Algorithm Of Advection  And Diffusion With

 Conservation Of Three Moments Of Cell Element

M. Pekar

doi:10.2495/AIR950231

Algorithm Of Advection And Diffusion With Conservation Of Three Moments Of Cell Element

Price

Free (open access)

Transaction

WIT Transactions on Ecology and the Environment

Volume

Pages

Published

1995

Size

941 kb

Paper DOI

10.2495/AIR950231

WIT Press

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

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Code

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