Interaction of a Non-Linear Gravity Wave with Shear Flows Containing a Vortex Layer
LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS
Pagination or Media Count:
CR-70water waves, two dimensional flow, vortices, shear stresses, equations of motion, partial differential equations, gravity, hydrostatic pressure, numerical analysis, graphics, shallow water, microbarometric wavesgravity wavesThe interaction of a large amplitude progressing wave with a piecewise linear shear flow is described. It is assumed that a gravity wave propagates over a horizontal bed into a region of uniform depth. In the undisturbed region ahead of the wave the velocity is at rest for a fixed distance from the bottom, then increases rapidly in a thin layer of constant but large vorticity to a uniform value which it retains up to the free surface. No restriction is placed on the magnitude of the disturbance, so the governing equations are non-linear. The only assumptions are those of classical shallow water theory, i.e., that the fluid is inviscid and that the hydrostatic pressure law may be used.
- Fluid Mechanics