TECHNIQUE TIM FOR CALCULATION OF THREE-DIMENSIONAL PROBLEMS OF MECHANICS OF CONTINUA ON UNSTRUCTURED POLYHEDRAL LAGRANGIAN GRIDS
S. S. Sokolov, A. L Panov, A. A, Voropinov, I. G. Novikov, I. V. Sobolev, A. V, Yalozo
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. Вып.3. С. 37-52.
Technique TIM destined for calculation of three-dimensional problems of mechanics of continua on unstructured polyhedral Lagrangian grids is considered. The technique allows to carry out calculations on grids with arbitrary number of relations in nodes (the number of adjoining meshes, edges and faces). The technique is operable on unstructured polyhedral grids of Dirichlet—Voronoy type (four edges converge in each node), on hexahedral grids (six edges converge in each node) and on unstructured polyhedral grids with arbitrary number of relations in nodes. Single calculating algorithms are used for all types of grids. Calculation of initial data and solution of mechanics of continua problems are carried out on the right Cartesian display. To numerically solve the problems of gas-dynamics, nonstationary elastoplastic- ity and magnetohydrodynamics explicit finite-difference schemes are used; kinematic quantities are kept in countable grid nodes and thermodynamic quantities — in mesh centers. To calculate heat conductivity problems implicit finite-difference scheme is applied.
|
English
