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Hydrodynamic-driven morphogenesis of karst draperies: spatio-temporal analysis of the two-dimensional impulse response – CORRIGENDUM

Published online by Cambridge University Press:  17 September 2021

Abstract

Type
Corrigendum
Copyright
© The Author(s), 2021. Published by Cambridge University Press

We found an error in (2.4) of Ledda et al. (Reference Ledda, Balestra, Lerisson, Scheid, Wyart and Gallaire2021). The correct non-dimensional expression for the curvature of the free surface is

\[ \kappa=\boldsymbol{\nabla } \boldsymbol{\cdot} \left(\frac{\nabla(h+h^0)}{\sqrt{1+\left(\dfrac{h_N}{l_c^*}\right)^2\vert\nabla(h+h^0)\vert^2}}\right). \]

While this error does not bear any consequence in the linear analysis at the core of this paper, the value $h_{N}/l_{c}^{*}=1$ has to be specified in figures 15, 16, 17, 21, without altering the discussion.

Funding

We acknowledge the Swiss National Science Foundation under grant 200021_178971.

Declaration of interests

The authors report no conflict of interest.

References

REFERENCES

Ledda, P.G., Balestra, G., Lerisson, G., Scheid, B., Wyart, M. & Gallaire, F. 2021 Hydrodynamic-driven morphogenesis of karst draperies: spatio-temporal analysis of the two-dimensional impulse response. J. Fluid Mech. 910, A53.CrossRefGoogle Scholar