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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, Issue 4, Pages 64–75 (Mi vuu451)  

This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Conservative interpolation method between non-matching surface meshes

A. S. Karavaev, S. P. Kopysov, I. M. Kuz'min

Institute of the Mechanics, Ural Branch of the Russian Academy of Sciences, ul. T. Baramzinoi, 34, Izhevsk, 426067, Russia

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.

Full text: PDF file (566 kB)
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UDC: 519.65
MSC: 65D05
Received: 01.11.2014

Citation: A. S. Karavaev, S. P. Kopysov, I. M. Kuz'min, “Conservative interpolation method between non-matching surface meshes”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4, 64–75

Citation in format AMSBIB
\Bibitem{KarKopKuz14}
\by A.~S.~Karavaev, S.~P.~Kopysov, I.~M.~Kuz'min
\paper Conservative interpolation method between non-matching surface meshes
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2014
\issue 4
\pages 64--75
\mathnet{http://mi.mathnet.ru/vuu451}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. M. Kuzmin, L. E. Tonkov, A. A. Chernova, “Chislennoe modelirovanie vzaimodeistviya sverkhzvukovogo potoka gaza s deformiruemym soplom”, KhFM, 17:4 (2015), 531–537  mathnet
    2. A. S. Karavaev, S. P. Kopysov, “Poshagovyi kontaktnyi algoritm na osnove metoda dekompozitsii Shvartsa dlya deformiruemykh tel”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 27:3 (2017), 396–413  mathnet  crossref  elib
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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