LI Jun-pu, FU Zhuo-jia, CHEN Wen. The Singular Boundary Method for Obliquely Incident Water Wave Passing a Submerged Breakwater[J]. Applied Mathematics and Mechanics, 2015, 36(10): 1035-1044. doi: 10.3879/j.issn.1000-0887.2015.10.003
Citation: LI Jun-pu, FU Zhuo-jia, CHEN Wen. The Singular Boundary Method for Obliquely Incident Water Wave Passing a Submerged Breakwater[J]. Applied Mathematics and Mechanics, 2015, 36(10): 1035-1044. doi: 10.3879/j.issn.1000-0887.2015.10.003

The Singular Boundary Method for Obliquely Incident Water Wave Passing a Submerged Breakwater

doi: 10.3879/j.issn.1000-0887.2015.10.003
Funds:  The National Natural Science Foundation of China(11372097;11302069); The National Science Fund for Distinguished Young Scholars of China(11125208); China Postdoctoral Science Foundation(2014M561565)
  • Received Date: 2015-01-30
  • Rev Recd Date: 2015-03-03
  • Publish Date: 2015-10-15
  • The singular boundary method (SBM) was implemented to solve the obliquely incident water wave passing a submerged breakwater. The SBM was a recently emerging boundary-type collocation method with the merits of being meshless, integration-free, mathematically simple and easy-to-program. The accuracy and efficiency of the SBM was first investigated through the benchmark examples in comparison with the boundary element method. Then the effects of the position, size and geometry of the breakwater on the water wave propagation were analyzed through extensive numerical experiments. The numerical results verify that the present SBM provides accurate solutions in good agreement with those of the boundary element method. Then the numerical investigations show that the size of the breakwater has a great effect on the water wave propagation. The larger the dimensionless height of the breakwater is, the more obvious the observed shield effect is on the water wave propagation passing the submerged breakwater. With the increasing dimensionless width of the breakwater, the shield effect of the breakwater first rises and then falls. The slope of the breakwater has no obvious shield effect on the water wave propagation. The absorbing submerged breakwater has smaller transmission coefficient T and larger reflection coefficient R than the rigid submerged breakwater, which means a more obvious shield effect.
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