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iDEA: DREXEL LIBRARIES E-REPOSITORY AND ARCHIVES

iDEA: DREXEL LIBRARIES E-REPOSITORY AND ARCHIVES

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A new approach for implementing the HLL approximate riemann solver for one-dimensional dam-break flows

Details
Title
A new approach for implementing the HLL approximate riemann solver for one-dimensional dam-break flows
Author(s)
Ying, Xinya; Wang, Sam S.Y.
Keywords
Modeling of confined flows; Computational hydraulics
Date
2006-09-13
Abstract
Several new techniques are proposed to overcome the deficiencies in the conventional formulation of the approximate Riemann solvers for one-dimensional dam-break flows, which include numerical imbalance and failure to satisfy mass conservation. The former arises in the case of irregular geometry and the latter in the presence of a hydraulic jump. These new techniques include: (1) adopting the form of the Saint Venant equations which include only one source term representing driving forces; (2) using water surface level as one of the primitive variables, in stead of crosssectional area; (3) defining discharge at interface and evaluating it according to the flux obtained by the HLL Riemann solver (Harten et al 1983). The performance of the resulting schemes is evaluated by means of theoretical analysis and various test examples, including ideal dam-break flows with dry bed, hydraulic jump, steady flow over bump with hydraulic jump, and a real-life dam-break flow in natural river valley with complex geometry. It is demonstrated that the scheme has excellent numerical balance and mass conservation property and is capable of satisfactorily reproducing various complicated open channel flows.
Citation
Proceedings of the Seventh International Conference on Hydroscience and Engineering, Philadelphia, PA, September 2006. http://hdl.handle.net/1860/732
URI
http://hdl.handle.net/1860/1358
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Drexel Research

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