Correction: Molines, J., et al. Influence of Parapets on Wave Overtopping on Mound Breakwaters with Crown Walls. Sustainability 2019, 11, 7109

Jorge Molines; Arnau Bayon; M. Esther Gómez-Martín; Josep R. Medina

doi:10.3390/su12104017

The authors would like to make the following corrections about the published paper [1]. The changes are as follows:

(1): Replacing the Equation (3):

$\frac{\partial \bar{u}}{\partial t} + \bar{u} \cdot \nabla \bar{u} = - \frac{1}{ρ} \nabla p + υ \nabla^{2} \bar{u} + \bar{f_{b}} + I,$

(3)

with

$\frac{\partial}{\partial t} (ρ \bar{u}) + \nabla \cdot (\frac{1}{n} ρ \bar{u} \times \bar{u}) = - n \nabla p + \nabla (µ \nabla \cdot \bar{u}) + n ρ \bar{f_{b}} - I,$

(3)
(2): Replacing the Equation (4):

$\frac{\partial \bar{u}}{\partial t} + \bar{u} \cdot \nabla \bar{u} = - \frac{1}{ρ} \nabla p + υ \nabla^{2} \bar{u} + \bar{f_{b}} + I,$

(4)

with

$I = A \bar{u} + B \bar{u} | \bar{u} | + c \frac{\partial}{\partial t} (ρ \bar{u}),$

(4)
(3): Replacing the Equation (5):

$\frac{\partial \bar{u}}{\partial t} + \bar{u} \cdot \nabla \bar{u} = - \frac{1}{ρ} \nabla p + υ \nabla^{2} \bar{u} + \bar{f_{b}} + I,$

(5)

with

$A = α \frac{{(1 - n)}^{3}}{n^{2}} \frac{μ}{D_{50}^{2}},$

(5)
(4): Replacing the Equation (7):

$\frac{\partial F}{\partial t} + \nabla \cdot (\bar{u} F) + \nabla {\bar{u}}_{c} F (1 - F) = 0,$

(7)

with

$\frac{\partial F}{\partial t} + \nabla \cdot (\frac{1}{n} \bar{u} F) + \nabla \cdot (\frac{1}{n} {\bar{u}}_{c}) F (1 - F) = 0,$

(7)

The authors and the Editorial Office would like to apologize for any inconvenience caused to the readers by these changes. The change does not affect the scientific results. The manuscript will be updated and the original will remain online on the article webpage.

References

Molines, J.; Bayon, A.; Gómez-Martín, M.E.; Medina, J.R. Influence of Parapets on Wave Overtopping on Mound Breakwaters with Crown Walls. Sustainability 2019, 11, 7109. [Google Scholar] [CrossRef]

© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

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