ANALYTICAL-NUMERICAL SOLUTION FOR HYDRODYNAMIC PRESSURES ON DAMS WITHSLOPING FACE CONSIDERING COMPRESSIBILITY AND VISCOSITY OF WATER

An analytical-numerical solution is developed for hydrodynamic pressur es on rigid dams with nonvertical upstream faces, including the effect s of both compressibility and viscosity of the water. The solution is obtained by a special boundary method using a complete set of Trefftz functions, which satisfy the governing equation of motion and all boun dary conditions except that at the upstream dam face. The pressure dis tribution is expressed as a linear combination of the natural modes of water in the reservoir and participation factors. The unknown coeffic ients of this expansion are obtained from the continuous treatment of the remaining boundary condition in the least-squares sense. Numerical results are presented for different geometries of the dam-liquid inte rface, and comparisons with other solutions are provided to show the e ffectiveness and efficiency of the proposed solution. (C) 1998 Elsevie r Science Ltd.