Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/8215
Title: Development of finite difference schemes near an inflow boundary
Authors: Sousa, E. 
Issue Date: 2006
Citation: International Journal for Numerical Methods in Engineering. 68:2 (2006) 210-230
Abstract: Numerical schemes for a convection-diffusion problem defined on the whole real line have been derived by Morton and Sobey (IMA J. Numer. Anal. 1993; 13:141-160) using the exact evolution operator through one time step. In this paper we derive new numerical schemes by using the exact evolution operator for a convection-diffusion problem defined on the half-line. We obtain a third-order method that requires the use of a numerical boundary condition which is also derived using the same evolution operator. We determine whether there are advantages from the point of view of stability and accuracy in using these new schemes, when compared with similar methods obtained for the whole line. We conclude that the third-order scheme provides gains in terms of stability and although it does not improve the practical accuracy of existing methods faraway from the inflow boundary, it does improve the accuracy next to the inflow boundary. Copyright © 2006 John Wiley & Sons, Ltd.
URI: http://hdl.handle.net/10316/8215
DOI: 10.1002/nme.1708
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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