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首页> 外文期刊>Journal of Computational Physics >Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications
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Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications

机译：基于隐式速度校正的沉浸边界格子玻尔兹曼方法及其应用

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A version of immersed boundary-lattice Boltzmann method (IB-LBM) is proposed in this work. It is based on the lattice Boltzmann equation with external forcing term proposed by Guo et al. [Z. Guo, C. Zheng, B. Shi, Discrete lattice effects on the forcing term in the lattice Boltzmann method, Phys. Rev. E 65 (2002) 046308], which can well consider the effect of external force to the momentum and momentum flux as well as the discrete lattice effect. In this model, the velocity is contributed by two parts. One is from the density distribution function and can be termed as intermediate velocity, and the other is from the external force and can be considered as velocity correction. In the conventional IB-LBM, the force density (external force) is explicitly computed in advance. As a result, we cannot manipulate the velocity correction to enforce the non-slip boundary condition at the boundary point. In the present work, the velocity corrections (force density) at all boundary points are considered as unknowns which are computed in such a way that the non-slip boundary condition at the boundary points is enforced. The solution procedure of present IB-LBM is exactly the same as the conventional IB-LBM except that the non-slip boundary condition can be satisfied in the present model while it is only approximately satisfied in the conventional model. Numerical experiments for the flows around a circular cylinder and an airfoil show that there is no any penetration of streamlines to the solid body in the present results. This is not the case for the results obtained by the conventional IB-LBM. Another advantage of the present method is its simple calculation of force on the boundary. The force can be directly calculated from the relationship between the velocity correction and the force density. (C) 2008 Elsevier Inc. All rights reserved.
机译：在这项工作中提出了一种浸入式边界晶格玻尔兹曼方法（IB-LBM）。它基于Guo等人提出的带有外部强迫项的晶格Boltzmann方程。 [Z. Guo，C. Zheng，B. Shi，离散格效应对格子Boltzmann方法中强迫项的影响。 Rev 65（2002）046308]，其可以很好地考虑外力对动量和动量通量的影响以及离散晶格效应。在此模型中，速度由两个部分贡献。一个来自密度分布函数，可以称为中间速度，另一个来自外力，可以视为速度校正。在传统的IB-LBM中，力密度（外力）是预先明确计算的。结果，我们无法操纵速度校正以在边界点处施加防滑边界条件。在当前工作中，所有边界点的速度校正（力密度）都被视为未知数，其计算方式是强制边界点处的防滑边界条件。本IB-LBM的求解过程与常规IB-LBM完全相同，除了在本模型中可以满足防滑边界条件，而在常规模型中仅可以近似满足。围绕圆柱体和翼型的流动的数值实验表明，在目前的结果中，流线没有渗透到固体中。对于常规IB-LBM获得的结果而言并非如此。本方法的另一个优点是其对边界力的简单计算。可以从速度校正和力密度之间的关系直接计算力。 （C）2008 Elsevier Inc.保留所有权利。

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