2019 Volume 2019 Pages 20190008
This paper presents a numerical advection method for a three-phase flow which is composed of a solid phase and two liquid phases. Two interfaces of the three materials are reconstructed by nested dissections scheme using three-dimensional PLIC(piecewise linear interface calculation) method successively twice for a single computational cubic cell. An algorithm to apply PLIC method successively twice for a cubic cell volume is developed by extending an existing PLIC method which uses convergent calculation to determine the position of an interface plane.
Effectiveness of the proposed PLIC algorithm is examined by demonstrating cell division with various combinations of volume ratios and normal vectors. The results of the above demonstration show satisfactory iteration times required up to convergence.
The proposed PLIC is applied to a time-dependent incompressible shear flow field in a parallelepiped domain. A series of numerical experiments to track deformation of a liquid column in the domain were performed at various numbers of cells. The result shows an excellent convergence ratio in accordance with cell numbers, total mass error and shape errors.
