Optimal control in ink-jet printing via instantaneous control

摘要

This paper concerns the optimal control of a free surface flow with movingcontact line, inspired by an application in ink-jet printing. Surface tension,contact angle and wall friction are taken into account by means of thegeneralized Navier boundary condition. The time-dependent differential systemis discretized by an arbitrary Lagrangian-Eulerian finite element method, and acontrol problem is addressed by an instantaneous control approach, based on thetime discretization of the flow equations. The resulting control procedure iscomputationally highly efficient and its assessment by numerical tests show itseffectiveness in deadening the natural oscillations that occur inside thenozzle and reducing significantly the duration of the transient preceding theattainment of the equilibrium configuration.