文章基本信息

标题：The Dune FoamGrid implementation for surface and network grids
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作者：Oliver Sander ; Timo Koch ; Natalie Schröder 等
期刊名称：Archive of Numerical Software
印刷版ISSN：2197-8263
出版年度：2017
卷号：5
期号：1
页码：217-244
语种：English
出版社：Archive of Numerical Software
摘要：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.
关键词：network grids; geometric PDEs; dune; grid implementation