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Explicit group methods in the solution of the 2-D convection-diffusion equations

Explicit group methods in the solution of the 2-D convection-diffusion equations

Bee, Tan Kah, Ali, Norhashidah Hj. M. and Lai, Choi-Hong (2010) Explicit group methods in the solution of the 2-D convection-diffusion equations. In: WCE 2010 - World Congress on Engineering 2010. Newswood Ltd., Hong Kong, pp. 1799-1804. ISBN 9789881821089 ISSN 2078-0958 (Print), 2078-0966 (Online)

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Abstract

In this paper, we present the four points Explicit
Group (EG) and Explicit Decoupled Group (EDG) schemes for
solving the two dimensional convection-diffusion equation with initial and Dirichlet boundary conditions. The EG method is derived from the centred difference approximation whilst EDG is derived from the rotated difference operator expressed in coordinates rotated 450 with respect to the standard mesh.These new formulations are shown to be unconditionally stable and the robustness of these new formulations over the existing point Crank-Nicolson scheme demonstrated through numerical experiments.

Item Type: Conference Proceedings
Title of Proceedings: WCE 2010 - World Congress on Engineering 2010
Additional Information: This paper forms part of the published proceedings from the World Congress on Engineering 2010, WCE 2010 held in London 30 June-2 July 2010
Uncontrolled Keywords: explicit group, explicit decoupled group, convection-diffusion, Crank-Nicolson, rotated Crank-Nicolson
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Related URLs:
Last Modified: 14 Oct 2016 09:19
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/7624

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