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Russia Izhevsk
Section Mathematics
Title Conservative interpolation method between non-matching surface meshes
Author(-s) Karavaev A.S.a, Kopysov S.P.a, Kuz'min I.M.a
Affiliations Institute of Mechanics, Ural Branch of the Russian Academy of Sciencesa
Abstract In this paper, we consider a problem of conservative interpolation data between non-matching surface meshes. We develop a new interpolation method based on voxel representation of the mesh followed by the evaluation of intersection area of each voxel with mesh cells. The mass of cells of the resulting mesh is represented through a linear combination of the known mass of parent cells. The method allows us to consider the problem of interpolation on curved surfaces when it is impossible to define the grid cells geometric intersection. The method was validated by numerical simulation of data interpolation based on various functions for the non-matching meshes describing plane and curved surfaces. The method of voxel interpolation was compared to the interpolation algorithm based on radial basis functions of different smoothness degree.
Keywords conservative interpolation, voxel mesh, non-matching surface mesh
UDC 519.65
MSC 65D05
DOI 10.20537/vm140405
Received 1 November 2014
Language Russian
Citation Karavaev A.S., Kopysov S.P., Kuz'min I.M. Conservative interpolation method between non-matching surface meshes, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2014, issue 4, pp. 64-75.
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