A thermodynamics-based turbulence model for isothermal compressible flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909594758938624 |
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| author | Ma, Zhiting Yong, Wen-An Zhu, Yi |
| author_facet | Ma, Zhiting Yong, Wen-An Zhu, Yi |
| contents | This study presents a new turbulence model for isothermal compressible flows. The model is derived by combining the Favre averaging and the Conservation-dissipation formalism -- a newly developed thermodynamics theory. The latter provides a systematic methodology to construct closure relations that intrinsically satisfy the first and second laws of thermodynamics. The new model is a hyperbolic system of first-order partial differential equations. It has a number of numerical advantages, and addresses some drawbacks of classical turbulence models by resolving the non-physical infinite information propagation paradox of the parabolic-type models and accurately capturing the interaction between compressibility and turbulence dissipation. Furthermore, we show the compatibility of the proposed model with Prandtl's one-equation model for incompressible flows by deliberately rescaling the model and studying its low Mach number limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_18755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A thermodynamics-based turbulence model for isothermal compressible flows Ma, Zhiting Yong, Wen-An Zhu, Yi Analysis of PDEs Fluid Dynamics This study presents a new turbulence model for isothermal compressible flows. The model is derived by combining the Favre averaging and the Conservation-dissipation formalism -- a newly developed thermodynamics theory. The latter provides a systematic methodology to construct closure relations that intrinsically satisfy the first and second laws of thermodynamics. The new model is a hyperbolic system of first-order partial differential equations. It has a number of numerical advantages, and addresses some drawbacks of classical turbulence models by resolving the non-physical infinite information propagation paradox of the parabolic-type models and accurately capturing the interaction between compressibility and turbulence dissipation. Furthermore, we show the compatibility of the proposed model with Prandtl's one-equation model for incompressible flows by deliberately rescaling the model and studying its low Mach number limit. |
| title | A thermodynamics-based turbulence model for isothermal compressible flows |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2504.18755 |