On an approximation to the limiting Stokes wave in deep water

摘要: Abstract A simple but highly accurate approximation to the form and speed of a limiting Stokes wave in deep water was recently given by Rainey Longuet-Higgins [R.C.T. Rainey, M.S. Longuet-Higgins, close one-term highest on water, Ocean Eng. 33 (2006) 2012–2024]. An expression for corresponding velocity field interior fluid also suggested. Here this is examined numerically it shown that there no singularity interior, very weak at crest. The nature exhibited use property Stokes’s 120° corner-flow, namely q 2 / gr everywhere equal 1, where particle speed, g denotes gravity, r radial distance from