熵格子Boltzmann方法的亚格子尺度模型

摘要

The improvement on the lattice Boltzmann method enables the Entropic Lattice Boltzmann Method (ELBM) to obtain the potential in order to simulate high Reynolds number turbulence stably. A re⁃normalization group subgrid scale turbulence model for Large Eddy Simulation (LES) is introduced into the ELBM. Based on ELBM, a renormalization group subgrid scale model and the standard Smagorinsky sub⁃grid scale model for LES are established simultaneously. Simulation of high Reynolds number turbulent flow around a circular cylinder is then carried out. It is concluded that the established renormalization group subgrid scale model for LES based on ELBM is effective for the simulation method with high Reyn⁃olds number turbulence, which is seen to be slightly better than the standard Smagorinsky subgrid scale model.%熵格子Boltzmann方法对格子Boltzmann方法的改进使其具有稳定模拟高雷诺数湍流的潜力。尝试将大涡模拟的重整化群亚格子尺度湍流模型引入到熵格子Boltzmann方法中。同时建立基于熵格子Boltzmann方法的大涡模拟重整化群亚格子尺度模型及大涡模拟标准Smagorinsky亚格子尺度模型，进行高雷诺数湍流圆柱绕流场的模拟计算。结果表明：所建立的熵格子Boltzmann方法重整化群亚格子尺度模型能够有效模拟高雷诺数湍流流动，其对高雷诺数湍流的模拟计算结果略优于熵格子Boltzmann方法的大涡模拟标准Smagorinsky亚格子尺度模型。