{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:40:21Z","timestamp":1753886421562,"version":"3.41.2"},"reference-count":13,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,13]],"date-time":"2012-05-13T00:00:00Z","timestamp":1336867200000},"content-version":"vor","delay-in-days":133,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for low inlet airflow velocity. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel during oscillations. The flow is described by the system of Navier\u2010Stokes equations for laminar flows. The numerical solution is implemented using the finite volume method (FVM) and the predictor\u2010corrector Mac\u2010Cormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. Due to the motion of the grid, the basic system of conservation laws is considered in the arbitrary Lagrangian\u2010Eulerian (ALE) form. The numerical results of unsteady flows in the channel are presented for inlet Mach number <jats:italic>M<\/jats:italic><jats:sub><jats:italic>\u221e<\/jats:italic><\/jats:sub> = 0.012, Reynolds number Re<jats:sub><jats:italic>\u221e<\/jats:italic><\/jats:sub> = 4481, and the wall motion frequency 100\u2009Hz.<\/jats:p>","DOI":"10.1155\/2012\/545120","type":"journal-article","created":{"date-parts":[[2012,5,13]],"date-time":"2012-05-13T21:02:30Z","timestamp":1336942950000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis"],"prefix":"10.1155","volume":"2012","author":[{"given":"Petra","family":"Po\u0159\u00edzkov\u00e1","sequence":"first","affiliation":[]},{"given":"Karel","family":"Kozel","sequence":"additional","affiliation":[]},{"given":"Jarom\u00edr","family":"Hor\u00e1\u010dek","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,13]]},"reference":[{"volume-title":"Principles of Voice Production","year":"2000","author":"Titze I. 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PIV measurement of flow-patterns in human vocal tract model Proceedings of the the International Conference on Acoustic NAG\/DAGA 2009 2009 Rotterdam The Netherlands 1737\u20131740."},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2009.12.006"},{"key":"e_1_2_8_7_2","series-title":"COE Lecture Notes","volume-title":"Solution of Inviscid Incompressible Flow Over a Vibrating Profile","author":"Honzatko R.","year":"2006"},{"key":"e_1_2_8_8_2","first-page":"81","article-title":"Numerical solution of the Euler equations by the finite volume methods using Runge-Kutta time-stepping schemes","author":"Jameson A.","year":"1981","journal-title":"AIAA"},{"volume-title":"Mathematical Modeling in Aerodynamics","year":"1996","author":"Dvorak R.","key":"e_1_2_8_9_2"},{"key":"e_1_2_8_10_2","unstructured":"PorizkovaP. 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Fluid-structure interaction in human vocal folds Ph.D. thesis 2007 Charles University in Prague Faculty of Mathematics and Physics Prague Czech Republic."},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1121\/1.2409488"},{"key":"e_1_2_8_13_2","series-title":"Lecture Notes in Physics","volume-title":"Remark on Numerical Simulation of 2D Unsteady Transonic Flows","author":"Fort J.","year":"1993"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/545120.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/545120.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/545120","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:57:51Z","timestamp":1718089071000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/545120"}},"subtitle":[],"editor":[{"given":"Fu-Yun","family":"Zhao","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/545120"],"URL":"https:\/\/doi.org\/10.1155\/2012\/545120","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-01-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-08","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-05-13","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"545120"}}