Anti-diffusion in central difference scheme at steady-state transport equation. (20th December 2010)

• Record Type: Journal Article
• Authors: Islam, Md. Rashedul; Zhu, David Z.
• Is Part Of: Progress in computational fluid dynamics. Volume 11:Number 1(2011)
• Page Start: 1
• Page End: 5
• Publication Date: 2010-12-20
• Subjects: central difference -- anti-diffusion -- steady-state transport equations -- numerical oscillation -- scalar transport equations -- cell-Peclet number -- inhomogenous equation; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

This study shows that the central difference scheme causes anti-diffusion when applied to a steady-state one-dimensional scalar transport equation. This behaviour is opposite to the upwind scheme which adds numerical diffusion. An iterative anti-diffusion correction algorithm is developed, which eliminates anti-diffusion and reduces cell-Peclet number. This correction, in turn, eliminates or minimises numerical oscillation. This correction scheme is formulated for the inhomogenous equation and for two-dimensional problem as well.