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In this paper, we are concerned with deterministic wave generation in ahydrodynamic laboratory. A linear wavemaker theory is developed based on thefully dispersive water wave equations. The governing field equation is theLaplace equation for potential flow with several boundary conditions: thedynamic and kinematic boundary condition at the free surface, the lateralboundary condition at the wavemaker and the bottom boundary condition. In thiswork, we consider both single-flap and double-flap wavemakers. The velocitypotential and surface wave elevation are derived, and the relation between thepropagating wave height and wavemaker stroke is formulated. This formulation isthen used to find how to operate the wavemaker in an efficient way to generatethe desired propagating waves with minimal disturbances near the wavemaker.

Linear theory for single and double flap wavemakers