Flux Vector Splitting Method of Weakly Compressible Water Navier-Stokes Equation and Its Application
Round 1
Reviewer 1 Report
The manuscript discusses the description of water flows as a highly compressible fluid. Traditionally, an incompressible fluid model is used to study fluid flows. The approach announced in the manuscript is very interesting. It addresses a pressing issue as water is the most commonly used liquid. I am confident that the manuscript can be published after eliminating inaccuracies and clarifying some unclear fragments of the text. 1. It is better to write out the Navier-Stokes equations in full in the title and text. 2. Why do equations (1) contain only two components of the velocity vector?
Author Response
Reply: Thank you for the good advice. According to your suggestion, we write out the Navier-Stokes equation in full in the title and text. The detailed revisions are given on page 1 and page 3. We take the two-dimensional form of N-S equation as an example to show, so the equation contains only two components of the velocity vector, including the x and y direction. For the three-dimensional case, there are three components. We add the three-dimensional N-S equation (1) in the form of tensor, which contains three components of the velocity vector.
Reviewer 2 Report
This paper describes an approach to solve the Navier Stokes equations for water as a weakly compressible fluid. The results look to be acceptable, but the presentation needs a substantial amount of work.
The English in the paper needs a lot of work.
Change N-S in the title to Navier-Stokes as no one is going to know what N-S is.
p. 1. Define what a water hammer is in the Introduction.
p. 2. Middle. I do not know what they mean by indispensable model. This makes no sense.
p. 4. Section 2,2. Remove ‘The scholars’ and just give the names. They also need to give references to the work of the three authors.
Put the simulation parameters in tables rather than in the text. This will make it easier for others to reproduce the work.
Section 3.3 is not a discussion section. It is really part of the Conclusions. Move it to the conclusions or write a true discussion section.
The English needs work.
Author Response
(1) The English in the paper needs a lot of work.
Reply: Thank you for the comment. We carefully improved the English of manuscript.
(2) Change N-S in the title to Navier-Stokes as no one is going to know what N-S is.
Reply: Thank you for the good advice. We changed the N-S in the title to Navier-Stokes according to your suggestion.
(3) p. 1. Define what a water hammer is in the Introduction.
Reply: Thank you for the good advice. We added a detailed description in the Introduction to define the water hammer on page 1.
(4) p. 2. Middle. I do not know what they mean by indispensable model. This makes no sense.
Reply: Thank you for the comment. We revised the expression. In fact, the proposed FVS formula is an important model for the high-accuracy simulation of compressible water flow. Because the high-order method such as WENO method needs the FVS expression. However, the existing FVS formula is mainly suitable for the gas. The present FVS formula is suitable for the water. Therefore, it is believed that the proposed formula is an important model.
(5) p. 4. Section 2,2. Remove ‘The scholars’ and just give the names. They also need to give references to the work of the three authors.
Reply: Thank you for the good advice. We removed ‘The scholars’ and gave the name. We also added the references on page 5 and page 13.
(6) Put the simulation parameters in tables rather than in the text. This will make it easier for others to reproduce the work.
Reply: Thank you for the good advice. We added two tables on page 7 and page 8 according to your suggestion.
(7) Section 3.3 is not a discussion section. It is really part of the Conclusions. Move it to the conclusions or write a true discussion section.
Reply: Thank you for the good advice. We moved the partial content from section 3.3 to the Conclusion on page 10 and page 11 according to your suggestion.
