393916 - Development of Analytical Solutions for Wave Propagation Characteristics Along Rivers and for Verifying the Regional Simulation Model RSM
Tuesday, June 5
8:30 AM - 10:00 AM
Location: Greenway IJ
Randy Van Zee, Principal Scientist – South Florida Water Management District; Walter Wilcox, P.E. – South Florida Water Management District
Wave propagation speeds and attenuation rates of flood waves and tidal waves traveling along canals depend on river flow, seepage flow and overbank flow characteristics. Analytical solutions to these problems are useful when verifying accuracy of integrated models designed to simulate integrated river basins. For the solution to be accurate, (a) the numerical model for the St Venant’s equation has to be accurate; (b) the numerical model for the 2-D diffusion or groundwater flow equation has to be accurate; (c) the internal boundary conditions for the 1-D and 2-D model interface should have the correct flow continuity and head compatibility conditions; (d) the discretizations for the 1-D and 2-D models have to be correct. The Regional Simulation Model (RSM) (SFWMD 2005, Lal et al. 2005, HY131-4) uses a fully coupled and fully implicit numerical solution method to resolve these issues.
The analytical solutions to the problem were developed using small perturbations analysis, assuming a small sinusoidal wave travelling along the canal. Results of the analysis show that three dimensionless parameters are responsible for the analytical solutions for wave propagation characteristics. Various numerical solutions for the same problem obtained using the RSM model are compared with the analytical solutions to show that results from analytical and numerical models agree within numerical accuracy.