An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes

作者：Li Weidong; Luo Li Shi^*

来源：Journal of Computational Physics, 2016, 327: 503-518.

DOI：10.1016/j.jcp.2016.09.038

• Lattice Boltzmann equation
• Finite-volume method
• Fully implicit scheme
• Block LU-SGS
• Low-Mach number flows
• Viscous and inviscid steady flows

This work proposes a fully implicit lattice Boltzmann (LB) scheme based on finite-volume (FV) discretization on arbitrary unstructured meshes. The linear system derived from the finite-volume lattice Boltzmann equation (LBE) is solved by the block lower-upper (BLU) symmetric-Gauss-Seidel (SGS) algorithm. The proposed implicit FV-LB scheme is efficient and robust, and has a low-storage requirement. The effectiveness and efficiency of the proposed implicit FV-LB scheme are validated and verified by the simulations of three test cases in two dimensions: (a) the laminar Blasius flow over a flat plate with Re= 10(5); (b) the steady viscous flow past a circular cylinder with Re= 10, 20, and 40; and (c) the inviscid flow past a circular cylinder. The proposed implicit FV-LB scheme is shown to be not only effective and efficient for simulations of steady viscous flows, but also robust and efficient for simulations of inviscid flows in particular.

• 出版日期2016-12-15
• 单位北京计算科学研究中心