Abstract

In this work, internal wave generation techniques are developed in an open source non-hydrostatic wave model (Simulating WAves till SHore, SWASH) for accurate generation of regular and irregular long-crested waves. Two different internal wave generation techniques are examined: a source term addition method where additional surface elevation is added to the calculated surface elevation in a specific location in the domain and a spatially distributed source function where a spatially distributed mass is added in the continuity equation. These internal wave generation techniques in combination with numerical wave absorbing sponge layers are proposed as an alternative to the weakly reflective wave generation boundary to avoid re-reflections in case of dispersive and directional waves. The implemented techniques are validated against analytical solutions and experimental data including water surface elevations, orbital velocities, frequency spectra and wave heights. The numerical results show a very good agreement with the analytical solution and the experimental data indicating that SWASH with the addition of the proposed internal wave generation technique can be used to study coastal areas and wave energy converter (WEC) farms even under highly dispersive and directional waves without any spurious reflection from the wave generator.

Highlights

  • Numerical wave propagation models are commonly used as engineering tools for the study of wave transformation in coastal areas

  • A source term addition method and a spatially distributed source function for internal wave generation are implemented in the non-hydrostatic model SWASH, in order accurately generate regular and irregular long-crested waves

  • In the source term addition method proposed by Reference [21], additional surface elevation η∗ is of dimensionless kd assurface a function of number of vertical layers and line the for addedTable with 1

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Summary

Introduction

Numerical wave propagation models are commonly used as engineering tools for the study of wave transformation in coastal areas. Models based on the non-hydrostatic approach [4,5,6] can resolve the vertical flow structure and can improve their frequency dispersion by using additional layers rather than increasing the order of derivatives as in the case of Boussinesq-type models. Wei et al [25] found that the source term addition method in a single source line may cause high frequency noise in case of non-staggered computational grid To deal with this problem, Wei et al [25] derived a spatially distributed (Gaussian shape) source function for internal wave generation, where a mass source is added in the continuity equation. A source term addition method and a spatially distributed source function for internal wave generation are implemented in the non-hydrostatic model SWASH, in order accurately generate regular and irregular long-crested waves. The last sections provide conclusions and a summary discussion of the present study

Mathematical Formulation
Wave Generation in SWASH
Internal Wave Generation
Energy Velocity
Source Term Addition Method
Spatially
Model Tests
Regular Waves
Irregular
Oblique
Wave Propagation over a Shoal in a Three-Dimensional Numerical Basin
Findings
Conclusions
Full Text
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