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Physical Sciences › Engineering › Computational Mechanics
Grid-point and time-step requirements for direct numerical simulation and large-eddy simulation
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Conflicts of Interest
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Paper Summary
Paperzilla title
Less Grid Points, More Science: Optimizing DNS & LES for Turbulent Boundary Layers
This study finds that the grid-point requirement for DNS of a spatially developing turbulent boundary layer is N ~ Re^2.05, less than previously thought. It also estimates time-step requirements for DNS and LES, suggesting that wall-modeled LES becomes increasingly more cost-efficient than wall-resolved LES and DNS as Reynolds number increases.
Possible Conflicts of Interest
None identified
Identified Weaknesses
Reliance on Prior Work and Nested Grids
The estimates for DNS grid requirements are slightly different from those in Choi & Moin (2012) due to the use of nested grids in all three Cartesian directions. The estimates for WMLES are based on prior work and may not be completely accurate.
Limited Scope of Time-Step Analysis
The authors assume the use of semi-implicit codes for time-step estimation, which may not be universally applicable. The discussion of explicit treatment of viscous terms lacks detail.
Simplification of xo/Lx
The simplification of xo/Lx to a constant may not hold true for all flow scenarios, thus affecting the accuracy of time-step estimates.
Simplified Cost Analysis
The discussion of the computational cost is limited to back-of-the-envelope estimates and does not consider real-world performance on various hardware architectures.
Rating Explanation
This paper revisits prior estimates for grid-point requirements in DNS and LES of turbulent boundary layers, deriving more general estimates and providing a useful framework for optimization. The methodology is sound, but the reliance on certain assumptions and simplifications limits the broader applicability. Overall, a strong contribution to the field, warranting a rating of 4.
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File Information
Original Title:
Grid-point and time-step requirements for direct numerical simulation and large-eddy simulation
File Name:
2010.15307.pdf
[download]
File Size:
0.58 MB
Uploaded:
July 14, 2025 at 06:54 AM
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