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Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities

机译:腔中自然对流的格子Boltzmann模拟的基于矩的边界条件

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We study a multiple relaxation time lattice Boltzmann model for natural convection with moment-based boundary conditions. The unknown primary variables of the algorithm at a boundary are found by imposing conditions directly upon hydrodynamic moments, which are then translated into conditions for the discrete velocity distribution functions. The method is formulated so that it is consistent with the second order implementation of the discrete velocity Boltzmann equations for fluid flow and temperature. Natural convection in square cavities is studied for Rayleigh numbers ranging from 10~3 to 10~8. An excellent agreement with benchmark data is observed and the flow fields are shown to converge with second order accuracy.
机译:我们研究了基于矩边界条件的自然对流的多重弛豫时间格子Boltzmann模型。通过将条件直接施加于流体动量矩上,可以找到该算法在边界处的未知主要变量,然后将其转换为离散速度分布函数的条件。制定该方法,使其与流体流动和温度的离散速度Boltzmann方程的二阶实现相一致。研究了方腔中自然对流的瑞利数在10〜3到10〜8之间。观察到与基准数据的极佳一致性,流场显示收敛于二阶精度。

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