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Navier Stokes model of solitary wave collision

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  • Lohrasbi, Alireza
  • Pirooz, Moharram D.

Abstract

Wave collision and its interaction characteristics is one of the important challenges in coastal engineering. This article concerns the collision of solitary waves over a horizontal bottom considering unsteady, incompressible viscous flow with free surface. The method solves the two dimensional Naiver–Stokes equations for conservation of momentum, continuity equation, and full nonlinear kinematic free-surface equation for Newtonian fluids, as the governing equations in a vertical plan. A mapping was developed to trace the deformed free surface encountered during wave propagation, transforms and interaction by transferring the governing equations from the physical domain to a computational domain. Also a numerical scheme is developed using finite element modeling technique in order to predict the solitary wave collision. Consequently results compared with other researches and show the inelastic behavior of solitary wave collision.

Suggested Citation

  • Lohrasbi, Alireza & Pirooz, Moharram D., 2014. "Navier Stokes model of solitary wave collision," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 139-150.
    • Handle: RePEc:eee:chsofr:v:68:y:2014:i:c:p:139-150
    DOI: 10.1016/j.chaos.2014.08.003
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