Wave Interaction with a Partially Reflecting Vertical Wall Protected by a Submerged Porous Bar
This study gives an analytical solution for wave interaction with a partially reflecting vertical wall protected by a submerged porous bar based on linear potential theory. The whole study domain is divided into multiple sub-regions in relation to the structures. The velocity potential in each sub-r...
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| Veröffentlicht in: | Journal of Ocean University of China 2016-08, Vol.15 (4), p.619-626 |
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| creator | Zhao, Yang Liu, Yong Li, Huajun |
| description | This study gives an analytical solution for wave interaction with a partially reflecting vertical wall protected by a submerged porous bar based on linear potential theory. The whole study domain is divided into multiple sub-regions in relation to the structures. The velocity potential in each sub-region is written as a series solution by the separation of variables. A partially reflecting boundary condition is used to describe the partial reflection of a vertical wall. Unknown expansion coefficients in the series solutions are determined by matching velocity potentials among different sub-regions. The analytical solution is verified by an independently developed multi-domain boundary element method（BEM） solution and experimental data. The wave run-up and wave force on the partially reflecting vertical wall are estimated and examined, which can be effectively reduced by the submerged porous bar. The horizontal space between the vertical wall and the submerged porous bar is a key factor, which affects the sheltering function of the porous bar. The wave resonance between the porous bar and the vertical wall may disappear when the vertical wall has a low reflection coefficient. The present analytical solution may be used to determine the optimum parameters of structures at a preliminary engineering design stage. |
| doi_str_mv | 10.1007/s11802-016-2837-8 |
| format | Article |
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The whole study domain is divided into multiple sub-regions in relation to the structures. The velocity potential in each sub-region is written as a series solution by the separation of variables. A partially reflecting boundary condition is used to describe the partial reflection of a vertical wall. Unknown expansion coefficients in the series solutions are determined by matching velocity potentials among different sub-regions. The analytical solution is verified by an independently developed multi-domain boundary element method（BEM） solution and experimental data. The wave run-up and wave force on the partially reflecting vertical wall are estimated and examined, which can be effectively reduced by the submerged porous bar. The horizontal space between the vertical wall and the submerged porous bar is a key factor, which affects the sheltering function of the porous bar. The wave resonance between the porous bar and the vertical wall may disappear when the vertical wall has a low reflection coefficient. The present analytical solution may be used to determine the optimum parameters of structures at a preliminary engineering design stage.</description><identifier>ISSN: 1672-5182</identifier><identifier>EISSN: 1993-5021</identifier><identifier>EISSN: 1672-5174</identifier><identifier>DOI: 10.1007/s11802-016-2837-8</identifier><language>eng</language><publisher>Heidelberg: Science Press</publisher><subject>Analysis ; Boundary conditions ; Earth and Environmental Science ; Earth Sciences ; Generalized linear models ; Marine ; Meteorology ; Ocean waves ; Oceanography ; Studies ; Velocity potential ; Wave runup ; 保护 ; 反射系数 ; 垂直 ; 多孔 ; 工程设计阶段 ; 浸没 ; 相互作用 ; 结构关系</subject><ispartof>Journal of Ocean University of China, 2016-08, Vol.15 (4), p.619-626</ispartof><rights>Science Press, Ocean University of China and Springer-Verlag Berlin Heidelberg 2016</rights><rights>Copyright © Wanfang Data Co. Ltd. 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Ocean Univ. China</addtitle><addtitle>Journal of Ocean University of China</addtitle><description>This study gives an analytical solution for wave interaction with a partially reflecting vertical wall protected by a submerged porous bar based on linear potential theory. The whole study domain is divided into multiple sub-regions in relation to the structures. The velocity potential in each sub-region is written as a series solution by the separation of variables. A partially reflecting boundary condition is used to describe the partial reflection of a vertical wall. Unknown expansion coefficients in the series solutions are determined by matching velocity potentials among different sub-regions. The analytical solution is verified by an independently developed multi-domain boundary element method（BEM） solution and experimental data. The wave run-up and wave force on the partially reflecting vertical wall are estimated and examined, which can be effectively reduced by the submerged porous bar. The horizontal space between the vertical wall and the submerged porous bar is a key factor, which affects the sheltering function of the porous bar. The wave resonance between the porous bar and the vertical wall may disappear when the vertical wall has a low reflection coefficient. The present analytical solution may be used to determine the optimum parameters of structures at a preliminary engineering design stage.