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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.20676 |
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| _version_ | 1866914217925279744 |
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| author | Mishra, Rishabh |
| author_facet | Mishra, Rishabh |
| contents | This technical note addresses the challenge of accurate turbulence characterization using robust, bandwidth-limited sensors which fail to resolve the high-wavenumber dissipation range. To correct the resulting underestimation of turbulent kinetic energy (TKE), a novel analytical spectral model is derived from a variational principle governing cascade resistance, yielding a Ginzburg-Landau domain wall solution. Unlike classical asymptotic decay formulations such as the Pao or Pope models, the proposed formulation features bounded spectral support with a hard energetic cutoff at the Kolmogorov wavenumber ($k_η$) and requires no adjustable parameters beyond the Kolmogorov constant ($C_K$). Validation against high-Reynolds-number experimental data confirms that the model accurately captures the spectral rolloff and achieves superior TKE recovery, restoring over 98\% of the variance from spectra truncated as early as $kη=0.15$, thereby offering a robust tool for industrial and aeroacoustic flow diagnostics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20676 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral Reconstruction for Under-Resolved Turbulence Measurements Using a Variational Cutoff Dissipation Model Mishra, Rishabh Fluid Dynamics This technical note addresses the challenge of accurate turbulence characterization using robust, bandwidth-limited sensors which fail to resolve the high-wavenumber dissipation range. To correct the resulting underestimation of turbulent kinetic energy (TKE), a novel analytical spectral model is derived from a variational principle governing cascade resistance, yielding a Ginzburg-Landau domain wall solution. Unlike classical asymptotic decay formulations such as the Pao or Pope models, the proposed formulation features bounded spectral support with a hard energetic cutoff at the Kolmogorov wavenumber ($k_η$) and requires no adjustable parameters beyond the Kolmogorov constant ($C_K$). Validation against high-Reynolds-number experimental data confirms that the model accurately captures the spectral rolloff and achieves superior TKE recovery, restoring over 98\% of the variance from spectra truncated as early as $kη=0.15$, thereby offering a robust tool for industrial and aeroacoustic flow diagnostics. |
| title | Spectral Reconstruction for Under-Resolved Turbulence Measurements Using a Variational Cutoff Dissipation Model |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2512.20676 |