Comparative Study of the Fluid Interface-Capturing High-Resolution Algebraic Schemes

The present work demonstrates the qualitative and quantitative comparison between high-resolution algebraic interface-capturing schemes applied to volume of fluid (VOF) method. Basic Compressive Interface-Capturing Scheme for Arbitrary Meshes (B-CICSAM), Modified Compressive Interface-Capturing Scheme for Arbitrary Meshes (M-CICSAM), Flux-Blending Interface-Capturing Scheme (FBICS) and Cubic Upwind Interpolation Based Blending Scheme (CUIBS) are compared in the present study. Comparisons are based on the L2 norm of the mass loss and topological accuracies shown by the above schemes when subjected to the known flow field causing shearing and deformation of the fluid interface. The present study also demonstrates the performance of these schemes when applied to real-life problems such as Rayleigh–Taylor instability. It is observed that FBICS is accurate and robust as compared to other methods, whereas M-CICSAM displays comparatively similar accuracy at lower Courant values but by being computationally efficient. On the other hand, it was observed that CICSAM and CUIBS display strong dependency over the Courant values.