Numerical simulation of turbulent bubbly flows

A mathematical model for turbulent gas-liquid flows with mass transfer and chemical reactions is presented and a robust solution strategy based on nested iterations is proposed for the numerical treatment of the intricately coupled PDEs. In particular, the incompressible Navier-Stokes equations are solved by a discrete projection scheme from the family of Pressure Schur Complement methods. Novel high-resolution finite element schemes of FCT and TVD type are employed for the discretization of unstable convective terms. The implementation of a modified k − ε turbulence model is described in detail. The performance of the developed simulation tools is illustrated by a number of three-dimensional numerical examples.