Rayleigh-Bénard convection (RBC) with anisotropic thermal diffusion inside a cylindrical cavity is investigated using the axisymmetric thermal-lattice Boltzmann method with MRT collisions. The axisymmetric approach for cylindrical geometries reduces the overall computational requirements, however, is valid for a certain range of governing non-dimensional number, here the Rayleigh number. The D2Q9 model is used with two distribution functions one for the flow-field and another for the temperature-field. The new results are presented for RBC in a cylindrical cavity for cavity aspect ratios (ratio of height (H) to the radius (R) of the cylinder $\mathrm{\Gamma }=\mathrm{H}/\mathrm{R}$) 1 and 2 up to Rayleigh number 10,000.

利用带有MRT碰撞的轴对称热格子Boltzmann方法，研究了在圆柱腔内部具有各向异性热扩散的Rayleigh-Bénard对流（RBC）。圆柱几何的轴对称方法降低了总体计算要求，但是，对于控制无量纲数（此处为瑞利数）的特定范围有效。D2Q9模型具有两个分布函数，一个用于流场，另一个用于温度场。提出了圆柱腔中RBC的新结果，用于腔长宽比（圆柱体的高度（H）与半径（R）的比率）$\mathrm{\Gamma }=\mathrm{H}/\mathrm{[R}$）1和2，最高瑞利数为10,000。