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Numerical Modeling of Wave Evolution and Runup in Shallow Water

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Abstract

Based on the Navier-Stokes (N-S) equations for viscous, incompressible fluid and the VOF method, 2-D and 3-D Numerical Wave Tanks (NWT) for nonlinear shallow water waves are built. The dynamic mesh technique is applied, which can save computational resources dramatically for the simulation of solitary wave propagating at a constant depth. Higher order approximation for cnoidal wave is employed to generate high quality waves. Shoaling and breaking of solitary waves over different slopes are simulated and analyzed systematically. Wave runup on structures is also investigated. The results agree very well with experimental data or analytical solutions.

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Authors and Affiliations

  1. Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou, 510275, China

    Zhi Dong & Jie-min Zhan

  2. Guangdong Province Key Laboratory of Coastal Ocean Engineering, Sun Yat-sen University, Guangzhou, 510275, China

    Zhi Dong & Jie-min Zhan

Authors
  1. Zhi Dong
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  2. Jie-min Zhan
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Correspondence to Jie-min Zhan.

Additional information

Biography: DONG Zhi (1982-), Male, Ph. D.

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Dong, Z., Zhan, Jm. Numerical Modeling of Wave Evolution and Runup in Shallow Water. J Hydrodyn 21, 731–738 (2009). https://doi.org/10.1016/S1001-6058(08)60207-3

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  • DOI: https://doi.org/10.1016/S1001-6058(08)60207-3

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