Karlin I V, Sichau D, Chikatamarla S S
Aerothermochemistry and Combustion Systems Lab, ETH Zurich, 8092 Zurich, Switzerland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):063310. doi: 10.1103/PhysRevE.88.063310. Epub 2013 Dec 30.
Theory of two-population lattice Boltzmann equations for thermal flow simulations is revisited. The present approach makes use of a consistent division of the conservation laws between the two lattices, where mass and the momentum are conserved quantities on the first lattice, and the energy is conserved quantity of the second lattice. The theory of such a division is developed, and the advantage of energy conservation in the model construction is demonstrated in detail. The present fully local lattice Boltzmann theory is specified on the standard lattices for the simulation of thermal flows. Extension to the subgrid entropic lattice Boltzmann formulation is also given. The theory is validated with a set of standard two-dimensional simulations including planar Couette flow and natural convection in two dimensions.
重新审视了用于热流模拟的双种群格子玻尔兹曼方程理论。当前方法利用了两个格子之间守恒定律的一致划分，其中质量和动量是第一个格子上的守恒量，而能量是第二个格子上的守恒量。发展了这种划分的理论，并详细展示了在模型构建中能量守恒的优势。当前的完全局部格子玻尔兹曼理论在用于热流模拟的标准格子上进行了具体阐述。还给出了向亚格子熵格子玻尔兹曼公式的扩展。该理论通过一组标准的二维模拟进行了验证，包括二维平面库埃特流和自然对流。
