Anti-diffusion in central difference scheme at steady-state transport equation

• Autores: Rashedul Islam, David Z. Zhu
• Localización: Progress in computational fluid dynamics: an international journal, ISSN 1468-4349, Vol. 11, no. 1, 2011, págs. 1-5
• Idioma: inglés
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• Resumen

  • 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.