Algorithmic concepts of method of solid bodies

Abstract

Method of solid bodies is included in the group of adaptive numerical methods of continuum mechanics. It is applicable for the analysis of motion of solids, liquids and gases. Using construction techniques this method provides a priori division of the generalized coordinates for the finite object of the research volume into fast and slow variables. The total number of slow variables does not exceed 6 N, where N is a number of finite volumes. The paper mentions methods of forming mathematical model of the object state relatively to the slow variables without the participation of the fast variables.

Keywords

solid body / fluid / gas / discrete element / own defining point / global and local variables / model of inertia and physical forces

RIGHTS & PERMISSIONS

Rusanov P.G.