apc_list":null,"apc_paid":null,"fwci":1.988,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.75601516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":"80","first_page":"110","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.4993000030517578,"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":0.4993000030517578,"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/T13785","display_name":"Aquatic and Environmental Studies","score":0.24660000205039978,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.05249999836087227,"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/hydrodynamics","display_name":"hydrodynamics","score":0.7379999756813049},{"id":"https://openalex.org/keywords/navier-stokes-equations","display_name":"Navier-Stokes equations","score":0.8299999833106995},{"id":"https://openalex.org/keywords/poisson-equation","display_name":"Poisson equation","score":0.9789999723434448},{"id":"https://openalex.org/keywords/implicit-finite-difference-method","display_name":"implicit finite difference scheme","score":0.9190000295639038},{"id":"https://openalex.org/keywords/operator-splitting","display_name":"operator splitting","score":0.8510000109672546},{"id":"https://openalex.org/keywords/heterogeneous-computing","display_name":"heterogeneous computing","score":0.628000020980835}],"concepts":[{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.5152000188827515},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4986000061035156},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47690001130104065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4586000144481659},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4537000060081482},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.45249998569488525},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4269999861717224},{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.39809998869895935},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.38679999113082886},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.37560001015663147},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.37529999017715454},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37279999256134033},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3720000088214874},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.36890000104904175},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3637999892234802},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3564999997615814},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3495999872684479},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3452000021934509},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.33230000734329224},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.32359999418258667},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.3212999999523163},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3116999864578247},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.3093000054359436},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.30570000410079956},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.29919999837875366},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.29580000042915344},{"id":"https://openalex.org/C1164432","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Numerical methods for ordinary differential equations","level":5,"score":0.28780001401901245},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.28220000863075256},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.27320000529289246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2696000039577484},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.2644999921321869},{"id":"https://openalex.org/C122700484","wikidata":"https://www.wikidata.org/wiki/Q16148845","display_name":"Exponential integrator","level":5,"score":0.2605000138282776}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.46845/1997-3071-2026-80-110-124","doi":"https://doi.org/10.46845/1997-3071-2026-80-110-124","is_oa":true,"landing_page_url":"https://doi.org/10.46845/1997-3071-2026-80-110-124","pdf_url":"https://journal.klgtu.ru/jour/article/download/192/168","source":{"id":"https://openalex.org/S4210205789","display_name":"KSTU News","issn_l":"1997-3071","issn":["1997-3071"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"KSTU News","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.46845/1997-3071-2026-80-110-124","doi":"https://doi.org/10.46845/1997-3071-2026-80-110-124","is_oa":true,"landing_page_url":"https://doi.org/10.46845/1997-3071-2026-80-110-124","pdf_url":"https://journal.klgtu.ru/jour/article/download/192/168","source":{"id":"https://openalex.org/S4210205789","display_name":"KSTU News","issn_l":"1997-3071","issn":["1997-3071"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"KSTU News","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7127052999.pdf","grobid_xml":"https://content.openalex.org/works/W7127052999.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2140438255","https://openalex.org/W4285751563","https://openalex.org/W4408806390"],"related_works":["https://openalex.org/W7127044186","https://openalex.org/W4410321868","https://openalex.org/W1222320576","https://openalex.org/W1592936599","https://openalex.org/W1595143334","https://openalex.org/W395271176","https://openalex.org/W2061069923","https://openalex.org/W2148653807","https://openalex.org/W2328375913","https://openalex.org/W2363973174"],"abstract_inverted_index":{"The":[0,26,59,86,135,151],"article":[1],"presents":[2],"a":[3,18,39,57,102,113,181,185],"mathematical":[4],"and":[5,50,61,79,88,98,112,196],"simulation":[6,139,174],"model":[7],"for":[8,81,94,101],"modeling":[9,161],"the":[10,22,29,34,46,53,64,96,130,141,145,157,170,178],"hydrodynamics":[11],"of":[12,28,48,55,63,69,122,137,159,172,180,189,198],"axisymmetric":[13],"mesh":[14],"structures":[15],"such":[16],"as":[17,73,75],"trawl":[19],"codend":[20],"using":[21,140],"vortex\u2013current":[23],"function":[24],"method.":[25],"novelty":[27],"research":[30],"is":[31,133,149,167],"to":[32,36,118],"reduce":[33,45],"problem":[35],"calculation":[37],"in":[38,184],"two-dimensional":[40],"coordinate":[41],"system,":[42],"which":[43],"will":[44],"complexity":[47],"calculations":[49],"speed":[51],"up":[52],"process":[54],"obtaining":[56],"result.":[58],"advantages":[60],"disadvantages":[62],"method":[65,132,143],"are":[66,84,91,106,125,154,175],"described.":[67],"Systems":[68],"partial":[70],"differential":[71],"equations,":[72],"well":[74],"finite":[76],"difference":[77],"schemes":[78],"methods":[80,117],"their":[82],"solution":[83,114,128],"presented.":[85,150],"initial":[87],"boundary":[89],"conditions":[90],"indicated.":[92],"Algorithms":[93],"solving":[95],"Navier-Stokes":[97],"Poisson":[99],"equations":[100,124],"heterogeneous":[103],"computing":[104],"system":[105],"proposed.":[107],"An":[108],"implicit":[109],"finite-difference":[110],"scheme":[111],"by":[115,129],"splitting":[116],"obtain":[119],"tridiagonal":[120],"systems":[121],"linear":[123],"considered.":[126],"Their":[127],"run-through":[131],"shown.":[134],"result":[136],"numerical":[138,160,173],"\u03c9\u2013\u03c8":[142],"on":[144,163],"developed":[146],"computer":[147],"program":[148],"obtained":[152],"results":[153,158,171],"compared":[155],"with":[156,177],"based":[162],"heuristic":[164],"dependencies.":[165],"It":[166],"shown":[168],"that":[169],"consistent":[176],"data":[179],"field":[182],"experiment":[183],"hydraulic":[186],"channel.":[187],"Scope":[188],"application:":[190],"scientific":[191],"research,":[192],"educational":[193],"process,":[194],"design":[195],"operation":[197],"fishing":[199],"trawls,":[200],"virtual":[201],"reality":[202],"systems.":[203]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2026-02-03T00:00:00"}