Interface normal and curvature calculation for the conservative level set method

We proposed a novel diffused interface approach for the interface normal and curvature calculation in the conservative level set method framework for both Newtonian and non-Newtonian multiphase flows. The standard benchmark of reversible vortex problem is used to test the interface capturing method for both standard and conservative level set method. In addition, the new approach is validated to accurately simulate oscillating droplet, bubble rising in a viscoelastic fluid, and droplet impact in a deep pool, in which a good agreement is obtained with analytical solutions and experimental measurements.