Abstract
A key ingredient in the implementation of the finite volume method is setting up the geometrical support framework for the problem at hand. This process starts with mesh generation, which replaces the continuous domain by a discrete one formed of a contiguous set of non overlapping elements or cells delimited by a set of faces, and the defining of the physical boundaries through the marking of the boundary faces. It continues with the computation of relevant geometric information for the various components of the computational mesh, and is completed by capturing the topology of these components, i.e., how they are related and located one with respect to the other. Thus the result of the domain discretization step is not only the set of non-overlapping elements and other related geometric entities and the generated information about their geometric properties, but also the topological information about their arrangement and relations. It is this combined information that defines the finite volume mesh. The objective of this chapter is to clarify the topological and geometric requirements of the finite volume mesh.
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Moukalled, F., Mangani, L., Darwish, M. (2016). The Finite Volume Mesh. In: The Finite Volume Method in Computational Fluid Dynamics. Fluid Mechanics and Its Applications, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-319-16874-6_6
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DOI: https://doi.org/10.1007/978-3-319-16874-6_6
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