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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 1, Pages 99–117 (Mi zvmmf4814)

This article is cited in 4 papers

A technique for constructing spatial adaptive grids

I. A. Vasevaa, A. V. Kofanovb, V. D. Liseĭkina, Yu. V. Likhanovaa, A. M. Kharitonchikb

a Institute of Computing Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia

Abstract: New results concerning the technology for adaptive 3D grid generation are obtained. This technology is based on the numerical solution of the inverted one-, two-, and three-dimensional Beltrami and diffusion equations with respect to the monitor metric. The one- and two-dimensional equations are used to generate grids on the edges and the faces of the domain, respectively. The three-dimensional equations are used to generate a grid in the interior of the domain. Examples of adaptive 3D hexahedral and prismatic grids are demonstrated.

Key words: three-dimensional grid generation methods, numerical solution of Beltrami and diffusion equations, hexahedral and prismatic grids.

UDC: 519.63

Received: 12.02.2009
Revised: 03.07.2009


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:1, 93–111

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