Abstract
This paper introduces a numerical model for studying the evolution of a periodic wave train, shoaling, and breaking in surf zone. The model can solve the Reynolds averaged Navier-Stokes (RANS) equations for a mean flow, and thek-ε equations for turbulence kinetic energyk and turbulence dissipation rate ε. To track a free surface, the volume of fluid (VOF) function, satisfying the advection equation was introduced. In the numerical treatment, third-order upwind difference scheme was applied to the convection terms of the RANS equations in order to reduce the effect of numerical viscosity. The shoaling and breaking processes of a periodic wave train on gently sloping beaches were modeled. The computed wave heights of a sloping beach and the distribution of breaking wave pressure on a vertical wall were compared with laboratory data.
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Supported by the High-Tech Research and Development Program of China (863 Program. No. 2001AA633070; 2003AA604040), and the National Natural Science Foundation of China (No. 40476015).
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Peng, Q., Yijun, H. A VOF-based numerical model for breaking waves in surf zone. Chin. J. Ocean. Limnol. 24, 57–64 (2006). https://doi.org/10.1007/BF02842775
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DOI: https://doi.org/10.1007/BF02842775