収束計算を伴う界面捕捉手法による3次元PLICのアルゴリズム

抄録

This paper proposes an algorithm of interface capturing using convergent calculation. Three dimensional piecewise linear interface calculation (3DPLIC) has been shown its preciseness not only in two dimensional problem but also three dimensional problems. However, some algorithms of three dimensional PLIC is known to be complicated and prohibitive in three dimensional problem. This paper proposes an new algorithm to determine the interface plane based on the fraction of cell volume and local normal vector. The proposed algorithm defines a function which returns volume of the fraction when the position of the plane is given. Utilizing the function in an iterative algorithm, the position of the interface plane is decided. A series of examinations of the computational time and precision of 3DPLIC with proposed algorithm are presented. Computational time and precision are discussed in the context of comparison with an existing advection method, THINC/WLIC. The results show that the proposed algorithm is superior to the existing method in precision.