Multi-Fidelity Low-Rank Approximations for Uncertainty Quantification of a Supersonic Aircraft Design

Round 1

Reviewer 1 Report

The authors present an interesting study on an important topic. Both the methodology and the application are of great interest. The paper is well written and the results well presented. I recommend the paper for publication.

Author Response

The authors would like to thank the area editor and the reviewers for their kindness to evaluate the manuscript and for their invaluable comments. We have carefully addressed all the comments and questions. The corresponding changes are summarized in our responses in the following sections and refinements are made with highlight text in the revised manuscript.

Author Response File: Author Response.pdf

Reviewer 2 Report

The paper is  well written does include original material. Authors have presented significant about data to support their conclusions.  I would like further justification of error functions used and speed up ratios against HF. author should also cite more recent works on optimisation and multi fedility, related also to structural analysis such as the one below an others using Gaussian Processes. There are moe very recent publications in the last two to three years developing Multi F and it is a good opportunity to bring them to the attention of the readers and increase the interest in the current paper. 

Multi-fidelity robust design optimisation for composite structures based on low-fidelity models using successive high-fidelity corrections, Composite Structures 259, 113477, 2021

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  Computational methods in optimization considering uncertainties – an overview

  Comput Methods Appl Mech Eng

  (2008)

Author Response

The authors would like to thank the area editor and the reviewers for their kindness to evaluate the manuscript and for their invaluable comments. We have carefully addressed all the comments and questions. The corresponding changes are summarized in our responses in the following sections and refinements are made with highlight text in the revised manuscript.

Author Response File: Author Response.pdf

Reviewer 3 Report

The authors have proposed multi-fidelity low-rank approximations for the uncertainty quantification of a supersonic aircraft design and provided some comparisons for proving the reliability of their predictions.

The paper is well written and presents some novelty.

However, before publication please take into consideration the following minor comments:

Make a clear statement about the exact developments and extensions provided in the present study compared with the previous standard schemes.  Is the novelty

Explain the main advantages as well as possible disadvantages of the approximations.

Are the included numerical examples enough to prove the effectiveness of the process?

Author Response

The authors would like to thank the area editor and the reviewers for their kindness to evaluate the manuscript and for their invaluable comments. We have carefully addressed all the comments and questions. The corresponding changes are summarized in our responses in the following sections and refinements are made with highlight text in the revised manuscript.

Author Response File: Author Response.pdf