Time domain analysis of dam‐reservoir interaction: Using coupled differential quadrature and finite difference methods

Abstract

Purpose

The purpose of this paper is to propose a semi‐analytical method for studying the interaction between reservoir and concrete gravity dams.

Design/methodology/approach

The reservoir is assumed to be unbounded at the far end and the solution is sought for incompressible and in‐viscid fluid. A concrete gravity dam is assumed to behave as a cantilever beam of variable section, and the inclination of the neutral axis is ignored.

Findings

It is shown that use of the differential quadrature method (DQM), with a few grid points in conjunction with the finite difference method (FDM), yields an acceptable convergence of results. Comparing the results of the proposed method with those of the literature shows the competency of the method.

Originality/value

DQM for space derivatives and FDM for time derivatives are used to discretize the partial differential equation of motion.

Citation

Koohkan, M.R., Attarnejad, R. and Nasseri, M. (2010), "Time domain analysis of dam‐reservoir interaction: Using coupled differential quadrature and finite difference methods", Engineering Computations, Vol. 27 No. 2, pp. 280-294. https://doi.org/10.1108/02644401011022418