Archive image from page 67 of Directional irregular wave kinematics (1998) Directional irregular wave kinematics directionalirreg00bark Year: 1998 60 water surface (77) MWL (z = 0) ?55 seabed Figure : Coordinate system used for 3-d method Three Dimensional Seas The development of the two dimensional LFI method was closely anchored to the very complete understanding of two dimensional steady waves. In contrast, the understanding of three dimensional wave fields is not nearly as complete. Much of the literature on three dimensional seas attempts to describe the motion through the use
Archive image from page 67 of Directional irregular wave kinematics (1998) Directional irregular wave kinematics directionalirreg00bark Year: 1998 60 water surface (77) MWL (z = 0) ?55 seabed Figure : Coordinate system used for 3-d method Three Dimensional Seas The development of the two dimensional LFI method was closely anchored to the very complete understanding of two dimensional steady waves. In contrast, the understanding of three dimensional wave fields is not nearly as complete. Much of the literature on three dimensional seas attempts to describe the motion through the use of a directional energy spectrum. Far less attention has been directed to the determination of the detailed kinematics of directional seas. Problem Formulation The governing equations for three dimensional gravity waves are a straightforward extension of those in two dimensions to include the third dimension. The flow is taken to be irrotational and incompressible, and thus the kinematics can be represented by a potential function, (b{x,y,z,t), in a Cartesian coordinate system (Fig. ), where: dcj) () dx dy dz u and V are the horizontal velocities in the x and y directions, and w is the vertical velocity.
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