Sj. Desilva et al., IRREGULAR POINTS IN 2-D FREE-SURFACE FLOWS WITH SURFACE-TENSION FOR THE WAVE-MAKER BOUNDARY-VALUE PROBLEM, Applied ocean research, 18(6), 1996, pp. 293-302
Oscillatory, two dimensional free-surface, irrotational flows of an in
compressible fluid are treated numerically. Rather than basing the tre
atment on perturbation expansions, the unknown fluid domain bounded by
a free surface is mapped onto a rectangular domain. This has the effe
ct of exchanging a boundary value problem for a linear, constant coeff
icient Laplace equation having nonlinear boundary conditions into a no
nlinear elliptic equation specified on the known rectangular domain. I
n the known transformed domain, compatibility conditions at the corner
s are derived, the boundary value problem is solved and the results ar
e transformed back to the original domain. (C) 1997 Elsevier Science L
imited.