Young’s piecewise-linear interface construction is a volume-of-fluid (VOF)-based numerical algorithm used for accurate intrinsic volume conservation and interface representation for multiphase simulation. The numerical model solves the complex Navier–Strokes equations along with the hyperbolic volume fraction advection equation. The major challenge that lies in Piecewise-Linear Interface Construction Volume of Fluids (PLIC-VOF) is to achieve a volume-preserving advection and an accurate reconstruction of the interface in solenoidal velocity fields. In the present work, a redistribution-based PLIC-VOF algorithm is developed and is first applied to an inertial frame of reference for simulating a cavitation bullet. The algorithm after appropriate modification for non-inertial frame of reference is used to simulate tank sloshing phenomena. To include the non-linearity a moving coordinate system is used which also avoids the complexities of moving wall boundary conditions of the tank. Kinematic stability equation is used to ensure kinematic compatibility when implementing in a non-inertial frame by defining the datum at the horizontal center of the interface at the initial time (t = 0). Comparison of the present simulation for the tank sloshing benchmark problem with the results reported in literature using Smoothed Particle Hydrodynamics (SPH) (Bota-Vera et al. 2010) shows good agreement for both non-impact and impact type slosh loads.