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In this paper we present numerical models for electrodynamical flows withtime-dependent electrical fields with transport of bubbles. Such models areapplied in e-jet printing, e.g., additive manufacturing (AM), and convectivecooling, electrostatic precipitation, plasma assisted combustion.  We present a coupled model, consisting of two models. The first model is theunderlying hydrodynamical simulation model, which is based on the Burgers'equation. The second model is a transport model based on level-set equations,which transport the bubbles in the flow field. We derive the modeling of thetwo coupled modeling equations and discuss decoupled and coupled versions forsolving such delicate problems. In the numerical analysis, we discuss thesolvers methods, which are based on splitting approaches and level-settechniques. In the first numerical results, we present decoupled and coupledmodel simulations of the bubbles in the liquid flow.

Numerical Simulations of Electrohydrodynamics flow model based on Burgers' Equation with Transport of Bubbles