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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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 |
|---|---|
| Publication: | International Journal of Computational Methods |
| Publisher: | World Scientific Publishing Company |
| 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 Sciences > Supercomputer Education & Research Centre |
| 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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