Numerical Problems in Gravity Wave Simulation
Abstract
The use of spectral collocation methods based upon Fourier/Chebyshev basis functions to simulate breaking of gravity waves are presented. Some fundamental numerical ingredients as boundary problems and truncation problems are discussed. Examples on how the difficulties can be met are given by applying numerical strategies to 2 and 3-D problems. A study of the 3-D nature of a breaking wave as a result of a wave - shear flow interaction is considered and the results are briefly compared with 2-D cases. The simulation of the 3-D breaking process demonstrates the importance of including the lateral dimension. The lateral instabilities appear to dominate the breaking process, dissolving the wave structures more efficient than occuring in 2-D simulations. This shows that a fully 3-D description is necessary to adequately model gravity wave breaking.
Keywords
Gravity Wave Gravity Wave Breaking Model Gravity Wave Hyper Viscosity Gravity Wave SimulationPreview
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