A conservative finite difference method and its application for the analysis of a transient flow around a square prism

Detailed results of numerical calculations of transient, 2D incompressible flow around and in the wake of a square prism at Re = 100, 200 and 500 are presented. An implicit finite‐difference operator‐splitting method, a version of the known SIMPLEC‐like method on a staggered grid, is described. Appropriate theoretical results are presented. The method has second‐order accuracy in space, conserving mass, momentum and kinetic energy. A new modification of the multigrid method is employed to solve the elliptic pressure problem. Calculations are performed on a sequence of spatial grids with up to 401 × 321 grid points, at sequentially halved time steps to ensure grid‐independent results. Three types of flow are shown to exist at Re = 500: a steady‐state unstable flow and two which are transient, fully periodic and asymmetric about the centre line but mirror symmetric to each other. Discrete frequency spectra of drag and lift coefficients are presented.</jats:p

Computation of tensions in composite body by the method of finite superelements

Abstract: Present preprint is the continuation of the papers [1], [2]. The structure and principles of organization of program are described in this work. They allow to carry out the calculation in the domain of complex form. Adaptive multigrid iterative algorithm is constructed. And the results of the calculations are given.Note: Research direction:Mathematical modelling in actual problems of science and technic

Nuclear Reactor as Stiff System. 5. Main Eigenvalue Problem.

Abstract: The method of solving the main eigenvalue problem for difference approximation of neutron field equations is described. It is based on the simultaneous relaxation of equations for all energetic groups and on multigrid acceleration of the convergence speed. The results of numerical experiments are cited. They show the efficiency and reliability of the method.Note: Research direction:Mathematical modelling in actual problems of science and technic

Calculation of the stress state of the 3-dim. composite body

Abstract: Present preprint is the continuation of the papers [1], [2]. The structure and principles of organization of program are described in this work. They allow to carry out the calculations in the domain of complex form. Adaptive multigrid iterative algorithm is constructed. And the results of the computer experiment are discussed. We’ve paid much attention to the degree of convergence of iterations and the accuracy of approximate solution.Note: Research direction:Mathematical modelling in actual problems of science and technic