Time-Domain Dam-Reservoir-Interaction Analysis Based on Boundary Elements

by Dieter H. Wepf, ETH, Zurich, Switzerland,
John P. Wolf, ETH, Zurich, Switzerland,

Abstract: For a reservoir with an arbitrary shape of the upstream face and of the bottom including an adjacent regular part of constant depth extending to infinity, the hydrodynamic-stiffness matrix in the frequency domain for a displacement formulation is derived using the boundary-element method. The fundamental solution takes the boundary condition at the free surface into account. This boundary-element solution agrees well with analytical results and with those of other numerical procedures based on a time-stepping method. The method is also applied to an actual earthquake acting on a reservoir with an irregular part with an inclined bottom and a regular part extending to infinity. The results of the analysis in the time domain coincide with those determined in the frequency domain.

Subject Headings: Boundary element method | Reservoirs | Matrix (mathematics) | Dams | Drag (fluid dynamics) | Fluid-structure interaction | Arbitration

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