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A level set (LS) formulation is presented for computing two-phase flows on nonorthogonal grids. Compared with the volume-of-fluid (VOF) method based on a nonsmooth volume-fraction function, the LS method can calculate an interface curvature more accurately by using a smooth distance function. It is also more straightforward to implement for two- and three-dimensional irregular meshes than the VOF method, which requires much more complicated geometric calculations. The LS formulation on nonorthogonal grids is verified through computations of free-surface motions in two and three dimensions. Also, an efficient formulation for contact angle modeling is incorporated into the LS method to simulate droplet motion on an inclined wall.
Acknowledgments
This work was supported by the Korean Ministry of Science and Technology through Grant M1-0129-00-0001.