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Exponential compact higher order scheme and their stability analysis for unsteady convection-diffusion equations

Mishra, Nachiketa and Sanyasiraju, YVSS (2014) Exponential compact higher order scheme and their stability analysis for unsteady convection-diffusion equations. In: International Journal of Computational Methods, 11 (1). 1350053_1-1350053_18.

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Official URL: http://dx.doi.org/10.1142/S0219876213500539

Abstract

Exponential compact higher-order schemes have been developed for unsteady convection-diffusion equation (CDE). One of the developed scheme is sixth-order accurate which is conditionally stable for the Peclet number 0 <= Pe <= 2.8 and the other is fourth-order accurate which is unconditionally stable. Schemes for two-dimensional (2D) problems are made to use alternate direction implicit (ADI) algorithm. Example problems are solved and the numerical solutions are compared with the analytical solutions for each case.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to World Scientific Publishing Company.
Keywords: Unsteady Convection-Diffusion Equation; Exponential Scheme; Compact Higher-Order Scheme; ADI Method; Stability
Department/Centre: Division of Interdisciplinary Research > Supercomputer Education & Research Centre
Depositing User: Francis Jayakanth
Date Deposited: 29 Oct 2013 05:44
Last Modified: 29 Oct 2013 05:44
URI: http://eprints.iisc.ac.in/id/eprint/47536

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