A fractional-step thermal lattice Boltzmann model for high Peclet number flow. (September 2015)

• Record Type: Journal Article
• Authors: Deng, Lin; Zhang, Yun; Wen, Yanwei; Shan, Bin; Zhou, Huamin
• Is Part Of: Computers & mathematics with applications. Volume 70:issue 5(2015)
• Page Start: 1152
• Page End: 1161
• Publication Date: 2015-09
• Subjects: Thermal lattice Boltzmann model -- Fractional-step method -- Strang operator splitting -- High Peclet number (Pe) -- Polymer injection molding; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2015.07.006
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: 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.