Multiphase Flow of Incompressible Fluids Employing Regional Level Set and Volume Control

In this work, the regional level set is employed to track interfaces in multiphase fluid simulations, while considering the behavior of the film between distinct phases. Also, properties of each phase are tracked as they merge or split, and an algorithm to apply these operations is proposed. Furthermore, it is introduced a method to handle undesired volume changes that tries to minimize the total volume error by making local corrections trough an additional advection step. Plus, it is put forward an accurate volume calculation technique that takes advantage of the phase distribution resulted from the chosen interpolation method. Finally, particles are employed to avoid volumes losses due to discretization's problems.