The Dune FoamGrid implementation for surface and network grids

Autor: Sander, Oliver, Koch, Timo, Schröder, Natalie, Flemisch, Bernd
Rok vydání: 2015
Předmět:
Zdroj: Archive of Numerical Software Vol 5 No 1 2017
Druh dokumentu: Working Paper
DOI: 10.11588/ans.2017.1.28490
Popis: We present FoamGrid, a new implementation of the DUNE grid interface. FoamGrid implements one- and two-dimensional grids in a physical space of arbitrary dimension, which allows for grids for curved domains. Even more, the grids are not expected to have a manifold structure, i.e., more than two elements can share a common facet. This makes FoamGrid the grid data structure of choice for simulating structures such as foams, discrete fracture networks, or network flow problems. FoamGrid implements adaptive non-conforming refinement with element parametrizations. As an additional feature it allows removal and addition of elements in an existing grid, which makes FoamGrid suitable for network growth problems. We show how to use FoamGrid, with particular attention to the extensions of the grid interface needed to handle non-manifold topology and grid growth. Three numerical examples demonstrate the possibilities offered by FoamGrid.
Databáze: arXiv