NOTATION 



A Constant used in describing the body contour 



AB Contour of moving body 



AE Symmetry boundary of fluid region 



a Angle parameterizing the body contour 



a(e) A function used to denote the initial relation between the 



parameters a and e 



ag^(t) Value of the parameter a at the intersection of the free 



surface and the body contour 



BC Free-surface boundary of fluid region 



B^Ca, t) ,By(a, t) Functions describing the moving body contour 



b Half-beam of the body 



CD Far vertical boundary of fluid region 



ED Bottom boundary of fluid region 



e Parameter describing free surface and wetted body contour; 



perturbation parameter = hg/b 



F Dimensionless force = F'/L^o^p 



F' Dimensional force 



Fi First-order vertical force on heaving body, normalized by 



2pgb2hQ/b 



F20 Second-order sinkage on heaving body, normalized by 



2pgb2(hQ/b)2 



F21 Second-order vertical force on heaving body, normalized by 



2pgb2(hQ/b)2 



f Dummy variable used to describe a convergence criterion 



g Gravitational acceleration 



h Depth of the rectangular fluid region 



hg Amplitude of forced heave motion 



j ,k,i Location of a grid point 



