Author(s)

M. Pekar

Abstract

The suggested quasi-Lagrangian scheme is aimed at the simulation of individual mass elements transport with minimization of numerical diffusion. The projection of particle onto the grid is made by a simple algorithm similar to the upwind-scheme. The element distribution with a cell is characterized by three moments (and by six moments on two-dimensional grid). The minimization of numerical diffusion is realized at the stage of reconstruction - re-establishment of the distribution with moments conservation. A simple algorithm of reconstruction makes it possible to conserve both variances and covariance and to introduce complementary diffusion. When the diffusion is absent slight non- monotony is observed. The introduced diffusion is of a subgrid character. The scheme accurately responds to its

Keywords