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A TLM method for steady‐state convection–diffusion: Some additions and refinements

Kennedy, Alan H. ORCID: 0000-0002-8588-0953 and O'Connor, William J. ORCID: 0000-0002-3707-9993 (2008) A TLM method for steady‐state convection–diffusion: Some additions and refinements. International Journal for Numerical Methods in Engineering, 77 (4). pp. 518-535. ISSN 0029-5981

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Abstract

A recent paper introduced a novel and efficient scheme, based on the transmission line modelling (TLM) method, for solving steady-state convection–diffusion problems. This paper shows how this one-dimensional scheme can be adapted to include reaction and source terms and how it can be implemented with non-equidistant nodes. It introduces new ways of calculating the necessary model parameters which can improve the accuracy of the scheme, shows how steady-state solutions can be obtained directly, and compares results with those from two finite difference (FD) methods. While the cost of implementation is higher than for the FD schemes, the new TLM scheme can be significantly more accurate, especially when convection dominates.

Item Type:Article (Published)
Refereed:Yes
Subjects:UNSPECIFIED
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Mechanical and Manufacturing Engineering
Publisher:John Wiley & Sons
Official URL:https://dx.doi.org/10.1002/nme.2423
Copyright Information:© 2008 John Wiley & Sons
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
ID Code:27266
Deposited On:26 May 2022 13:54 by Alan Kennedy . Last Modified 26 May 2022 14:51

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