首页> 外文期刊>International journal of nanomechanics science and technology >FLUID FLOW SIMULATION IN MICROPOROUS MEDIA ON NONUNIFORM GRIDS USING THE TAYLOR SERIES EXPANSION AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD
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FLUID FLOW SIMULATION IN MICROPOROUS MEDIA ON NONUNIFORM GRIDS USING THE TAYLOR SERIES EXPANSION AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD

机译:基于泰勒级数展开和最小二乘格子格子Boltzmann方法的非均匀网格上微孔介质中流体流动模拟

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In this study, the lattice Boltzmann method (LBM) has been applied for the first time to simulate incompressible flow in microporous media on nonuniform grids. The flow through porous media is simulated by including the porosity into the equilibrium distribution function and adding a force term to the evolution equation to account for the linear and nonlinear drag forces of the porous medium. Besides, nonuniform grids are adopted by using the explicit Taylor series expansion and least squares-based lattice Boltzmann method (TLLBM). The TLLBM is based on the standard LBM with an introduction of the Taylor series expansion and the least squares approach. The final equation is an explicit form and essentially has no restriction on mesh structure and lattice model. Since the Taylor series expansion is only employed in the spatial direction, the time accuracy of this method remains the same as the standard LBM. In order to validate the LBM code, at first, a lid-driven cavity flow in porous media is simulated and the obtained results are compared with the data existing in the literature. Then, the proposed method is applied to simulate a lid-driven cavity flow in microporous media for different Darcy and Knudsen numbers. The present results demonstrate the potential of the lattice Boltzmann algorithm on nonuniform grids for numerical simulation of fluid flow through porous media.
机译:在这项研究中,格子玻尔兹曼方法(LBM)首次应用于模拟非均匀网格上微孔介质中不可压缩的流动。通过将孔隙率包括在平衡分布函数中,并向演化方程添加一个力项,以解释多孔介质的线性和非线性阻力,从而模拟通过多孔介质的流动。此外,采用显式泰勒级数展开和基于最小二乘法的格子玻尔兹曼方法(TLLBM),采用非均匀网格。 TLLBM基于标准LBM,并引入了泰勒级数展开和最小二乘法。最终方程是一个显式形式,基本上对网格结构和晶格模型没有限制。由于泰勒级数展开仅在空间方向上使用,因此此方法的时间精度与标准LBM相同。为了验证LBM代码,首先,模拟了多孔介质中盖驱动腔的流动,并将所得结果与文献中的数据进行了比较。然后,针对不同的达西和克努森数,将所提出的方法应用于模拟微孔介质中盖驱动的腔体流动。目前的结果证明了非均匀网格上格子Boltzmann算法对流体通过多孔介质流动的数值模拟的潜力。

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