A curvilinear lattice Boltzmann scheme for thermal flows
A curvilinear lattice Boltzmann scheme for thermal flows
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DOI：
10.1016/j.matcom.2022.06.002
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发表时间：
2022-06
期刊：
影响因子：
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通讯作者：
J. A. R. Barraza;R. Deiterding
中科院分区：
文献类型：
--
作者：
J. A. R. Barraza;R. Deiterding
格子Boltzmann格式以其高效和低耗散特性而著称。然而，标准的格子Boltzmann方法(LBM)仅限于笛卡尔网格，当计算弯曲壁面上的热流时，这种方法会很麻烦。本文提出在曲线坐标变换下求解二维格子Boltzmann方程，用贴体网格模拟热流。讨论了几个测试案例，并将结果与现有的数值和实验数据进行了广泛的比较，得到了非常有利的结果，证实了所实施的方法的重要性。用方腔和波腔中的自然对流以及同心圆柱形环空中的流动进行了验证。文中还包括了加热的二维圆柱体上的强迫对流。
Lattice Boltzmann schemes are known for their efficiency and low dissipation properties. However, the standard lattice Boltzmann method (LBM) is limited to Cartesian grids, and this approach can be troublesome when approximating thermal flows over curved walls. The present work proposes to solve the two-dimensional lattice Boltzmann equation under curvilinear coordinate transformation to simulate thermal flows with body-fitted grids. Several test cases are discussed, and the results are extensively compared with a very favourable outcome to the available numerical and experimental data, confirming the importance of the implemented methodology. Natural convection in a square cavity and a wavy cavity, as well as flow in a concentric cylindrical annulus are used for validation. Forced convection over a heated two-dimensional cylinder is also included.