The Method of Fundamental Solutions for Three-Dimensional Nonlinear Free Surface Flows Using the Iterative Scheme

Round 1

Reviewer 1 Report

This contribution extends upon the authors prior work using fundamental solutions to solve free surface problems. Here, the authors make a somewhat obvious adjustment-incorporating relation method. The authors demonstrably show that this improves the accuracy and reliability for solving three-dimensional free surface with nonlinear boundary conditions. The paper is well written.

Author Response

The responses of author to the reviewer 's comments are as the follows.

Reviewer 1

This contribution extends upon the authors prior work using fundamental solutions to solve free surface problems. Here, the authors make a somewhat obvious adjustment-incorporating relation method. The authors demonstrably show that this improves the accuracy and reliability for solving three-dimensional free surface with nonlinear boundary conditions. The paper is well written.

Response:

Thank you so much for this invaluable comment. The authors are grateful to the reviewer for his/her appreciation of the value of our works.

Author Response File: Author Response.pdf

Reviewer 2 Report

This is a very interesting paper in which authors present the method for solving three nonlinear surfaces, which is a main problem in the literature. Paper is well structures and as far as this reviewer is concerned is correct.

Before accepting the paper this reviewer recommends the following:

Try to add to the conclusions section a more explicative discussion, since in its present form is too brief.

Try to conclude in a deeper way.

Revise the whole paper since there are some misprints.

Author Response

The responses of author to the reviewer 's comments are as the follows.

Reviewer 2

This is a very interesting paper in which authors present the method for solving three nonlinear surfaces, which is a main problem in the literature. Paper is well structures and as far as this reviewer is concerned is correct. Before accepting the paper this reviewer recommends the following:

Point 1: Try to add to the conclusions section a more explicative discussion, since in its present form is too brief.

Response 1:

Thank you so much for this invaluable comment. We have carefully added more discussions to enhance the conclusion in page 17 (line 336 to 345).

Point 2: Try to conclude in a deeper way.

Response 2:

Thank you so much for this invaluable comment. As mentioned above, the authors have made an effort to enhance the conclusion. A comprehensive discussion for the conclusion has been provided in the revised manuscript in page 17 (line 336 to 345).

Point 3: Revise the whole paper since there are some misprints.

Response 3:

Thank you so much for this invaluable comment. The authors have carefully reviewed the whole manuscript again. The misprints have been found and revised as shown in the following list.

page 1 (line 34, 40 and 43)

page 2 (line 81)

page 3 (line 95)

page 4 (line 125)

page 9 (line 208)

page 10 (line 217)

page 12 (line 247)

Author Response File: Author Response.pdf