• Title of article

    An Optimal Dimension of Submerged Parallel Bars as a Wave Reflector

  • Author/Authors

    Pudjaprasetya, S. R. Institut Teknologi Bandung - Faculty of Mathematics and Natural Sciences - Industrial and Financial Mathematics Research Group, Indonesia , Chendra, H. D. Institut Teknologi Bandung - Faculty of Mathematics and Natural Sciences - Industrial and Financial Mathematics Research Group, Indonesia

  • From page
    55
  • To page
    62
  • Abstract
    This paper studies submerged parallel bars as a wave reflector us- ing the linear Shallow Water Equation (SWE). First, we recall the analytical study from literature about finding an optimal width of a one-bar wave reflec- tor with a specific height. Numerical study is applied using the Lax-Wendroff discretization method with different partition along x-axis in order to avoid nu- merical diffusion error. Comparison between analytical and numerical solutions shows a good agreement, qualitatively and quantitatively. Using an analogous physical argument as in the case of one-bar wave reflector, we can obtain an optimal dimension of submerged n-bar wave reflector. Numerical computations are made and they confirm this optimal dimension. Finally, we conclude that in order to get the minimal amplitude of transmitted wave, the wavelength of an incident wave and the dimension of bars should be closely matched.
  • Keywords
    Submerged parallel bars , shallow water equation.
  • Journal title
    Bulletin of the Malaysian Mathematical Sciences Society
  • Journal title
    Bulletin of the Malaysian Mathematical Sciences Society
  • Record number

    2549789