Front tracking with an area-preserving arker redistribution algorith kineatic and dynaic tests

A front tracking algorithm for interfacial flows is presented. In 2D, the inter-face is described by a closed line defined by an ordered set of surface markers connected by consecutive segments. The algorithm has recently extended to quadrangular unstructured grids. Results are presented for both unstructured and Cartesian grids. In 3D, the inter-face is given by a set of closed lines which define a deforming Lagrangian mesh. Fixed markers are set at the crossing points of these lines, while auxiliary markers are defined at the intersection points with the grid cell faces and inside each computational cell. A local area conservation algorithm has been developed to remesh consistently markers by adding and removing them dynamically when this is needed. A Navier-Stokes solver which includes the front tracking algorithm has been developed for 2D incompressible two-phase flows based on the finite element method. A variational formulation of the surface tension term which removes the singularity of the capillary force is proposed. Spurious currents are greatly reduced and drop oscillating dynamics is accurately reproduced.