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首页> 外文期刊>Journal of Computational Physics >Momentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods
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Momentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods

机译:晶格玻尔兹曼方法中宏观梯度边界条件的动量传递校正

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摘要

The boundary conditions used to represent macroscopic-gradient-related effects in arbitrary geometries with the lattice Boltzmann methods need a trade-off between the complexity of the scheme, due to the loss of localness and the difficulties for directly applying link-based approaches, and the accuracy obtained. A generalization of the momentum transfer boundary condition is presented, in which the arbitrary location of the boundary is addressed with link-wise interpolation (used for Dirichlet conditions) and the macroscopic gradient is taken into account with a finite-difference scheme. This leads to a stable approach for arbitrary geometries that can be used to impose Neumann and Robin boundary conditions. The proposal is validated for stress boundary conditions at walls. Two-dimensional steady and unsteady configurations are used as test case: partial-slip flow between two infinite plates and the slip flow past a circular cylinder.
机译:用格子Boltzmann方法表示任意几何形状中与宏观梯度相关的效应的边界条件需要在方案的复杂性(由于局部性的损失)和直接应用基于链接的方法的困难之间进行权衡,并且获得的精度。给出了动量传递边界条件的一般化,其中边界的任意位置通过链接式插值法(用于狄利克雷条件)来解决,而宏观梯度则通过有限差分方案加以考虑。这导致可用于施加诺伊曼和罗宾边界条件的任意几何形状的稳定方法。该建议书已针对墙体的应力边界条件进行了验证。二维稳态和非稳态配置用作测试用例:两个无限板之间的部分滑移流和通过圆柱的滑流。

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