TIM-2D TECHNIQUE FOR SOLVING CONTINUUM MECHANICS PROBLEMS USING UNREGULAR POLYGONAL GRIDS WITH A RANDOM NUMBER OF CONNECTIONS AT NODES
S. S. Sokolov, A. A. Voropinov, I. G. Novikov, A. I. Panov, I. V. Sobolev, A. A. Pushkarev
VANT. Ser.: Mat. Mod. Fiz. Proc 2006. Вып.4. С. 29-44.
Studied here is TIM-2D technique intended for 2D continuum mechanics problems using unregular polygonal Lagrangian grids. The technique allows computations using grids with a random number of connections at nodes (cells and edges adjacent to the node). The single computational algorithm is used for all types of grids. The calculation of initial data and solution of continuum mechanics equations are carried out in cylindrical or 2D Cartesian coordinate systems. The technique is intended for gas dynamics, unsteady elastoplasticity, magnetic hydrodynamics and heat conduction problems. The explicit finite-difference schemes are used to solve gas dynamics, elastoplasticity and magnetic hydrodynamics problems; the kinematic quantities are stored in counting grid nodes, thermodynamic quantities — in cell centers. The implicit finite-difference scheme is used to solve heat- conduction problems.
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