2007
DOI: 10.1016/j.apm.2005.11.018
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A conservative extension of the method of characteristics for 1-D shallow flows

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Cited by 17 publications
(10 citation statements)
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“…Recently developed research codes [8,9,11,12,14,15,17,56] are based on the conservative formulation of this set of hyperbolic PDE, namely…”
Section: Open-channel Flow Equationsmentioning
confidence: 99%
“…Recently developed research codes [8,9,11,12,14,15,17,56] are based on the conservative formulation of this set of hyperbolic PDE, namely…”
Section: Open-channel Flow Equationsmentioning
confidence: 99%
“…Dam break on a flat bed. The dam-break problem is the most common test to evaluate the performance of shock capturing schemes in shallow flows, such as [15]. The bottom is flat b(x) = 0 and the initial conditions are taken as:…”
Section: Numerical Resultsmentioning
confidence: 99%
“…It is based on non-conservative equations; hence, it cannot be used directly for solving discontinuous and transcritical flows [9]. On the other hand, this form provides insight into shallow water wave motion, which is not evident in the other forms.…”
Section: Externalmentioning
confidence: 99%
“…Crossely and Wright [4] applied two local time stepping (LTS) strategies to simulate the one-dimensional unsteady water flows. Mohammadian et al [9] carried forward an extension to the non-conservative method of characteristics (MOC). By using a proper interpolation function, the MOC is rendered conservative and can handle challenging tests for the one-dimensional open-channel flow (dam-break type, transcritical flows).…”
Section: Numerical Model Selectionmentioning
confidence: 99%