Upwind solution of singular differential equations arising from steady channel flowsTools  Lemos, A. C., Baines, M. J. and Nichols, N. K. (2004) Upwind solution of singular differential equations arising from steady channel flows. Computers & Fluids, 33 (5-6). pp. 821-827. ISSN 0045-7930 Full text not archived in this repository. Official URL: http://dx.doi.org/10.1016/j.compfluid.2003.06.004 Abstract/SummaryWe 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.
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