id: 00525565
dt: j
an: 00525565
au: Petrov, A.G.; Smolyanin, V.G.
ti: Computation of non-stationary waves on the surface of a heavy liquid of
    finite depth.
so: J. Appl. Math. Mech. 57, No.4, 729-737 (1993); translation from Prikl. Mat.
    Mekh. 57, No.4, 137-143 (1993).
py: 1993
pu: Pergamon Press, Tarrytown, NY
la: EN
cc: 
ut: spatially periodic capillary-gravitational waves; equation for the
    curvature; collapse of a wave; jet formation; large-amplitude
    oscillations
ci: 
li: doi:10.1016/0021-8928(93)90043-L
ab: Summary: A numerical scheme for computing non-stationary spatially periodic
    capillary-gravitational waves is presented. The use of an equation for
    the curvature of a curve changing with time obtained in the present
    paper makes it very different from the existing methods of boundary
    integral equations. The method is very accurate and efficient. Test
    results are presented along with computations of the collapse of a wave
    as the depth changes and jet formation for large-amplitude oscillations
    of a liquid.
rv: