A Simple Scheme for Interface Tracking

概要

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After confirming that the tangent hyperbolic function THINC (tangent of hyperbola for interface capturing) is effective for transport of binary distribution, we proposed a new method in which the coefficient is adjusted according to the inclination of the interface in order to overcome the problems that occur in dealing with multi-dimensional problems. The new scheme was compared with the THINC scheme, the THINC/WLIC scheme, the Donor-Acceptor scheme and the Upwind scheme by carrying out advection tests with three kinds of shapes. The proposed scheme was able to significantly suppress shape errors and had good volume conservation. For the calculation of surface wetting behavior of a droplet, the volume conservation was excellent, and the droplet interface was captured within two cells. The rising velocity of a bubble calculated from the simulation was also found to agree well with experimental results reported in the literature. In addition to excellent volume conservation, the bubble interface was found to be maintained within two cells.