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Detection of multiple solutions using a mid-cell back substitution technique applied to computational fluid dynamics

Kendall, S. R. and Rao, H.V. (2000) Detection of multiple solutions using a mid-cell back substitution technique applied to computational fluid dynamics. Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, 214 (11). pp. 1401-1407. ISSN 09544062

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Abstract

Computational models for fluid flow based on the Navier-Stokes equations for compressible fluids led to numerical procedures requiring the solution of simultaneous non-linear algebraic equations. These give rise to the possibility of multiple solutions, and hence there is a need to monitor convergence towards a physically meaningful flow field. The number of possible solutions that may arise is examined, and a mid-cell back substitution technique (MCBST) is developed to detect and avoid convergence towards apparently spurious solutions. The MCBST was used successfully for flow modelling in micron-sized flow passages, and was found to be particularly useful in the early stages of computation, optimizing the speed of convergence

Item Type: Article
Additional Information: Published in the Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, 214,11,2000. Copyright ©2000 Professional Engineering Publishing.
Subjects: T Technology > T Technology (General)
T Technology > TJ Mechanical engineering and machinery
Schools: School of Computing and Engineering
Depositing User: Sara Taylor
Date Deposited: 24 Oct 2008 11:17
Last Modified: 21 Aug 2015 13:04
URI: http://eprints.hud.ac.uk/id/eprint/2470

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