Numerical simulation of capillary dynamics of thin liquid layers at high-frequency oscillations of deformable substrate

Abstract

The numerical simulation of fluid-structure interaction problems is topical both from an applied point of view (in connection with the need to create various technical devices) and theoretical ones (it’s caused by the development of methods, algorithms, and HPC systems). Fluid-structure interaction is complex and requires a solution of both the elastodynamic and the hydrodynamics equations. The partitioned approach to solving fluid-interaction problems is one of the most common. Its allows solving each of the physical problems independently, using specific numerical schemes and a proprietary parallelism model. However, in this approach, a procedure for coupling solutions on the interface boundary is necessary to carry out. This article is considered the numerical simulation of forced oscillation of the liquid layer located on the surface of a bending plate. Forced vibrations of the cantilevered plate are excited by the piezoelectric element. At the excitation of vibrations, the thin layer of viscous liquids has flowed to antinodes of vibrations of the oscillated plate.