... paddle displacement order solution elevation Focused Wave Evolution in Intermediate Water Depth Using First and Second Order Wave Maker Theory V.Sriram1, T.Schlurmann1 and S. Schimmels2 1 Franzius-Institute for Hydraulic, Waterways and Coastal Engineering, Leibniz Universität Hannover, Hannover...

... approximation kinematic boundary condition coefficient wave height limitation wave profile artificial intelligence order solution upstream oil & gas An Analytical Approximation Solution for Fully NonLinear Progressive Water Waves JangRyong Shin, Myung-Ki Lee and Jehyouk Woo Basic Design Team I...

... third order solutions, the numerical model proposed by Lin et al. (2004) simulates the nonlinear waveform well around the critical limitations of the shallow water depth. Numerical experiments reveal that the wave heights of the higher harmonics decrease as a wave interacts with a following current...

... incident wave angle short-crested wave system wave profile water depth reservoir characterization wavelength intermediate water order solution upstream oil & gas equation approximation wave kinematic wave frequency boundary condition wave system Wave Kinematics of Short-Crested Waves...

... a series of multipole potentials, and Ogilvie (1963).expanded Dean's solution and derived the second-order time-independent force. circular cylinder interaction order solution reflection coefficient variation artificial intelligence amplitude cylinder computation chaplin boundary...

... (restoring) and hydrodynamic reactions. The hydrostatics are most strongly non-linear and are calculated using a hydrostatics omputer program. In order that the zeroth order solutions are expressed in terms of known analytic functions, the restoring 391 moment curve needs to be fit by a cubic polynomial...

... Diffraction due to a Vertical Structure with Arbitrary Section and Axisymmetric Structure Norimi Mizutani Nagoya University, Nagoya, Japan Takeshi Sanada Japan Port Consultants, Tokyo, Japan Koichiro lwata Nagoya University, Nagoya, Japan ABSTRACT The general form of the second order solution...

... such as return current due to mass transport, free waves generated by the wavemaker, can be observed. Far from the wavemaker a phase-shift appears due to third order nonlinearities which modify the wavelength of the first and second order solutions. As expected the third order model reduces this phase-shift...

... on a horizontal plane. A collocation method of matched eigenfunction expansion is also utilized to derive the linear relationships for the velocity potential and its normal derivative on the adjacent fluid regions. The numerical convergence of the second order solution is investigated and the validity...