The DUNE grid module for moving interfaces

Dune-MMesh is an implementation of the DUNE [BBD+21] grid interface that is tailored for numerical applications with moving physical interfaces. The implementation based on CGAL [TCP20] triangulations supports two and three dimensional meshes and can export a predefined set of facets as a separate interface grid. In spatial dimension two, arbitrary movement of vertices is enhanced with a remeshing algorithm that implements non-hierarchical adaptation procedures. We present a collection of Examples based on the python bindings of the discretization module dune-fem [DNK+20].

  1. Bastian, M. Blatt, A. Dedner, N.-A. Dreier, C. Engwer, R. Fritze, C. Gräser, C. Grüninger, D. Kempf, R. Klöfkorn, M. Ohlberger, O. Sander. The DUNE framework: Basic concepts and recent developments. Computers & Mathematics with Applications 81, 2021, pp. 75-112.


The CGAL Project. CGAL User and Reference Manual. CGAL Editorial Board, 5.2 edition, 2020.

  1. Dedner, M. Nolte, and R. Klöfkorn. Python Bindings for the DUNE-FEM module. Zenodoo, 2020, DOI 10.5281/zenodo.3706994.