Final Stages of Wake Collapse in a Stratified Fluid,
INSTITUTE FOR DEFENSE ANALYSES ARLINGTON VA JASON DIV
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Wake collapse in a stratified fluid is studied in the linear approximation with particular attention to the late stages of its decay. For an infinite ocean with a constant Vaisala frequency, any smooth disturbance will eventually decay as the minus three halves power of t. An apparent discrepancy between this result and the work of Hartman and Lewis is traced to the sharp discontinuity in their initial conditions. The normal modes for a realistic problem with an ocean surface and bottom and a varying Vaisala frequency are treated by methods developed in potential scattering theory, and the results are then used to estimate the behavior of the disturbance at late times.
- Physical and Dynamic Oceanography
- Fluid Mechanics