Solving Time-Fractional Advection-Dispersion Equation by Variable Weights Particle Tracking Method
Solving Time-Fractional Advection-Dispersion Equation by Variable Weights Particle Tracking Method
复制标题
变权粒子跟踪法求解时间分数式平流色散方程
DOI：
10.1007/s10955-017-1849-0
复制
发表时间：
2017
影响因子：
1.6
通讯作者：
Wu Jichun
中科院分区：
文献类型：
--
作者：
Cao Shaohua;Jiang Jianguo;Wu Jichun
粒子跟踪法是求解时间分数阶对流-弥散方程的一种有效、可靠的方法，可以描述非均匀多孔介质中的异常输运。但当浓度值较小时，这种方法会导致溶液剧烈波动或消失。针对粒子跟踪方法的不足，提出了一种变权值的粒子跟踪方法。然后，采用变权粒子跟踪法求解一维和二维时间分数阶对流-弥散方程。与传统的粒子跟踪方法相比，变权值方法可以在不增加计算量的情况下，消除粒子跟踪过程中的波动，提高跟踪精度。
Particle tracking method is an efficient and reliable method to solve time-fractional advection-dispersion equation, which can describe anomalous transport in heterogeneous porous media. However, this method will lead to severe fluctuation or disappearance of solutions if the concentration value is small. A variable weights method is developed to conquer the shortcoming of particle tracking method. Then, one-dimensional and two-dimensional time-fractional advection-dispersion equations are solved by the variable weights particle tracking method. Compared to traditional particle tracking method, the variable weights version may eliminate the fluctuation and improve the accuracy by orders of magnitude without more computational cost.