NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

Investigation of approximation order of invariant differential operators on movable irregular quadrangular grid

N. A. Zav'yalova

Moskow intsitute of physics and technology (state university), Department of computational mathematics, Institutskiy per. 9, Dolgoprudniy, 141701, Russia

Abstract: The a priori analysis of approximation of magnetohydrodynamic equations on irregular quadrangular analysis was performed. The values of coefficients which determine the misalignment norm for difference analogs of operators gradient and divergence were calculated. Was studied the influence of properties of grid cells on misalignment. For the numerical confirmation of obtained estimations were cited the examples of calculations with specifying identical initial data on different grids.

Keywords: approximation, misalignment, difference equation, movable grid.

UDC: 519.6

Received: 30.08.2011
Revised: 13.09.2011

DOI: 10.20537/2076-7633-2011-3-4-353-364