SUMMARYThis paper presents a simple and practical scheme for capturing moving interfaces or free boundaries in multi-uid simulations. The scheme, which is called THINC (tangent of hyperbola for interface capturing), makes use of the hyperbolic tangent function to compute the numerical ux for the uid fraction function, and gives a conservative, oscillation-less and smearing-less solution to the uid fraction function even for the extremely distorted interfaces of arbitrary complexity. The numerical results from the THINC scheme possess adequate quality for practical applications, which make the extra geometric reconstruction, such as those in most of the volume of uid (VOF) methods unnecessary. Thus the scheme is quite simple. The numerical tests show that the THINC scheme has competitive accuracy compared to most exiting methods.

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