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Application of the GRP scheme to open channel flow equations

Birman, A; Falcovitz, J.


The GRP (generalized Riemann problem) scheme, originally conceived for gasdynamics, is reformulated for the numerical integration of the shallow water equations in channels of rectangular cross-section, variable width and bed profile, including a friction model for the fluid-channel shear stress. This scheme is a second-order analytic extension of the first-order Godunov-scheme, based on time-derivatives of flow variables at cell-interfaces resulting from piecewise-linear data reconstruction in...[Show more]

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Journal of Computational Physics
DOI: 10.1016/


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