Constructing the body source for high-order lattice Boltzmann method
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909392836755456 |
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| author | Li, Shunyang Wan, Li Gui, Nan Yang, Xingtuan Tu, Jiyuan Jiang, Shengyao |
| author_facet | Li, Shunyang Wan, Li Gui, Nan Yang, Xingtuan Tu, Jiyuan Jiang, Shengyao |
| contents | This paper presents a novel strategy for constructing body source terms in the high-order lattice Boltzmann method (LBM), designed to efficiently introduce various physical phenomena by modifying the non-equilibrium distribution function. The source term, expressed as a Hermite polynomial, provides a flexible framework for simulating complex fluid flows. Three typical source terms are given: a body force source for gravity-driven flows, a thermal dissipation source for controlling the Prandtl number, and a pressure tensor source for modeling multiphase flows. Chapman-Enskog analysis confirms that the source terms recover the expected macroscopic equations. Notably, the proposed strategy eliminates the need for explicit construction of the collision operator, a challenge in conventional approaches for handling diverse physical scenarios. Furthermore, the method is compatible with the traditional BGK model, ensuring its applicability to various high-order lattices. The model's accuracy and versatility are validated through a series of benchmark tests, showing excellent agreement with existing literature results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructing the body source for high-order lattice Boltzmann method Li, Shunyang Wan, Li Gui, Nan Yang, Xingtuan Tu, Jiyuan Jiang, Shengyao Fluid Dynamics This paper presents a novel strategy for constructing body source terms in the high-order lattice Boltzmann method (LBM), designed to efficiently introduce various physical phenomena by modifying the non-equilibrium distribution function. The source term, expressed as a Hermite polynomial, provides a flexible framework for simulating complex fluid flows. Three typical source terms are given: a body force source for gravity-driven flows, a thermal dissipation source for controlling the Prandtl number, and a pressure tensor source for modeling multiphase flows. Chapman-Enskog analysis confirms that the source terms recover the expected macroscopic equations. Notably, the proposed strategy eliminates the need for explicit construction of the collision operator, a challenge in conventional approaches for handling diverse physical scenarios. Furthermore, the method is compatible with the traditional BGK model, ensuring its applicability to various high-order lattices. The model's accuracy and versatility are validated through a series of benchmark tests, showing excellent agreement with existing literature results. |
| title | Constructing the body source for high-order lattice Boltzmann method |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2411.10751 |