A numerical solution algorithm based on finite volume method is developed for
unsteady, two-dimensional, depth-averaged shallow water flow equations. The model
is verified using test cases from the literature and free surface data obtained from
measurements in a laboratory flume. Experiments are carried out in a horizontal,
rectangular channel with vertical solid boxes attached on the sidewalls to obtain freesurface
data set in flows where three-dimensionality is significant. Experimental data
contain both subcritical and supercritical states. The shallow water equations are
solved on a structured, rectangular grid system. Godunov type solution procedure
evaluates the interface fluxes using an upwind method with an exact Riemann solver.
The numerical solution reproduces analytical solutions for the test cases successfully.
Comparison of the numerical results with the experimental two-dimensional free
surface data is used to illustrate the limitations of the shallow water equations and
improvements necessary for better simulation of such cases.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/1089523/index.pdf |
| Date | 01 January 2003 |
| Creators | Yilmaz, Burak |
| Contributors | Aydin, Ismail |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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