Author(s): L. W. Tan; V. H. Chu

Linked Author(s): Vincent H. Chu

Keywords: No Keywords

Abstract: The numerical challenge in the simulations of the wave overtopping a dike is the tracking of the moving shoreline. Velocity peaks as depth vanishes to zero across the wet-and-dry interface. Frontal treatment is required at the shoreline for most of the models based on the finite-volume method. Flux limiters have been used to control the spurious numerical oscillations to prevent the occurence of negative water depth and the subsequent breakdown of the numerical computation. In this paper, the wave runup and overtopping a dike are simulated using a Lagrangian Blocks on Eulerian Mesh (LBEM) method, introduced as an alternative to the finite volume method. Using the “blocks” as the computational elements, discontinuities in depth and velocity are captured by the method without using a separate model for the wave front. A series of simulations are carried out by the LBEM method. The results for the wave runup are verified by the nonlinear theory, the finite-difference method and the experiment data over a wide range of beach slope and wave amplitude to depth ratio. The results for the wave overtopping a dike has further demonstrated the versatility of the block method for practical applications.

DOI:

Year: 2009