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RISNumerical Computations for a Nonlinear Free Surface Problem in Shallow Water
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A finite-element method is developed to simulate a numerical towing tank, in the scope of potential theory. The exact nonlinear free-surface flow problem formulated in an initial/boundary value ...
Linear and Nonlinear Wave Models Based on Hamilton’s Principle and Stream-Function Theory: CMSE and IGN
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Recently, two wave models based on the stream-function theory have been derived from Hamilton’s principle for gravity waves. One is the irrotational Green–Naghdi (IGN) equation and the other is ...
A Strongly-Nonlinear Model for Water Waves in Water of Variable Depth—The Irrotational Green-Naghdi Model
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Recently, the authors have derived a new approximate model for the nonlinear water waves, the Irrotational Green-Naghdi (IGN) model. In this paper, we first derive the IGN equations applicable ...
Finite-Element Computation of Wave-Structure Interaction between Steep Stokes Waves and Vertical Cylinders
Publisher: American Society of Civil Engineers
Abstract: The diffraction of highly nonlinear Stokes waves by vertical cylinders of circular cross section is numerically simulated in the time domain. A finite-element method, based on Hamilton’s principle, is used to discretize ...