A well-balanced unsplit finite volume model with geometric flexibility

Title
A well-balanced unsplit finite volume model with geometric flexibility
Author(s)
김진호김병현[김병현]김태형[김태형]한건연[한건연]
Keywords
SHALLOW-WATER EQUATIONS; HYPERBOLIC CONSERVATION-LAWS; SOURCE TERMS; DAM-BREAK; NUMERICAL-MODEL; SIMULATION; SCHEMES; FLOWS; TOPOGRAPHY; GRADIENT
Issue Date
201405
Publisher
JOURNAL VIBROENGINEERING
Citation
JOURNAL OF VIBROENGINEERING, v.16, no.3, pp.1574 - 1589
Abstract
A two-dimensional finite volume model is developed for the unsteady, and shallow water equations on arbitrary topography. The equations are discretized on quadrilateral control volumes in an unstructured arrangement. The HLLC Riemann approximate solver is used to compute the interface fluxes and the MUSCL-Hancock scheme with the surface gradient method is employed for second-order accuracy. This study presents a new method for translation of discretization technique from a structured grid description based on the traditional (i, j) duplet to an unstructured grid arrangement based on a single index, and efficiency of proposed technique for unsplit finite volume method. In addition, a simple but robust well-balanced technique between fluxes and source terms is suggested. The model is validated by comparing the predictions with analytical solutions, experimental data and field data including the following cases: steady transcritical flow over a bump, dam-break flow in an adverse slope channel and the Malpasset dam-break in France.
URI
http://hdl.handle.net/YU.REPOSITORY/32202
ISSN
1392-8716
Appears in Collections:
공과대학 > 기계공학부 > Articles
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