A fractional-step thermal lattice Boltzmann model for high Peclet number flow

作者：Deng Lin; Zhang Yun^*; Wen Yanwei; Shan Bin; Zhou Huamin

来源：Computers & Mathematics with Applications, 2015, 70(5): 1152-1161.

DOI：10.1016/j.camwa.2015.07.006

• Thermal lattice Boltzmann model
• Fractional-step method
• Strang operator splitting
• High Peclet number (Pe)
• Polymer injection molding

As a promising approach in hydrodynamics and thermodynamics modeling, the lattice Boltzmann method (LBM) still suffers severe numerical instability when the temperature field of the flow is convection-dominant (high Peclet number). Despite a lot of research devoted to solve this problem worldwide, to simulate high Peclet number thermal flow at comparably few computational Cost is still a hard work, making it inefficient in practical use. In this paper, we combine the LBM and the fractional-step method to propose a novel and stable thermal lattice Boltzmann scheme for high Peclet number flow without refining the lattice. By numerical tests of thermal Poiseuille flow and Couette flow, we quantify second-order accuracy of the proposed model, and through several cases of Peclet number from low to high, the superior stability and efficiency compared with existing thermal lattice Boltzmann model.

• 出版日期2015-9
• 单位华中科技大学