Physical modeling of multiphase flow via lattice Boltzmann method： Numerical effects, equation of state and boundary conditions

• Published in: Frontiers of physics Vol. 7; no. 4; pp. 481 - 490
• Main Authors: Gan, Yan-Biao, Xu, Ai-Guo, Zhang, Guang-Cai, Li, Ying-Jun
• Format: Journal Article
• Language: English
• Published: Beijing Higher Education Press 01.08.2012; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Atomic; Boundary conditions; Condensed Matter Physics; equation of state; Equations of state; Fast Fourier transformations; FFT; FFT方法; Finite difference method; Fourier transforms; lattice Boltzmann method; Mathematical models; Molecular; Multiphase flow; Optical and Plasma Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Research Article; van der Waals fluids; 多相流; 数值方法; 有限差分法; 格子Boltzmann模型; 物理模拟; 状态方程; 边界条件; lattice Boltzmann method; equation of state; van der Waals fluids; FFT
• ISSN: 2095-0462; 2095-0470
• DOI: 10.1007/s11467-012-0245-0

The aims of the present paper are threefold. First, we further study the fast Fourier transform thermal lattice Boltzmann (FFT-TLB) model for van der Waals (VDW) fluids proposed in Phys. Rev. E, 2011, 84(4): 046715. We analyze the merits of the FFT approach over the traditional finite difference scheme and investigate the effects of smoothing factors on accuracy and stability in detail. Second, we incorporate the VDW equation of state with flexible parameters into the FFT-TLB model. As a result, the revised model may be used to handle multiphase flows with various critical densities and temperatures. Third, we design appropriate boundary conditions for systems with solid walls. These improvements, from the views of numerics and physics, significantly extend the application scope of the model in science and engineering.