Abstract

A new methodology is proposed for the generation of breaking focused waves in computational fluid dynamics (CFD) simulations. The application of the methodology is illustrated for a numerical flume with a piston-type wavemaker built in the CFD model olaFlow. Accurate control over the spectral characteristics of the wave group near the inlet and the location of focus/breaking are achieved through empirical corrections in the input signal. Known issues related to the spatial and temporal downshift of the focal location for focusing wave groups are overcome. Focused wave groups are produced with a first- and second order-paddle motion, and the propagation of free and bound waves is validated against the experimental results. A very good overall degree of accordance is reported, which denotes that the proposed methodology can produce waves breaking at a focused location.

Highlights

  • The constructive interference at a certain point in space and time of numerous wave components of varying frequencies and amplitudes results in the generation of a large focused wave

  • Focused wave groups that were smaller in amplitude were generated using linear theory, while for the steepest, but still nonbreaking, waves, a Stokes wave formed by the second-order interaction of the wave components considered was used as input at the source surface at every time step

  • The actual focal position and time were confirmed to differ from predictions, with increasing differences for increased input wave amplitudes

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Summary

Introduction

The constructive interference at a certain point in space and time of numerous wave components of varying frequencies and amplitudes results in the generation of a large focused wave. When simulating extreme hydrodynamic conditions in numerical tanks, such a breaking wave possesses comparative advantages. It is significantly higher and steeper than any other wave within the propagating wave group, it occurs at a predefined point in space and time, and it is produced by a transient wave group with a short duration instead of, e.g., a long irregular wave sequence. To achieve the interaction of the steepest nonbreaking wave with a cylinder and compare CFD simulations with experimental results Paulsen et al (2014) set the position of the focus behind the structure

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