管道泄漏污染物一维迁移的LBM模拟

摘要

石油管道泄漏现象时有发生，对环境造成了危害，研究埋地管道石油污染物泄漏尤为关键。在此采用Boltzmann研究方法，通过多尺度技术和局部平衡态分布函数的Chapman-Enskog展开得到运算的平衡态方程，并给出了石油管道污染物泄漏迁移的一维有源扩散方程的格子Boltzmann模型，通过C++软件数值模拟进行运算。最终得出结果与理论解一致，验证了用Boltzmann方法研究污染物泄漏迁移的可行性。%Oil pipeline leak phenomenon has harm to the environment, so it is important to study buried pipeline leak oil pollutants. In this paper, based on Boltzmann method, the one-dimensional lattice Boltzmann model diffusion equation of oil pipeline leakage pollutant migration was given, the equilibrium equation was computed through multi-scale technique and partial equilibrium distribution function of Chapman Enskog expansion, and numerical simulation calculation was carried out by C++software. Finally it’s concluded that the results are consistent with the theoretical solution, which can verify the feasibility of Boltzmann method to study the leakage pollutant migration.