排灌机械工程学报2017，Vol.35Issue(10)：874-880,7.DOI:10.3969/j.issn.1674-8530.16.0219
基于格子Boltzmann方法饱和土体 一维固结数值解
Numerical solution of one-dimensional consolidation for saturated soil based on lattice Boltzmann method
摘要
Abstract
In order to study one-dimensional Terzagjhi consolidation theory for saturated soil,the equi-librium distribution function of discrete velocity direction is derived based on D1Q2 model. At the same time,the lattice Boltzmann model with discrete time and space is established by applying the BGK approximation to deal with collision term of the Boltzmann equation. Then the microscopic lattice Boltzmann model is reduced to the macroscopic one-dimensional consolidation differential equation by using Chapman-Enskog multi-scale expansion technique and Taylor formula series expansion method. To make the analysis convenient,the dimensionless method is used to deal with the one-dimensional consolidation equation for saturated soil. The transformation between the physical unit and the lattice one is constructed. Finally,according to lattice Boltzmann method,the corresponding calculation pro-gram is compiled with visual C++ language,at the different time steps the distribution of excess pore water pressure for saturated soil is calculated in case of one side and both sides drainage. The numerical results are compared with the classical analytical solutions. The results show that the numerical solution of this method is in good agreement with the theoretical solution. The effectiveness of lattice Boltzmann method is verified in the application of one-dimensional consolidation for saturated soil.关键词
饱和土体/格子Boltzmann方法/一维固结/数值解Key words
saturated soil/lattice Boltzmann method/one-dimensional consolidation/numerical solution分类
建筑与水利引用本文复制引用
王志良,辛立斌,申林方,李明宇..基于格子Boltzmann方法饱和土体 一维固结数值解[J].排灌机械工程学报,2017,35(10):874-880,7.基金项目
国家自然科学基金资助项目(51508253,51668028,51408284) （51508253,51668028,51408284）
