Armstrong Charles, Peng Yan
Department of Mathematics and Statistics, Old Dominion University, Norfolk, Virginia 23529, USA.
Phys Rev E. 2021 Feb;103(2-1):023309. doi: 10.1103/PhysRevE.103.023309.
In this work a quasisteady, dual time-stepping lattice Boltzmann method is proposed for simulation of capsule deformation. At each time step the steady-state lattice Boltzmann equation is solved using the full approximation storage multigrid scheme for nonlinear equations. The capsule membrane is modeled as an infinitely thin shell suspended in an ambient fluid domain with the fluid structure interaction computed using the immersed boundary method. A finite element method is used to compute the elastic forces exerted by the capsule membrane. Results for a wide range of parameters and initial configurations are presented. The proposed method is found to reduce the computational time by a factor of ten.
在这项工作中，提出了一种用于模拟胶囊变形的准稳态、双时间步长格子玻尔兹曼方法。在每个时间步，使用非线性方程的全近似存储多重网格格式求解稳态格子玻尔兹曼方程。胶囊膜被建模为悬浮在周围流体域中的无限薄壳，通过浸入边界法计算流固相互作用。使用有限元方法计算胶囊膜施加的弹性力。给出了广泛参数和初始构型的结果。发现所提出的方法将计算时间减少了十分之九。
