No abstract

In this article, we developed a hybrid volume of fluid (VOF) and level set interface capturing scheme with quartic surface representation for unstructured meshes. The so-called tangent of hyperbola interface capturing-scaling scheme with quartic surface representation (THINC-scaling/QSR) preserves the merits of the mass/volume conservativeness from the VOF scheme along with the geometric faithfulness from the level set scheme. Compared with linear/quadratic surface representation used in many other interface capturing schemes, the fluid interface is defined more precisely as a quartic polynomial surface of the THINC function which synchronize the interface between the VOF and level set functions in a straightforward solution procedure. We update the VOF function using a finite volume formulation. The level set function is first locally updated via a semi-Lagrangian method for interface cells and then reinitialized within each time step. Two-dimensional algorithm has been developed and verified by some benchmark tests on unstructured meshes. Convincing evidence suggests that the present scheme, with quartic surface representation, can provide high-fidelity solution with more pronounced sub-grid interface capturing capability than other most advanced methods.