Lattice Boltzmann method for oscillatory Stokes flow with applications to micro- and nanodevices
Yong Shi, John E Sader
PHYSICAL REVIEW E | AMER PHYSICAL SOC | Published : 2010
A lattice Boltzmann (LB) method based on the linearized Boltzmann Bhatnagar-Gross-Krook equation for numerical simulation of oscillatory (unsteady) Stokes flow is proposed. Unlike the conventional (nonlinear) LB method that utilizes the time domain exclusively, the proposed method is formulated in the frequency domain to allow for direct access to the complex-valued stress, force, and velocity field--these parameters are of direct interest in characterizing microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS). The proposed method circumvents the requirement for time-dependent boundary velocities, as is needed in the conventional LB method, and convergence of the two..View full abstract
Awarded by NSFC
Y.S. would like to acknowledge partial support from NSFC (Grants No. 50806085 and No. 90510020). The authors gratefully acknowledge support from the Australian Research Council Grants Scheme.