School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
Phys Rev E. 2017 Jun;95(6-1):063313. doi: 10.1103/PhysRevE.95.063313. Epub 2017 Jun 23.
Applications of the transient Boltzmann transport equation (BTE) have undergone much investigation, such as radiative heat transfer and neutron transport. This paper provides a lattice Boltzmann model to efficiently resolve the multidimensional transient BTE. For a higher angular resolution, enough transport directions are considered while the transient BTE in each direction is treated as a conservation law equation and solved independently. Both macroscopic equations recovered from a Chapman-Enskog expansion and simulated results of typical benchmark problems show not only the second-order accuracy but also the flexibility and applicability of the proposed lattice Boltzmann model. This approach may contribute a powerful technique for the parallel simulation of large-scale engineering and some alternative perspectives for solving the nonlinear transport problem further.
瞬态 Boltzmann 输运方程（BTE）的应用已经过广泛研究，例如辐射传热和中子输运。本文提供了一种晶格 Boltzmann 模型，可有效地解决多维瞬态 BTE。为了获得更高的角分辨率，考虑了足够的输运方向，而每个方向的瞬态 BTE 则被视为守恒定律方程并独立求解。从Chapman-Enskog 展开得到的宏观方程和典型基准问题的模拟结果不仅显示了二阶精度，而且还显示了所提出的晶格 Boltzmann 模型的灵活性和适用性。这种方法可能为大规模工程的并行模拟提供一种强大的技术，并为进一步解决非线性输运问题提供一些替代的视角。
