Abstract
The propagation on submerged structures of solitary wave, as a typical nonlinear wave, has guiding significance for the design and operation of coastal engineering. This paper presents a numerical model based on Navier-Stokes equations to study the interaction of the solitary wave with a submerged semicircular cylinder. A multiphase method is utilized to deal with water and air phase. The model uses the CIP (Constrained Interpolation Profile) method to solve the convection term of the Navier-Stokes equations and the THINC (Tangent of Hyperbola for Interface Capturing) scheme to capture the free surface. Three representative cases different in relative solitary wave height and structure size are simulated and analyzed by this model. By comparing the surface elevations at wave gauges with the experimental data and the documented numerical results, the present model is verified. Then, the wave pressure field around the submerged semicircular cylinder is presented and analyzed. At last, the velocity and vorticity fields are demonstrated to elucidate the characteristics of wave breaking, flow separation, and vortex generation and evolution during the wave-structure interaction. This work presents the fact that this numerical model combining the CIP and THINC methods has the ability to give a comprehensive comprehension of the flow around the structure during the nonlinear interaction of the solitary wave with a submerged structure.
Highlights
The interaction between waves and obstacles has an important impact on the safety and stability of coastal structures
Great progress had been made in the above researches, but most of them focused on the wave forces, reflection, and transmission coefficients
This work is an extension of the numerical model based on Constrained Interpolation Profile (CIP) and Tangent of Hyperbola for Interface Capturing (THINC) methods to the interaction of a solitary wave interaction with a submerged semicircular cylinder
Summary
The interaction between waves and obstacles has an important impact on the safety and stability of coastal structures. Cooker et al [6] studied this problem extensively through experiments and a numerical model based on a boundary-integral equation Their calculations failed to confirm the flow separation behind the cylinder and could not continue when the surface became very steep. Kasem and Sasaki [14, 15] used Weighted Essentially Nonoscillatory (WENO) and level set methods to simulate the interaction of solitary waves with rectangular and semicircular submerged obstacles They revealed various features including the separation vortices, large free surface deformations, and flow fields. This work is an extension of the numerical model based on CIP and THINC methods to the interaction of a solitary wave interaction with a submerged semicircular cylinder.
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