Robust Three-Dimensional Level-Set Method for Evolving Fronts on Complex Unstructured Meshes

Figure 4

Domain of dependence of the edge- and cell-based approaches. The gray region in the figure shows the ideal domain of dependence with which to estimate . , , and overlap with the gray region. Including cells and in the calculation introduces information from and , which are not supposed to be included since they lie outside the gray region. Excluding and , however, results in a lack of robustness.