Upwind solution of singular differential equations arising from steady channel flows

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 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.

Additional Information	772UD COMPUT FLUIDS
Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/4940
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
Additional Information	772UD COMPUT FLUIDS
Publisher	Elsevier
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