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Upwind solution of singular differential equations arising from steady channel flows

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Lemos, A. C., Baines, M. J. and Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220 (2004) Upwind solution of singular differential equations arising from steady channel flows. Computers & Fluids, 33 (5-6). pp. 821-827. ISSN 0045-7930

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To link to this item DOI: 10.1016/j.compfluid.2003.06.004

Abstract/Summary

We study ordinary nonlinear singular differential equations which arise from steady conservation laws with source terms. An example of steady conservation laws which leads to those scalar equations is the Saint–Venant equations. The numerical solution of these scalar equations is sought by using the ideas of upwinding and discretisation of source terms. Both the Engquist–Osher scheme and the Roe scheme are used with different strategies for discretising the source terms.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:4940
Additional Information:772UD COMPUT FLUIDS
Publisher:Elsevier
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