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An appropriate mesh representation for tetrahedral finite volume computations

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Abstract

The amounts of information used for the solution of three-dimensional partial differential equations in engineering applications is formidable. Part of the problem is that in unstructured meshes (adequate for advanced numerical techniques) the information is local in nature. An alternate representation of an unstructured tetrahedral mesh is proposed. Besides having some storage advantages over representations commonly used for finite volume computations, we show that preprocessing complexity is lower than in the conventional representation. The resulting simplified structure may result in significant gains for applications that go through a number of mesh refinement cycles.

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References

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Guerinoni, F. An appropriate mesh representation for tetrahedral finite volume computations. J Sci Comput 6, 305–321 (1991). https://doi.org/10.1007/BF01062815

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  • DOI: https://doi.org/10.1007/BF01062815

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