ANALYTICAL–NUMERICAL SOLUTION FOR HYDRODYNAMIC PRESSURES ON DAMS WITH SLOPING FACE CONSIDERING COMPRESSIBILITY AND VISCOSITY OF WATER

✍ Scribed by Javier Avilés; Xiangyue Li

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 300 KB
• Volume: 66
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(97)00091-6

✦ Synopsis

AbstractÐAn analytical±numerical solution is developed for hydrodynamic pressures on rigid dams with nonvertical upstream faces, including the eects of both compressibility and viscosity of the water. The solution is obtained by a special boundary method using a complete set of Tretz functions, which satisfy the governing equation of motion and all boundary conditions except that at the upstream dam face. The pressure distribution is expressed as a linear combination of the natural modes of water in the reservoir and participation factors. The unknown coecients of this expansion are obtained from the continuous treatment of the remaining boundary condition in the least-squares sense. Numerical results are presented for dierent geometries of the dam±liquid interface, and comparisons with other solutions are provided to show the eectiveness and eciency of the proposed solution.