NDLI: Fully Nonlinear Energy Flux Calculations for Long-Crested Surface Waves

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Parsons, W. Baddour, R. E.
Copyright Year	2006
Abstract	We employ a fully nonlinear numerical model to generate and propagate long-crested gravity waves in a tank containing an incompressible invicid homogeneous fluid, initially at rest, with a horizontal free surface of finite extent and of finite depth. A non-orthogonal curvilinear coordinate system is constructed which follows the free surface and is “fitted” to the bottom topography of the tank and therefore tracks the entire fluid domain at all times. A waveform relaxation algorithm provides an efficient iterative method to solve the resulting discrete Laplace equation, and the full nonlinear kinematic and dynamic free surface boundary conditions are employed to propagate the solution. In addition, a monochromatic deterministic theoretical wave-maker, employing a Dirichlet type boundary condition, and a suitably tuned numerical beach are utilized in the numerical model. We first show that the model generates the appropriate dispersion relation for both the deep water and shallow water conditions. Subsequently, we calculate the energy and energy flux for small steepness waves and show that the model produces the expected linear results. We complete the paper by considering steeper waves where the linear results are suspect.
Sponsorship	Ocean, Offshore, and Arctic Engineering Division
Starting Page	363
Ending Page	371
Page Count	9
File Format	PDF
ISBN	0791847470
DOI	10.1115/OMAE2006-92289
e-ISBN	0791837777
Volume Number	Volume 2: Ocean Engineering and Polar and Arctic Sciences and Technology
Conference Proceedings	25th International Conference on Offshore Mechanics and Arctic Engineering
Language	English
Publisher Date	2006-06-04
Publisher Place	Hamburg, Germany
Access Restriction	Subscribed
Subject Keyword	Water Relaxation (physics) Laplace equations Surface waves (fluid) Computer simulation Dispersion relations Gravity (force) Waves Fluids Algorithms Kinematics Boundary-value problems Iterative methods
Content Type	Text
Resource Type	Article

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