Flux Limiter Lattice Boltzmann for Compressible Flows

• 作者: 张广财 李英骏 许爱国 陈峰
• 来源期刊: 理论物理通讯：英文版
• 学科: 工学
• 关键词: 格子Boltzmann 通量限制器 可压缩流动 数值模拟 动力学性质 分割技术 数值扩散 LB方法
• 年，卷（期）: 2011,（8）
• 所属期刊栏目: Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and FluidDynamics
• 页码范围: 333-338
• 页数: 6页
• 分类号: TP311.13|O35
• 语种: 英文

摘要

In this paper, a new flux limiter scheme with the splitting technique is successfully incorporated into a multiple-relaxation-time lattice Boltzmann （LB） model for shacked compressible flows. The proposed flux limiter scheme is efficient in decreasing the artificial oscillations and numerical diffusion around the interface. Due to the kinetic nature, some interface problems being difficult to handle at the macroscopic level can be modeled more naturally through the LB method. Numerical simulations for the Richtmyer-Meshkov instability show that with the new model the computed interfaces are smoother and more consistent with physical analysis. The growth rates of bubble and spike present a satisfying agreement with the theoretical predictions and other numerical simulations.