Acoustic scattering in a waveguide with a height discontinuity bridged by a membrane: a tailored Galerkin approach
This article is concerned with the reflection and the transmission of fluid–structure-coupled waves at the junction between two flexible waveguides of different heights. Unlike previous studies, in which the waveguides are joined at the height discontinuity by a rigid or soft strip, in this study, t...
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| Veröffentlicht in: | Journal of engineering mathematics 2017-08, Vol.105 (1), p.99-115 |
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| container_title | Journal of engineering mathematics |
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| creator | Lawrie, Jane B. Afzal, Muhammad |
| description | This article is concerned with the reflection and the transmission of fluid–structure-coupled waves at the junction between two flexible waveguides of different heights. Unlike previous studies, in which the waveguides are joined at the height discontinuity by a rigid or soft strip, in this study, the height discontinuity is bridged by a membrane. The aims are first to develop a solution method that enables a wide range of conditions to be applied at the edges of the bridging membrane and then to ascertain the effects that these have on the reflected and the transmitted fields. Numerical results are presented which confirm that that the conditions applied at the edges of the bridging membrane do have significant effects on the reflected and the transmitted components of power. |
| doi_str_mv | 10.1007/s10665-016-9885-3 |
| format | Article |
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Unlike previous studies, in which the waveguides are joined at the height discontinuity by a rigid or soft strip, in this study, the height discontinuity is bridged by a membrane. The aims are first to develop a solution method that enables a wide range of conditions to be applied at the edges of the bridging membrane and then to ascertain the effects that these have on the reflected and the transmitted fields. 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Unlike previous studies, in which the waveguides are joined at the height discontinuity by a rigid or soft strip, in this study, the height discontinuity is bridged by a membrane. The aims are first to develop a solution method that enables a wide range of conditions to be applied at the edges of the bridging membrane and then to ascertain the effects that these have on the reflected and the transmitted fields. Numerical results are presented which confirm that that the conditions applied at the edges of the bridging membrane do have significant effects on the reflected and the transmitted components of power.</description><subject>Acoustic scattering</subject><subject>Applications of Mathematics</subject><subject>Bridging</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Discontinuity</subject><subject>Galerkin method</subject><subject>Mathematical and Computational Engineering</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Strip</subject><subject>Theoretical and Applied Mechanics</subject><subject>Waveguides</subject><issn>0022-0833</issn><issn>1573-2703</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kDFPwzAQhS0EEqXwA9gsMQfOdhI7bFUFBakSC8yW4ziJS5sE26Hqv8dRGFiY7nT33jvdh9AtgXsCwB88gTzPEiB5UgiRJewMLUjGWUI5sHO0AKA0AcHYJbryfgcAhUjpArmV7kcfrMZeqxCMs12DbYcVPqpv04y2MvhoQxsHrbFNG3Blve67YLvRhhMuna0aU-HyFBUHcyid6sxj7IOy-97FzUbtjfucIofB9Uq31-iiVntvbn7rEn08P72vX5Lt2-Z1vdommpE8JFxTVvO6rHiVpSaFQmc0g1xUXBS1YSmUuqRcx-cFMyUHwk2RF1AKrjmJIrZEd3NuPPs1Gh_krh9dF09KUtCMMkpoEVVkVmnXe-9MLQdnD8qdJAE5oZUzWhnRygmtZNFDZ48fJl7G_Un-1_QDHgN8bA</recordid><startdate>20170801</startdate><enddate>20170801</enddate><creator>Lawrie, Jane B.</creator><creator>Afzal, Muhammad</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20170801</creationdate><title>Acoustic scattering in a waveguide with a height discontinuity bridged by a membrane: a tailored Galerkin approach</title><author>Lawrie, Jane B. ; Afzal, Muhammad</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-7c23f7fbd7d54e409c525068d789fe340bcb27c00783eb7017e9690b87c71d783</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Acoustic scattering</topic><topic>Applications of Mathematics</topic><topic>Bridging</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Discontinuity</topic><topic>Galerkin method</topic><topic>Mathematical and Computational Engineering</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Strip</topic><topic>Theoretical and Applied Mechanics</topic><topic>Waveguides</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lawrie, Jane B.</creatorcontrib><creatorcontrib>Afzal, Muhammad</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of engineering mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lawrie, Jane B.</au><au>Afzal, Muhammad</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Acoustic scattering in a waveguide with a height discontinuity bridged by a membrane: a tailored Galerkin approach</atitle><jtitle>Journal of engineering mathematics</jtitle><stitle>J Eng Math</stitle><date>2017-08-01</date><risdate>2017</risdate><volume>105</volume><issue>1</issue><spage>99</spage><epage>115</epage><pages>99-115</pages><issn>0022-0833</issn><eissn>1573-2703</eissn><abstract>This article is concerned with the reflection and the transmission of fluid–structure-coupled waves at the junction between two flexible waveguides of different heights. 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| ispartof | Journal of engineering mathematics, 2017-08, Vol.105 (1), p.99-115 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Acoustic scattering Applications of Mathematics Bridging Computational Mathematics and Numerical Analysis Discontinuity Galerkin method Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Strip Theoretical and Applied Mechanics Waveguides |
| title | Acoustic scattering in a waveguide with a height discontinuity bridged by a membrane: a tailored Galerkin approach |
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