Dear Julien Brondex,

Thank you for submitting your detailed replies to reviewers' reports. Based on reviewers’ constructive assessment, your convincing rebuttals with new simulations, as well as the large volume of requested and proposed modifications, I invite you to submit an updated version of the manuscript for the second round of reviews.

At this point, I do not have much to add to the expert reviews. I do not insist on avoiding passive voice, which is as debatable as the n value, and agree that it is often appropriate. I also find your logic for Section 3 structure satisfactory, and see no need to reiterate classic and well-established equations in the main text.

Best regards,
Evgeny Podolskiy

Dear Julien Brondex,

Thank you very much for resubmitting the updated version of your manuscript. We will contact you after completing the second round of reviews.

Best regards,
Evgeny Podolskiy

Dear Julien Brondex,

We have finally recieved two positive assessments of your revised manuscript, based on which I am pleased to accept it with minor or technical corrections for publication in The Cryosphere. Please update your submission according to the attached referees’ reports and resubmit the final files.

The first Referee was not sure about the necessity of including linear viscous simulations, as they lead to new questions rather than being avoided with a simpler justification. These simulations, however, were requested by the second Referee, who finds that this supplement strengthens the paper, and I also support their inclusion to make use of the work conducted.

Thank you again for all your effort and for submitting your excellent work to the journal!

Sincerely,
Evgeny Podolskiy

Dear Julien Brondex,

Thank you very much for submitting the polished version of your manuscript and addressing the latest comments by the two reviewers. I am pleased to accept the manuscript for publication in The Cryosphere as it is.

Best regards,
Evgeny Podolskiy