arXiv 2602.120932026-02physics.flu-dyn

协变丘-科瓦兹奈分解：在可压缩流中消除热力学歧义

Covariant Chu-Kovasznay Decomposition: Resolving Thermodynamic Ambiguity in Compressible Flows

Chanho Park, Gyeongho Gong, Yeachan Kwak, Seongim Choi

备注：: The authors are withdrawing this manuscript due to fundamental flaws in the underlying acoustic metric framework. The core decomposition strategy is physically inconsistent, as it fails to correctly account for the physical coupling between acoustic, vortical, and entropic modes in the presence of shear and thermal nonuniformities

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AI总结：

本文提出协变丘-科瓦兹奈分解框架，通过有效声学时空表征解决可压缩流中热力学歧义问题，揭示激波-湍流相互作用为近单位ary散射映射，展示熵波动转化为声波的几何蓝移效应。

摘要：

我们建立了协变丘-科瓦兹奈分解（CCKD），一种几何框架，通过在有效声学时空上表征分解来解决可压缩模式内容中的热力学歧义。通过强制协变丘能量规范的正交性，我们证明在理想化的线性、无粘设置中，激波-湍流相互作用通常被视为散射源，实际上是一个受协变丘能量流守恒约束的近单位ary（丘-等距）散射映射。在经典的舒-欧sher问题中，CCKD将激波表征为热声透镜，数学上证明熵波动转化为声波遵循几何蓝移（k_out=Λk_in）效应，类似于引力蓝移。因此，尽管均流在激波处产生熵，但波动映射在保留子空间上是信息保持的；实际的信息损失来自噪声、截断和模型不匹配，而非激波物理。

英文摘要：

We establish the Covariant Chu--Kovasznay Decomposition (CCKD), a geometric framework that resolves thermodynamic ambiguity in compressible mode content by formulating the decomposition on the effective acoustic spacetime. Enforcing orthogonality in the covariant Chu energy norm, we show that shock--turbulence interaction, often treated as a scattering source, is, in the idealized linear, inviscid setting, a near-unitary (Chu-isometric) scattering map constrained by conservation of covariant Chu-energy flux. In the canonical Shu-Osher problem, CCKD characterizes the shock as a thermo-acoustic lens, mathematically demonstrating that the transfer of entropy fluctuations into sound follows a geometric blue-shift ($k_{\mathrm{out}}=Λk_{\mathrm{in}}$) analogous to gravitational blue-shift. Thus, while the mean flow produces entropy across the shock, the fluctuation mapping is information-preserving on the retained subspace; practical information loss arises from noise, truncation, and model mismatch, not shock physics.

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