Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout
This paper investigated the spacing threshold of nonsubmerged spur dikes with alternate layout to classify the impact scale of spur dikes. A mathematical model was built based on standard k-ε model, finite volume method (FVM), and rigid lid assumption and was verified by experimental data. According...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/945984 |
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| author | Xiaomeng Cao Zhenghua Gu Hongwu Tang |
| author_facet | Xiaomeng Cao Zhenghua Gu Hongwu Tang |
| author_sort | Xiaomeng Cao |
| collection | DOAJ |
| description | This paper investigated the spacing threshold of nonsubmerged spur dikes with alternate layout to classify the impact scale of spur dikes. A mathematical model was built based on standard k-ε model, finite volume method (FVM), and rigid lid assumption and was verified by experimental data. According to dimensional analysis, three indices, that is, Fr (Froude number), B/b (channel width to dike length), and B/h (channel width to water depth), were identified as the influencing factors on the spacing threshold, based on which fifteen sets of conditions were simulated. The calculation results indicate that B/h is the most influencing parameter on Sc/b (spacing threshold to dike length), followed by B/b and Fr. A dimensionless empirical formula of spacing threshold is fitted by multivariate regression. The results of four sets of additional conditions illustrate that the generalization of empirical formula is satisfactory and the precision of interpolation is higher than that of extrapolation. Furthermore, the spacing threshold of alternate spur dikes is generally smaller than ipsilateral spur dikes. |
| format | Article |
| id | doaj-art-205195a7f403451495fdc5d60e23eed5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-205195a7f403451495fdc5d60e23eed52025-02-03T01:02:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/945984945984Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate LayoutXiaomeng Cao0Zhenghua Gu1Hongwu Tang2College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, ChinaCollege of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, ChinaState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, ChinaThis paper investigated the spacing threshold of nonsubmerged spur dikes with alternate layout to classify the impact scale of spur dikes. A mathematical model was built based on standard k-ε model, finite volume method (FVM), and rigid lid assumption and was verified by experimental data. According to dimensional analysis, three indices, that is, Fr (Froude number), B/b (channel width to dike length), and B/h (channel width to water depth), were identified as the influencing factors on the spacing threshold, based on which fifteen sets of conditions were simulated. The calculation results indicate that B/h is the most influencing parameter on Sc/b (spacing threshold to dike length), followed by B/b and Fr. A dimensionless empirical formula of spacing threshold is fitted by multivariate regression. The results of four sets of additional conditions illustrate that the generalization of empirical formula is satisfactory and the precision of interpolation is higher than that of extrapolation. Furthermore, the spacing threshold of alternate spur dikes is generally smaller than ipsilateral spur dikes.http://dx.doi.org/10.1155/2013/945984 |
| spellingShingle | Xiaomeng Cao Zhenghua Gu Hongwu Tang Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout Journal of Applied Mathematics |
| title | Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout |
| title_full | Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout |
| title_fullStr | Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout |
| title_full_unstemmed | Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout |
| title_short | Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout |
| title_sort | study on spacing threshold of nonsubmerged spur dikes with alternate layout |
| url | http://dx.doi.org/10.1155/2013/945984 |
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