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Peer-Review Record

Substructure-Based Topology Optimization for Symmetric Hierarchical Lattice Structures

Symmetry 2020, 12(4), 678; https://doi.org/10.3390/sym12040678
by Zijun Wu 1 and Renbin Xiao 2,*
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Symmetry 2020, 12(4), 678; https://doi.org/10.3390/sym12040678
Submission received: 6 March 2020 / Revised: 9 April 2020 / Accepted: 9 April 2020 / Published: 24 April 2020

Round 1

Reviewer 1 Report

The paper "Substructure based topology optimization for symmetric hierarchical lattice structures" presents some optimization for lattice geometries.

The paper is well structured and it is easy to follow.

The two most important weaknesses that I see are:

  • It is not very clear the impact of the study carried out. For instance, it is not clear when it is possible to stop refining the meshing. Is it possible to do that automatically (auto-tuned)? Is it possible to know that in advance? What is the overhead of increasing the resolution in terms of complexity (number of operations) and computational cost?
  • The authors don't mention any work about Lattice-Boltzmann Method (LBM). This is a widely used and popular method for Computational Fluid Dynamics. Many of the ideas presented in the paper have been adapted and used on LBM. I think that it is important to mention this into the introduction or state of the art section. Next I include some references where different optimizations on LBM resolution were carried out:
    • A Non-uniform Staggered Cartesian Grid Approach for Lattice-boltzmann Method. ICCS 2015: 296-305
    • Multi-domain Grid Refinement for Lattice-Boltzmann Simulations on Heterogeneous Platforms. CSE 2015: 1-8

Minor review:

The English could be better, there are some sections which are difficult to understand

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

The paper is well written and contributions are clear. Despite the authors report interesting results relying on a cubic spline interpolation of the stiffness matrix it would have been interesting to provide with comparisons with previous method explicitely highlighting the advantage of the proposed method. Furtheremore the choise of bicubic b-spline should have been discussed thoroughly as it remains an interpolation scheme.

 

In its current state I would recommand to accept the paper providing aforemention points are detailed in the final submission and the paper is polished more particularly to provide with detailed explanation regarding mathematical term used throughout the paper.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

The authors have included most the comments in the new version of the paper.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

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