Fig. 5

Sketch of the processing of the interface mesh. Given an explicit representation \(\Gamma _n\), the signed distance function is generated in order to obtain an implicit geometry representation; after the increment of the surface displacements is computed, a new explicit surface mesh \(\tilde{\Gamma }_n\) is generated whose geometry nodes are updated using the displacement increment and volume conservation between \(\Gamma _n\) and \(\tilde{\Gamma }_n\), see (37)