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Труды Института механики им. Р.Р. Мавлютова
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Proceedings of the Mavlyutov Institute of Mechanics





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Gafarova Yu.A. Numerical implementation of finite-element method of control volume using irregular mesh Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 7 (2010). 98–108.
2010. Vol. 7. Issue 1, Pp. 98–108
URL: http://proc.uimech.org/uim2010.1.008,en
DOI: 10.21662/uim2010.1.008
Numerical implementation of finite-element method of control volume using irregular mesh
Gafarova Yu.A.
Institute of Mechanics, Ufa

Abstract

To solve problems with complex geometry it is considered the possibility of application of irregular mesh and the use of various numerical methods using them. Discrete analogues of the Beltrami-Mitchell equations are obtained by the control volume method using the rectangular grid and the finite element method of control volume using the Delaunay triangulation. The efficiency of using the Delaunay triangulation, Voronoi diagrams and the finite element method of control volume in a test case is demonstrated.