EAN: 9783959086370

A MODELLING APPROACH FOR DEFORMABLE GAS BUBBLES...

This work contributes to the field of numerical simulation of multiphase flows with a focus on
gas bubbles in liquids. The immersed boundary code PRIME allows the explicit capture of phase
boundaries of the solid-liquid and solid- gaseous type. The present work contributes to a third
boundary type  the interface between gas and liquid as it appears in bubbly flows. This is a
challenge due to the deformability of the bubbles. The basic idea is two-fold: first  the
interface motion and the interfacial forces are derived from the Navier-Stokes equations 
allowing a Lagrangian specification of the surface motion and the surface loads. Second  based
on these equations of motion  the bubble shape is captured via a non-local parametric
representation. Thus  the bubble is explicitly known as a continuous object. This is an
essential difference to conventional methods  where it is common to define the surface position
via marker points or  implicitly  by an indicator function. Through this continuous  Lagrangian
representation  the bubble can change position and shape and is coupled locally with the fluid
field.

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