تحليل غيرخطي فشار هيدروديناميكي ناشي از زلزله بر بدنه سدهاي وزني صلب با استفاده از حل معادلات ناوير- استوكس با روش احجام محدود

Nonlinear Analysis of Earthquake Hydrodynamic Pressure on Gravity Dam Body via The Solution of Navier Stokes Equations Using The Finite Volume Method

In this paper a nonlinear analysis of the earthquake hydrodynamic pressure on dam bodies using the Navier Stokes equations is used. The finite volume method SIMPLEC scheme for discretization of the Navier Stokes and continuity equations are utilized. Boundary conditions on the dam body and reservoir bed were applied. The nonlinear discretized equations were solved using Thomas algorithm by an iterative scheme. The hydrodynamic force exerted on the dam body was obtained by the integration of the calculated pressures. This Force is a function of time and hence it can be determined at any time interval. A computer program using the visual basic language was developed for the analysis to determine velocity components, pressures at nodal points of the reservoir grid including the face of the dam body, and reservoir water surface profile as a function of time due to an earthquake considering surface waves and nonlinear convective terms. Results were compared to those obtained by other researchers. The comparison indicates that the accuracy and convergence are quite satisfactory. The results were also compared with an analytical solution to investigate influences of surface waves and nonlinear convective terms.