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Volume 22 Issue 2
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JI Xiao-qiang, FENG Wei-bing, ZHANG Yu. Application of the radial point interpolation method to numerical simulation of waves[J]. Advances in Water Science, 2011, 22(2): 258-265.
Citation: JI Xiao-qiang, FENG Wei-bing, ZHANG Yu. Application of the radial point interpolation method to numerical simulation of waves[J]. Advances in Water Science, 2011, 22(2): 258-265.
shu

Application of the radial point interpolation method to numerical simulation of waves

  • 1.

    Nanjing Hydraulic Research Institute, Nanjing 210024, China;

  • 2.

    Research Institute of Coastal and Ocean Engineering, Hohai University, Nanjing 210098, China

Funds: The study is financially supported by the National Nature Scence Foundation of China(No.41006048).
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  • Received Date: May 24, 2010
    Graphical Abstract
    • Abstract
  • Numerical simulation of nearshore waves has become an important topic in coastal dynamics.However,there are certain drawbacks associated with the use of rectangular grids for numerical wave modeling from deep water to shallow water,such as selecting grid resolution and treating complex boundaries.Performing the pre-processing procedure can also be a difficult task to accomplish on an orthogonal curvilinear grid or an unstructured grid.As the result,a radial point interpolation method has been developed recently in computational mechanics.The hyperbolictype mild-slope equation is used to describe wave propagation in shoaling water.The equation is spatially discretized using the meshless method,and the forth-order Adams-Bashforth-Moulton predictor-corrector scheme is employed to perform time updating.A nearshore wave model is thus obtained.The model is tested in an experimental topography consisting of an elliptic shoal and in a circular channel case.The result shows that the meshless method can effectively simulate the nearshore wave propagation with a satisfactory accuracy.The method can better treat complex boundary conditions.
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    • References (13)
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