# Realistic wave generation and active wave absorption for Navier–Stokes models: Application to OpenFOAM®

##### Citations

268 citations

### Cites background or methods from "Realistic wave generation and activ..."

...The generation procedure is the one explained in the part I of this paper (Higuera et al., 2013-this issue)....

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...This is one of the advances presented in part I of this paper (Higuera et al., 2013-this issue), without which this simulation could not be so accurate....

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...In conclusion, OpenFOAM® is a promising set of solvers and utilities that can now be used to successfully simulate some of the most relevant cases of coastal engineering, thanks to the boundary conditions and validation presented in the companion paper (Higuera et al., 2013-this issue)....

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...Some of them were introduced in the first part of this paper (Higuera et al., 2013-this issue), from which Lubin et al. (2003), Li et al. (2004), Wang et al. (2009) or Lara et al. (2012) and del Jesus et al. (2012) are remarked....

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...The specific implementation of such model capabilities is presented in the companion paper (Higuera et al., 2013-this issue)....

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211 citations

### Cites background or methods from "Realistic wave generation and activ..."

...This paper is focused inVolume-averagedReynolds-averagedNavier–Stokes (VARANS) equations Hsu and Liu (2002), but time-averaged volume-averaged methods also exist, as presented in de Lemos (2006)....

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...Some examples of CFD codes applied to coastal engineering include IH-2VOF Lara et al. (2006), IH-3VOF Lara et al. (2012), COMFLOW Luppes et al. (2010), VOFbreak Troch and De Rouck (1999) or OpenFOAM® Higuera et al. (2013b)....

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...For further reference regarding the governing equations and the solving procedures see Rusche (2002) and Higuera et al. (2013a)....

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...%) reported by Guanche et al. (2009), the boundary conditions presented by Higuera et al. (2013a) have been used to generate and absorb waves....

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...From the results of the first gauges, it can be seen that thewave generation and absorption boundary conditions presented in Higuera et al.'s (2013a) work adequately, as they manage to generate the target wave while absorbing the reflected energy, as the AWACS does in the laboratory....

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175 citations

### Cites background or methods from "Realistic wave generation and activ..."

...(2012) and Higuera et al. (2013). For the model presented in this paper, the volume fraction is determined based on the location of the face center relative to wave elevation η and calculated by equation (7), whereas the volume fraction of the model presented by Jacobsen et al....

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...Higuera et al. (2013) introduces a specific module to replicate laboratory wavemaker velocity profiles....

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...Higuera et al. (2013a, 2013b) have implemented specific boundary conditions for realistic wave generation and active absorption....

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...(2012) and Higuera et al. (2013). For the model presented in this paper, the volume fraction is determined based on the location of the face center relative to wave elevation η and calculated by equation (7), whereas the volume fraction of the model presented by Jacobsen et al. (2012) is specified as Aw/Af, where Aw is the area of the wet sides of the boundary face and Af is the area of the boundary face....

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...(2012) and Higuera et al. (2013). For the model presented in this paper, the volume fraction is determined based on the location of the face center relative to wave elevation η and calculated by equation (7), whereas the volume fraction of the model presented by Jacobsen et al. (2012) is specified as Aw/Af, where Aw is the area of the wet sides of the boundary face and Af is the area of the boundary face. The time series of wave elevation at x =1.0 m from the model presented by Jacobsen et al. (2012) and the model presented in this paper are shown in Figure 1....

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171 citations

163 citations

### Cites methods from "Realistic wave generation and activ..."

...In both cases [24] [20], algorithms for the wave generation and absorption were implemented, resulting in a three-dimensional numerical wave tank....

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##### References

2,339 citations

1,418 citations

### "Realistic wave generation and activ..." refers methods in this paper

...Both algorithms are thoroughly explained and applied for VOF in Jasak (1996). A detailed flow chart, Fig....

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...Both algorithms are thoroughly explained and applied for VOF in Jasak (1996)....

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...Originally the solving algorithm was PISO (pressure implicit with splitting of operators), for a detailed description of the numerical solution of the equations see Kissling et al. (2010). More recent versions of the code have improvements....

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968 citations

### "Realistic wave generation and activ..." refers background in this paper

...For further reference regarding the governing equations see Rusche (2002)....

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852 citations

### "Realistic wave generation and activ..." refers methods in this paper

...Both algorithms are thoroughly explained and applied for VOF in Jasak (1996)....

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712 citations

### "Realistic wave generation and activ..." refers methods in this paper

...Following Mansard and Funke (1980) methodology, the distances between the gauges are calculated based on the wave length in order to obtain a stable solution. The first gauge is always placed at 7.50 m. The distance between the first and second gauges is fixed: X12 1⁄4 L 10 : The distance between the first and third one is bounded: L 6 b X13 b L 3 while X13≠ L 5 and X13≠ 3L 10 : To fulfil these restrictions, X13 1⁄4 L 4 has been chosen. For each of the wave periods there is an associated wave length, calculated using the dispersion relationship. In Table 3 wave lengths and distance between gauges for each wave period are given. All the cases have been simulated for 120 s using 1 core (2.93 GHz). The mean elapsed time is greater than double, compared with the previous case, as larger velocities inherent to the waves are present throughout all the simulation. The simulations were completed in less than 4 h. The reflection analysis is carried out using waveLab® 3 software, using the signal of the 3 gauges as input, and eliminating the first 5 waves to start with a more or less steady state. The calculations of Mansard and Funke (1980) plus an inverse FFT in order to obtain the reflection coefficients in both the frequency and temporal domains are carried out....

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...The calculations of Mansard and Funke (1980) plus an inverse FFT in order to obtain the reflection coefficients in both the frequency and temporal domains are carried out....

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...Following Mansard and Funke (1980) methodology, the distances between the gauges are calculated based on the wave length in order to obtain a stable solution....

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