Steep Unsteady Water Waves and Boundary Integral Methods
Boundary-integral methods are the preferred method for modelling steep, unsteady water waves when they arc expected to break. The jet of water that forms as a wave starts to break can be modelled. Although the boundary-integral accounts for a major part of the computational running time, I shall intro-duce it as a minor part of the unsteady wave problem. Boundary-integrals are used for solving Laplace’s equation since water-waves propagating into still water are well described by inviscid irrotational fluid flow. That is the fluid velocity can be expressed as the gradient of a potential, ⌽, satisfying Laplace’s equation.
KeywordsSolitary Wave Boundary Element Method Breaking Wave Generalize Vortex Vortex Sheet
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