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Journal of Applied Mathematics
Volume 2013, Article ID 945984, 8 pages
http://dx.doi.org/10.1155/2013/945984
Research Article

Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout

1College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
2State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China

Received 21 September 2013; Accepted 19 November 2013

Academic Editor: Y. P. Li

Copyright © 2013 Xiaomeng Cao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 - model, finite volume method (FVM), and rigid lid assumption and was verified by experimental data. According to dimensional analysis, three indices, that is, (Froude number), (channel width to dike length), and (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 is the most influencing parameter on (spacing threshold to dike length), followed by and . 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.