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Diffraction of water wave for vertical cylinders. S. K. Kao 2008/01/29. Outline. Introductions Problem statement. Introductions. L. (. T. ). or. H. a. x. t. or. (. ). h. (. ). h. x. ,. t. L: wave length H: wave height a: amplitude T: wave period
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Diffraction of water wave for vertical cylinders S. K. Kao 2008/01/29
Outline • Introductions • Problem statement
Introductions L ( T ) or H a x t or ( ) h ( ) h x , t L: wave length H: wave height a: amplitude T: wave period : water surface elevation
Boundary conditions L (or T) z KFSBC DFSBC (x, y) H x (or t) LBC LBC h BBC Boundary value program specification for periodic water waves • Bottom boundary condition (BBC) • Lateral boundary condition (LBC) • Kinematic boundary condition at free surface (KFSBC) • Dynamic boundary condition (DFSBC)
Boundary conditions • BBC where is velocity potential • LBC • KFSBC • DFSBC
Seperation of variables > 0 = 0 < 0
Outline • Introductions • Problem statement