Physical Review E
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.
Original Publication Citation
Armstrong, C., & Peng, Y. (2021). Numerical simulations of capsule deformation using a dual time-stepping lattice Boltzmann method. Physical Review E, 103(2), 1-17, Article 023309 https://doi.org/10.1103/PhysRevE.103.023309
Armstrong, Charles and Peng, Yan, "Numerical Simulations of Capsule Deformation Using a Dual Time-Stepping Lattice Boltzmann Method" (2021). Mathematics & Statistics Faculty Publications. 185.