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• W2336769508 abstract "The goal of this work is to extend finite volume schemes to the hyperbolic balance laws with geometrical source term. Mixed regions of flow are considered when a super-critical to sub-critical transition takes place and hydraulic jumps occur. In this work, the shallow water equations are used to solve the open- channel flow. The equations are converted to discrete form using cell centre finite volume method for triangular unstructured meshes. For obtaining stable numerical solution, the biharmonic operator that can be computed in some certain computational stages, but its value adds to the equations in all computational steps. For preventing excessively long run times, local time stepping is used, whereby the computations on individual cells are advanced by their own maximum allowable time steps. Using cell center finite volume method for discrete formulations, proper algorithm is adopted for accurate numerical solution by considering grids, boundary conditions transferring information between nodes and centeroids of cells. The accuracy of the computed results is validated by modeling mixed sub and super critical flow in a channel with variable bottom elevation and width. Comparison of the computed water elevation with analytical solution obtained from the theoretical solution for the frictionless free surface flow shows encouraging agreements." @default.
• W2336769508 created "2016-06-24" @default.
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• W2336769508 date "2007-01-01" @default.
• W2336769508 modified "2023-10-12" @default.
• W2336769508 title "Accurate and Efficient Numerical Solution for Trans-critical Steady Flow in a Channel with Variable Geometry" @default.
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• W2336769508 hasPublicationYear "2007" @default.
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