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    A Two-Dimensional Isoparametric Galerkin Finite Element for Acoustic-Flow Problems

    Source: Journal of Mechanical Design:;1983:;volume( 105 ):;issue: 003::page 385
    Author:
    S.-F. Ling
    ,
    J. F. Hamilton
    ,
    J. J. Allen
    DOI: 10.1115/1.3267372
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In duct acoustics, analytical solutions are difficult to obtain because of the presence of flow, boundary impedance, and complicated geometry. A Galerkin isoparametric finite element based on a domain equation which is uncoupled from the flow field is developed. Applying the method to duct acoustic problems results in a set of complex, unsymmetric, nondiagonal dominant simultaneous equations of high order. The Crout reduction scheme is modified to alleviate the computer storage difficulties in solving the numerical problem. The finite element is applied to the analysis of a semi-infinite duct with flow, and a convergent-divergent duct with flow.
    keyword(s): Flow (Dynamics) , Acoustics , Finite element analysis , Ducts , Equations , Geometry , Storage , Computers AND Impedance (Electricity) ,
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      A Two-Dimensional Isoparametric Galerkin Finite Element for Acoustic-Flow Problems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/97403
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    • Journal of Mechanical Design

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    contributor authorS.-F. Ling
    contributor authorJ. F. Hamilton
    contributor authorJ. J. Allen
    date accessioned2017-05-08T23:16:03Z
    date available2017-05-08T23:16:03Z
    date copyrightSeptember, 1983
    date issued1983
    identifier issn1050-0472
    identifier otherJMDEDB-28034#385_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97403
    description abstractIn duct acoustics, analytical solutions are difficult to obtain because of the presence of flow, boundary impedance, and complicated geometry. A Galerkin isoparametric finite element based on a domain equation which is uncoupled from the flow field is developed. Applying the method to duct acoustic problems results in a set of complex, unsymmetric, nondiagonal dominant simultaneous equations of high order. The Crout reduction scheme is modified to alleviate the computer storage difficulties in solving the numerical problem. The finite element is applied to the analysis of a semi-infinite duct with flow, and a convergent-divergent duct with flow.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Two-Dimensional Isoparametric Galerkin Finite Element for Acoustic-Flow Problems
    typeJournal Paper
    journal volume105
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3267372
    journal fristpage385
    journal lastpage391
    identifier eissn1528-9001
    keywordsFlow (Dynamics)
    keywordsAcoustics
    keywordsFinite element analysis
    keywordsDucts
    keywordsEquations
    keywordsGeometry
    keywordsStorage
    keywordsComputers AND Impedance (Electricity)
    treeJournal of Mechanical Design:;1983:;volume( 105 ):;issue: 003
    contenttypeFulltext
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