A Front Tracking Method for Numerical Simulation of Incompressible Two Phase Flows pp. 41-108
Authors: (Jinsong Hua, Gretar Tryggvason, Institute for Energy Technology, Kjeller, Norway, and others)
Abstract: A front-tracking method for direct numerical simulation of incompressible two-phase flows is presented along with its numerical implementation and validation. This method is based on the ―one-fluid‖ formulation of the governing equations, in which a single set of governing equations is applied to both fluid phases, treating the different phases as one fluid with variable material properties. The unsteady Navier–Stokes equations are solved using a conventional finite volume method on a fixed grid, and the interface or front is tracked explicitly by connected marker points. The physical discontinuities across the interface are accounted for by adding the appropriate sources as delta-functions at the front separating the phases. The surface tension is computed on the front and spread onto the fixed grid. Following the motion of the front, the distribution of fluid properties such as density is updated accordingly. The front tracking method has been implemented for fully three-dimensional flow modeling, as well as for two-dimensional and axisymmetric flow systems. The proposed numerical method has been validated systematically with available experimental data, and employed widely to investigate the dynamics of multiphase flows with bubbles and drops. In addition, this numerical method has been extended to model complex multiphase interfacial flow problems involving phase change, surfactant transport and electrohydrodynamics. The extensive review of simulations that use the front tracking method to investigate various multiphase interfacial flow problems demonstrates that the front tracking method is one of the most effective numerical approaches for the interfacial multiphase flow simulations.