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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2012 Volume 52, Number 3, Pages 447–460 (Mi zvmmf9669)

This article is cited in 24 papers

On the strong monotonicity of the CABARET scheme

V. V. Ostapenko

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090 Russia

Abstract: The strong monotonicity of the CABARET scheme with single flux correction is analyzed as applied to the linear advection equation. It is shown that the scheme is strongly monotone (has the NED property) at Courant numbers $r\in (0,0.5]$, for which it is monotone. Test computations illustrating this property of the CABARET scheme are presented.

Key words: CABARET finite difference scheme, strong monotonicity, flux corrected transport.

UDC: 519.63

Received: 02.09.2011


 English version:
Computational Mathematics and Mathematical Physics, 2012, 52:3, 387–399

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