Two‐relaxation‐time lattice Boltzmann method for the anisotropic dispersive Henry problem
Two‐relaxation‐time lattice Boltzmann method for the anisotropic dispersive Henry problem
复制标题
DOI：
10.1029/2009wr007837
复制
发表时间：
2010-02
影响因子：
5.4
通讯作者：
B. Servan-Camas;F. Tsai
中科院分区：
文献类型：
--
作者：
B. Servan-Camas;F. Tsai
本研究发展了一种具有双弛豫时间碰撞算子（TRT）的格子Boltzmann方法（LBM）来科普盐水入侵问题中的各向异性非均质水力传导率和各向异性速度相关的水动力弥散。进一步发展了定向声速技术，以解决各向异性导水率和弥散张量。强迫项被引入LBM中，以校正在恢复过程中出现的数值误差，并描述流和输运方程中的汇/源项。为了便于LBM的实现，强迫项与平衡分布函数（EDF）相结合，以创建伪EDF。本研究进行线性稳定性分析并推导LBM稳定域以求解各向异性对流弥散方程。稳定域用于选择格子Boltzmann方法提供稳定的解决方案的数值例子的时间步长。LBM被用于各向异性色散亨利问题，具有高的纵向与横向色散率比，结果与Abarca等人（2007）的工作中的解决方案进行了很好的比较。
This study develops a lattice Boltzmann method (LBM) with a two‐relaxation‐time collision operator (TRT) to cope with anisotropic heterogeneous hydraulic conductivity and anisotropic velocity‐dependent hydrodynamic dispersion in the saltwater intrusion problem. The directional‐speed‐of‐sound technique is further developed to address anisotropic hydraulic conductivity and dispersion tensors. Forcing terms are introduced in the LBM to correct numerical errors that arise during the recovery procedure and to describe the sink/source terms in the flow and transport equations. In order to facilitate the LBM implementation, the forcing terms are combined with the equilibrium distribution functions (EDFs) to create pseudo‐EDFs. This study performs linear stability analysis and derives LBM stability domains to solve the anisotropic advection‐dispersion equation. The stability domains are used to select the time step at which the lattice Boltzmann method provides stable solutions to the numerical examples. The LBM was implemented for the anisotropic dispersive Henry problem with high ratios of longitudinal to transverse dispersivities, and the results compared well to the solutions in the work of Abarca et al. (2007).