A TECHNIQUE FOR NUMERICAL SIMULATION OF 2D FLOWS OF DISPERSE MEDIA USING LAGRANGIAN-EULERIAN COMPUTATIONAL GRIDS
M. S. Samigulin, V. F. Spiridonov, O. A. Voronova, Yu. F. Danilov, V. V. Shkarubskii, A. N. Tarasova, P. A. Avdeev, M. V. Artamonov, S. V. Velichko
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.4. С. 31-43.
The technique offered in the paper is based on the model of disperse medium in which the carrier component dynamics is described in the continual (Eulerian) approximation and the disperse component dynamics is described in the discrete (Lagrangian) approximation. The requirement of equal pressures of components, or incompressibility of the disperse component is used for the condition of joint strain of the both medium components. During the numerical simulation the disperse component is partitioned into quasi-particles, i.e. groups of particles of the same size, mass, velocity, and temperature. The difference equation system is solved by splitting in processes on a Lagrangian-Eulerian computational grid. Results of computations for three test problems having exact solutions are presented.Keywords: dynamics of disperse media, numerical simulation, mathematical model, solution method, verification.
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