Paraboloid-based models of liquid-gas interfaces from volume fraction data*

In this talk, we investigate the use of semi-analytical volume integration for extracting a paraboloid model of a captured interface in the context of volume of fluid (VOF). In contrast with the height-function (HF) method, which also represents the interface as a paraboloid, we allow for the paraboloid to be arbitrarily rotated, making possible the application of the volume integration to unstructured meshes. We evaluate the performance of the paraboloid model on a range of canonical problems and discuss the calculation of error metrics such as interface normal, curvature, and neighbor-cell volume fraction. Finally, we investigate the robustness of the model to volume fraction error and the reliability of piecewise-linear interface reconstruction (PLIC) information used in the formation of the paraboloid model.