A unified gas-kinetic framework from Boltzmann to Navier-Stokes scales
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915811617144832 |
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| author | Guo, Zhaoli Xu, Kun Zhu, Yajun |
| author_facet | Guo, Zhaoli Xu, Kun Zhu, Yajun |
| contents | Neither molecular kinetics nor continuum fluid dynamics alone is adequate to describe multiscale gas flows across different regimes. Bridging these regimes within a single self-consistent framework has long been a central challenge in fluid mechanics. We propose a unified gas kinetic framework that classifies molecules by their collision histories over an observation timescale. This formulation recovers the Boltzmann and Navier-Stokes equations as limiting cases, providing a transparent connection between kinetic and hydrodynamic descriptions. Beyond practical advantages for multiscale modeling, this framework offers a new perspective on Hilbert's sixth problem by linking microscopic dynamics to continuum mechanics through a tunable observational scale. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07189 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A unified gas-kinetic framework from Boltzmann to Navier-Stokes scales Guo, Zhaoli Xu, Kun Zhu, Yajun Fluid Dynamics Computational Physics Neither molecular kinetics nor continuum fluid dynamics alone is adequate to describe multiscale gas flows across different regimes. Bridging these regimes within a single self-consistent framework has long been a central challenge in fluid mechanics. We propose a unified gas kinetic framework that classifies molecules by their collision histories over an observation timescale. This formulation recovers the Boltzmann and Navier-Stokes equations as limiting cases, providing a transparent connection between kinetic and hydrodynamic descriptions. Beyond practical advantages for multiscale modeling, this framework offers a new perspective on Hilbert's sixth problem by linking microscopic dynamics to continuum mechanics through a tunable observational scale. |
| title | A unified gas-kinetic framework from Boltzmann to Navier-Stokes scales |
| topic | Fluid Dynamics Computational Physics |
| url | https://arxiv.org/abs/2508.07189 |