  As one of the most popular interface-capturing methods, the level-set method
is inherently non-conservative, and its evolution usually leads to unphysical
mass gain/loss. In this paper, a novel conservative level set method is
developed for incompressible multiphase flows simulations. A posterior mass
correction is performed by introducing a small perturbation to the level-set
field, which is solved via the Newton method. Unlike in previous researches,
the signed distance property of the level-set function is exactly preserved
after the present mass correction. Moreover, this method can be easily
generalized from 2D to 3D. The influence for the computational efficiency is
slight as the correction does not need to be applied at every time step.
Various benchmark cases involving pure interface-evolution problems and
multiphase flows problems are considered to validate the present method. For
all cases, the accuracy and efficiency of the original method and the present
method are quantitatively compared. It is observed that, with negligibly extra
cost, the conservation error is reduced to the order of machine accuracy by the
present method, which indicates its potential applications in complex
multiphase flows simulations.
