NON-LINER CORRECTION OF «CABARET» SCHEME (PREPRINT IBRAE-1998-08)

Preprint IBRAE-98-08

Goloviznin V.M., Karabasov S.A. 

This paper examines a conservative correction mechanism enforcing positivity under big-scale space variations for a linear three time layered finite-difference scheme named «Cabaret». The distinguished features of the latter one are a spatially split time derivative, the second order of consistency for convection transfer equation and enhanced dissipation and dispersion properties. Qualities of the new algorithm are illustrated by a set of test runs for transfer equation. This technique is implemented for classical hyperbolic system of equations for the Bacley-Laverett filtration problem. It is concluded that the proposed method is more accurate than the first-order upwind discretization depicting sharp saturation front and front inversion. 

Bibliographical reference

Goloviznin V.M., Karabasov S.A. NON-LINER CORRECTION OF «CABARET» SCHEME. Preprint IBRAE-98-07. Moscow. Nuclear Safety Institute. June 1998. 17 p. — Refs.: 8 items.