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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2008 Volume 20, Number 2, Pages 59–75 (Mi mm2149)

This article is cited in 4 papers

On a method of conservative remapping on hexahedral meshes

B. N. Azarenok

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Abstract: A method of the conservative interpolation of physical parameters from the old structured hexahedral mesh to the new hexahedral mesh is considered. Conservative remapping is reduced to determining the volume of the overlapping figure between the old mesh cells and new mesh cells. The cell with the ruled faces is substituted for two dodecahedra with planar triangular faces. Thus, the interpolation is reduced to the problem of constructing the overlapping figure between two dodecahedra. For the underlying new mesh cell, the optimal algorithm of selecting the old mesh cells with nontrivial intersection is suggested. Interpolation error estimate is performed. Examples of remapping are presented.

Received: 26.09.2006


 English version:
Mathematical Models and Computer Simulations, 2009, 1:1, 51–63

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© Steklov Math. Inst. of RAS, 2026