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As one of the most popular interface-capturing methods, the level-set methodis inherently non-conservative, and its evolution usually leads to unphysicalmass gain/loss. In this paper, a novel conservative level set method isdeveloped for incompressible multiphase flows simulations. A posterior masscorrection is performed by introducing a small perturbation to the level-setfield, which is solved via the Newton method. Unlike in previous researches,the signed distance property of the level-set function is exactly preservedafter the present mass correction. Moreover, this method can be easilygeneralized from 2D to 3D. The influence for the computational efficiency isslight as the correction does not need to be applied at every time step.Various benchmark cases involving pure interface-evolution problems andmultiphase flows problems are considered to validate the present method. Forall cases, the accuracy and efficiency of the original method and the presentmethod are quantitatively compared. It is observed that, with negligibly extracost, the conservation error is reduced to the order of machine accuracy by thepresent method, which indicates its potential applications in complexmultiphase flows simulations.

A conservative level-set method based on a posterior mass correction preserving distance property for incompressible multiphase flows simulations