On the calculation of border and contact nodes by grid-characteristic method on non-periodic tetrahedral grids

A. O. Kazakov

Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow region, 141700 Russia

Abstract: Grid-characteristic method for the numerical simulation of wave processes in continuum mechanics was initially proposed and successfully applied to periodic hexagonal computational grids. Later, it was proposed to adapt this method to non-periodic triangle and tetrahedral grids, and a broad computational experience has been gained by now. However, this approach encounters some challenges with the calculation of border and contact points when applied to various grid configurations in the areas with complex geometries. In this paper, the method limitations, which cause the problems is considered, and some improvements to overcome them are proposed.

Key words: grid-characteristic method, non-periodic computational grids, tetrahedral and triangle grids.

UDC: 519.63

Received: 22.12.2017
Revised: 27.02.2018

DOI: 10.15372/SJNM20180403

 English version: Numerical Analysis and Applications, 2018, 11:4, 298–310

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