Ansumali S, Karlin I V, Arcidiacono S, Abbas A, Prasianakis N I
School of Chemical and Biomedical Engineering, Nanyang Technological University, 639798 Singapore, Singapore.
Phys Rev Lett. 2007 Mar 23;98(12):124502. doi: 10.1103/PhysRevLett.98.124502. Epub 2007 Mar 22.
The exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at nonvanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables us to derive closed-form solutions for all higher-order moments. A convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.
在非零克努森数条件下，找到了平稳平面库埃特流中非线性晶格玻尔兹曼（LB）动力学方程层级的精确解。一种将矩量法与粒子分布的边界条件相结合的求解LB动力学方程的新方法，使我们能够推导出所有高阶矩的封闭形式解。结果的收敛表明，具有更大速度集的LB层级是近似动力学理论的新途径。
