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A numerical experiment on a new piston-type wavemaker: Shallow water approximation

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초록

In this paper, we present a numerical experiment on a new piston-type wavemaker using a recently proposed piston-type wavemaker theory. The theory was primarily derived from the classical Boussinesq equation, based on the Pseudo-parameter Iteration Method (PIM).We first use the new theory to observe low amplitude propagating solitary waves and cnoidal waves, whereby we see the workability and validity of the theory. We further succeed in obtaining the graph of a mean power characteristic, in the range of 0.4  kh  1.0, of the new piston-type wavemaker from the new theory.

Abstract

In this paper, we present a numerical experiment on a new piston-type wavemaker using a recently proposed piston-type wavemaker theory. The theory was primarily derived from the classical Boussinesq equation, based on the Pseudo-parameter Iteration Method (PIM).We first use the new theory to observe low amplitude propagating solitary waves and cnoidal waves, whereby we see the workability and validity of the theory. We further succeed in obtaining the graph of a mean power characteristic, in the range of 0.4  kh  1.0, of the new piston-type wavemaker from the new theory.

참고문헌 (14)

  1. Davarpanah, E., "Numerical simulation of a piston-type wavemaker using Lattice-Boltzmann method with moving nested grids", Amirkabir J. Mech. Eng, 50(4), pp.255~258 (2018)[DOI]
  2. Dean, R. G., "Water Wave Mechanics for Engineers and Scientists" (1984), Prentice Hall, Inc
  3. Debnath, L., "Nonlinear Water Waves" (1994), Academic Press
  4. Goring, D., "The Generation of Long Waves in the Laboratory", 17th International Conference on Coastal Engineering (1980)
  5. Gu, H. B., "On the Numerical Simulation of a Piston-type Wavemaker", The 21st International Offshore and Polar Engineering Conference (2011)
  6. T.S. Jang, "Pseudo-parameter Iteration Method (PIM): A semi-analytic solution procedure for nonlinear problems", Communications in Nonlinear Science and Numerical Simulation, 97, pp.105733~ (2021), Elsevier BV[DOI]
  7. T.S. Jang, "New nonlinear theory for a piston-type wavemaker: The classical Boussinesq equations", Applied Mathematical Modelling, 91, pp.43~57 (2021), Elsevier BV[DOI]
  8. S. W. Joo, "An analysis of the initial-value wavemaker problem", Journal of Fluid Mechanics, 214, pp.161~183 (1990), Cambridge University Press (CUP)[DOI]
  9. W.C. Koo, "Numerical simulation of nonlinear wave and force generated by a wedge-shape wave maker", Ocean Engineering, 33(8-9), pp.983~1006 (2006), Elsevier BV[DOI]
  10. John Miles, "On the initial-value problem for a wavemaker", Journal of Fluid Mechanics, 229, pp.580~601 (1991), Cambridge University Press (CUP)[DOI]
  11. Schmitt, P., "A review of wave makers for 3D numerical simulations", Marine 2015 VI International Conference on Computational Methods in Marine Engineering (2015)
  12. Bin Sun, "A simplified method and numerical simulation for wedge-shaped plunger wavemaker", Ocean Engineering, 241, pp.110023~ (2021), Elsevier BV[DOI]
  13. Whitham, G. B., "Linear and Nonlinear Waves" (1974), John Wiley & Sons, Inc
  14. Christian Windt, "On the Assessment of Numerical Wave Makers in CFD Simulations", Journal of Marine Science and Engineering, 7(2), pp.47~ (2019), MDPI AG[DOI]

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