</description><subject>Analysis</subject><subject>Boundary conditions</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Generalized linear models</subject><subject>Marine</subject><subject>Meteorology</subject><subject>Ocean waves</subject><subject>Oceanography</subject><subject>Studies</subject><subject>Velocity potential</subject><subject>Wave runup</subject><subject>保护</subject><subject>反射系数</subject><subject>垂直</subject><subject>多孔</subject><subject>工程设计阶段</subject><subject>浸没</subject><subject>相互作用</subject><subject>结构关系</subject><issn>1672-5182</issn><issn>1993-5021</issn><issn>1672-5174</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kVtP3DAQhSPUSlDoD-DNoi9IVcp4HF_y2KJekJC6AlreajmJkw3KOqydLey_Z1ZBqOKhT76c75wZzWTZMYdPHECfJc4NYA5c5WiEzs1edsDLUuQSkL-hu9KYS25wP3uX0h2AFFLpg-zPrfvr2UWYfHT11I-BPfTTkjm2cHHq3TBs2ZVvB09a6NhvT5-1G9gtKWwRx4kE37BqS47rTbXysaPnYozjJrEvLh5lb1s3JP_--TzMfn37enP-I7_8-f3i_PNlXhccp9xhKYQWddGYqkRA4LyqZdW0KB02RnBXSGgKroQqQNcaENEp17RCoW69F4fZxzn3wYXWhc7ejZsYqKJdN8tt8_hYWU-pCgoaFtGnM30fx_XGp8mu-lT7YXDBU-OWG2NKSWNEQj-8Ql-SdwOXSpYgiOIzVccxpehbex_7lYtby8Hu9mPn_Vhqwe72Yw15cPYkYkPn4z_J_zGdPBdajqFbk--lktIARiNH8QSuXJxA</recordid><startdate>20160801</startdate><enddate>20160801</enddate><creator>Zhao, Yang</creator><creator>Liu, Yong</creator><creator>Li, Huajun</creator><general>Science Press</general><general>Springer Nature B.V</general><general>Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, Qingdao 266100, P.R.China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W94</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7T7</scope><scope>7TN</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>H95</scope><scope>H96</scope><scope>HCIFZ</scope><scope>L.G</scope><scope>M2P</scope><scope>P64</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20160801</creationdate><title>Wave Interaction with a Partially Reflecting Vertical Wall Protected by a Submerged Porous Bar</title><author>Zhao, Yang ; 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Ocean Univ. China</stitle><addtitle>Journal of Ocean University of China</addtitle><date>2016-08-01</date><risdate>2016</risdate><volume>15</volume><issue>4</issue><spage>619</spage><epage>626</epage><pages>619-626</pages><issn>1672-5182</issn><eissn>1993-5021</eissn><eissn>1672-5174</eissn><abstract>This study gives an analytical solution for wave interaction with a partially reflecting vertical wall protected by a submerged porous bar based on linear potential theory. The whole study domain is divided into multiple sub-regions in relation to the structures. The velocity potential in each sub-region is written as a series solution by the separation of variables. A partially reflecting boundary condition is used to describe the partial reflection of a vertical wall. Unknown expansion coefficients in the series solutions are determined by matching velocity potentials among different sub-regions. The analytical solution is verified by an independently developed multi-domain boundary element method（BEM） solution and experimental data. The wave run-up and wave force on the partially reflecting vertical wall are estimated and examined, which can be effectively reduced by the submerged porous bar. The horizontal space between the vertical wall and the submerged porous bar is a key factor, which affects the sheltering function of the porous bar. The wave resonance between the porous bar and the vertical wall may disappear when the vertical wall has a low reflection coefficient. The present analytical solution may be used to determine the optimum parameters of structures at a preliminary engineering design stage.</abstract><cop>Heidelberg</cop><pub>Science Press</pub><doi>10.1007/s11802-016-2837-8</doi><tpages>8</tpages></addata></record> |
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| ispartof | Journal of Ocean University of China, 2016-08, Vol.15 (4), p.619-626 |
| issn | 1672-5182 1993-5021 1672-5174 |
| language | eng |
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| source | SpringerLink Journals; Alma/SFX Local Collection |
| subjects | Analysis Boundary conditions Earth and Environmental Science Earth Sciences Generalized linear models Marine Meteorology Ocean waves Oceanography Studies Velocity potential Wave runup 保护 反射系数 垂直 多孔 工程设计阶段 浸没 相互作用 结构关系 |
| title | Wave Interaction with a Partially Reflecting Vertical Wall Protected by a Submerged Porous Bar |
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