López, JoaquínEsteban Paz, AdolfoHernández Rodríguez, JulioGómez del Pino, Pablo JoaquínZamora, RosendoZanzi, ClaudioFaura, Félix2025-01-282025-01-282021-11Joaquín López, Adolfo Esteban, Julio Hernández, Pablo Gómez, Rosendo Zamora, Claudio Zanzi, Félix Faura, A new isosurface extraction method on arbitrary grids, Journal of Computational Physics, Volume 444, 2021, 110579, ISSN 0021-9991, https://doi.org/10.1016/j.jcp.2021.110579.0021-9991https://doi.org/10.1016/j.jcp.2021.110579https://hdl.handle.net/20.500.14468/25595La versión registrada de este artículo, publicado por primera vez en Journal of Computational Physics, Volume 444, 2021, 110579, ISSN 0021-9991, está disponible en línea en el sitio web del editor: https://doi.org/10.1016/j.jcp.2021.110579. The copyrighted version of this article, first published in Journal of Computational Physics, Volume 444, 2021, 110579, ISSN 0021-9991, is available online on the publisher's website: https://doi.org/10.1016/j.jcp.2021.110579.The development of interface-capturing methods (such as level-set, phase-field or volume of fluid (VOF) methods) for arbitrary 3D grids has further highlighted the need for more accurate and efficient interface reconstruction procedures. In this work, we propose a new method for the extraction of isosurfaces on arbitrary polyhedra that can be used with advantage for this purpose. The isosurface is extracted from volume fractions by a general polygon tracing procedure, which is valid for convex or non-convex geometries, even with non-planar faces. The proposed method, which can be considered as an extension of the marching cubes technique, produces consistent results even for ambiguous situations in polyhedra of arbitrary shape. To show the reproducibility of the results presented in this work, we provide the open source library isoap, which has been developed to implement the proposed method and includes test programs to demonstrate the successful extraction of isosurfaces on several grids with polyhedral cells of different types. We present results obtained not only for isosurface extraction from discrete volume fractions resulting from a volume of fluid method, but also from data sets obtained from implicit mathematical functions and signed distances to scanned surfaces. The improvement provided by the proposed method for the extraction of isosurfaces in arbitrary grids will also be very useful in other fields, such as CFD visualization or medical imaging.eninfo:eu-repo/semantics/openAccess33 Ciencias TecnológicasartículoVolume of fluid methodinterface reconstructionisosurface extractionnon-convex polyhedraunstructured irregular gridssigned distance