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This paper presents a fully adaptive formulation of the Front Tracking method for the simulation of incompressible, multiphase, bubbly flows, based on the Tryggvason formulation. The Navier-Stokes equations are discretized using a finite difference scheme, and domain discretization is carried out with Berger & Collela’s structured adaptive mesh refinement (SAMR) algorithm. Time discretization is based on SBDF scheme, with adaptive time stepping. The lagrangian interface is represented using the GTS library, which provides a volumeand shapepreserving remeshing algorithm, therefore minimizing the volume change due to non-conservative interpolation of the eulerian velocity field. Nevertheless, a simple volume recovery algorithm is also provided, along with a subgrid undulation removal algorithm based on the TSUR-3D algorithm [6]. Rising bubble flows were simulated under several regimes, showing small errors when comparing to experimental results.

A FULLY ADAPTIVE, CONSERVATIVE FRONT TRACKING METHOD FOR THE SIMULATION OF INCOMPRESSIBLE MULTIPHASE FLOWS