Simulation Data and Code for: Anisotropic Regularization of Incompressible Flow via Directional Momentum Redistribution
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This version substantially expands the original DMR Taylor--Green vortex dataset supporting the manuscript: “Anisotropic Regularization of Incompressible Flow via Directional Momentum Redistribution”. The updated dataset includes: • Grid-robustness studies at 32^3, 48^3, and 64^3 resolutions • Enstrophy-production diagnostics comparing Navier--Stokes and DMR dynamics • Shell-averaged kinetic-energy spectra with \(k^{-5/3}\) reference scaling • Spatial anisotropy-localization diagnostics • Publication-ready figures used in the revised manuscript • Updated GPU-accelerated pseudo-spectral simulation code • Expanded README documentation and reproducibility instructions Additional exploratory 128^3 spectral data have also been included. The revised dataset provides stronger numerical evidence for the strain--anisotropy feedback mechanism underlying the DMR framework, including enhanced localized dissipation, suppression of enstrophy growth, and attenuation of high-wavenumber energy transfer relative to classical incompressible Navier--Stokes dynamics.
本版本对原始DMR泰勒-格林涡旋数据集进行了大幅扩充,以支撑论文《基于定向动量再分布的不可压缩流动各向异性正则化》(Anisotropic Regularization of Incompressible Flow via Directional Momentum Redistribution)的相关研究。 更新后的数据集包含以下内容: • 针对32³、48³及64³分辨率开展的网格鲁棒性研究 • 对比纳维-斯托克斯(Navier-Stokes)与DMR动力学的涡拟能产生诊断分析 • 带有k^(-5/3)参考标度的壳平均动能谱 • 空间各向异性局域化诊断分析 • 修订版论文中已适配出版格式的图表 • 经GPU加速的伪谱仿真更新代码 • 扩充后的README文档与可复现性操作指南 此外还新增了探索性的128³谱数据。 本次修订后的数据集为DMR框架背后的应变-各向异性反馈机制提供了更为有力的数值证据,相较于经典不可压缩纳维-斯托克斯动力学,该数据集展现出增强的局域耗散、涡拟能增长抑制以及高波数能量转移衰减等特性。



