二维热对流模拟的动态自适应晶格Boltzmann方法验证

Kai Feldhusen, R. Deiterding, C. Wagner
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引用次数: 1

摘要

利用Boussinesq近似,提出并验证了二维空间强迫对流和自然对流的双种群热晶格玻尔兹曼方法。采用为LBM量身定制的块结构动态自适应网格细化程序,实现了以边界层大尺度差异和自由流动为特征的高瑞利数构型的计算效率模拟。作为测试案例,考虑了二维(2D)强制对流通过两个多孔板和加热旋转圆柱体的非笛卡尔结构的解析可达问题。在瑞利数从103到108的差热腔的二维自然对流基准上,证明了整体方法的有效性。
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Validation of a Dynamically Adaptive Lattice Boltzmann Method for 2D Thermal Convection Simulations
Utilizing the Boussinesq approximation, a double-population thermal lattice Boltzmann method (LBM) for forced and natural convection in two space dimensions is developed and validated. A block-structured dynamic adaptive mesh refinement procedure tailored for LBM is applied to enable computationally efficient simulations of high Rayleigh number configurations which are characterized by a large scale disparity in boundary layers and free stream flow. As test cases, the analytically accessible problem of a two-dimensional (2D) forced convection flow through two porous plates and the non-Cartesian configuration of a heated rotating cylinder are considered. The effectiveness of the overall approach is demonstrated for the 2D natural convection benchmark of a cavity with differentially heated walls at Rayleigh numbers from 103 up to 108.
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