微粒受介电泳效应的动力学建模和仿真

Velocity-Verlet或ODE算法分析微粒的运动特征，涉及的偏微分方程存在求解困难、运算量大和使用效率低的难点.采用COMSOL Multiphysics 5.3a有限元软件，通过AC/DC模块中的边界条件设定可快速求解Laplace方程，为介电泳力的求解提供先决条件.后期根据软件提供的粒子追踪模块，将介电泳力、斯托克斯拖曳力、排斥力和浮力内联进粒子追踪模块的应力参数表中，设定固定的时间步长和范围对介电泳芯片的粒子受力运动问题进行了仿真.结果表明，该方法可以有效模拟微粒受介电泳效应的运动行为，并且与Velocity-Verlet或ODE算法模拟结果相似，能有效降低计算程序的繁琐程度，提高动态模拟的人机可视化效果.

Dynamic Modeling and Simulation of Micro-particles Experienced Dielectrophoretic Effect

There exists tough convergence， burden computation， and low efficiency for solution to partial difference equations using Velocity-Verlet or ODE algorithms analyzing characteristics of particle motion. The finite element software COMSOL Multiphysics 5.3a， which could be used to solve Laplace equation quickly in AC/DC module when these reasonable boundaries were chosen， provides the precondition for calculating dielectrophoretic force. In terms of particle tracing module in COMSOL software， the particles experienced dielectrophoretic effect were simulated through the selection of both time step and range when dielectrophoretic， Stokes drag， repulsive， and buoyant forces were taken into the table of stress parameter in particle tracking module. The results illustrated that this approach is capable of simulating the motion of such particles exerted by dielectrophoresis effect， reducing the complexity of program and improving man-machine visualization of dynamic simulation， and are consistent with Velocity-Verlet or ODE algorithms.