The Generation of Continental Shelf Waves by Alongshore Variations in Bottom Topography Public Deposited

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  • The effects of alongshore variations in bottom topography on wind-stress-forced barotropic motion over a continental shelf and slope are studied. An idealized channel model with a weakly sloping bottom and with small-amplitude alongshore variations in topography is utilized. Perturbation methods and numerical inversion of Fourier transforms are employed. The effect of a localized alongshore topographic disturbance is examined in the context of an initial-value problem, where a spatially uniform wind stress is applied at t = 0. The wind stress forces a basic unperturbed alongshore velocity V which is constant in space. Shelf waves are forced by the interaction of V with the topographic disturbance. Two types of time variation of the wind stress are considered, a Dirac delta function and a Heaviside unit function. These force, respectively, V = constant and V = tVₜ, where Vₜ = constant. The effect of the alongshore scale of the topographic feature is examined. For small scales, adjective effects of V are important and lee waves form in cases where V is in a direction opposite to the shelf wave phase velocity cₚ. Particular attention is paid to a study of the development of lee waves in the time-varying basic flow V = tVₜ. In that case, the type of lee waves generated depends on the magnitude of Vₜ and on the alongshore scale of the topographic disturbance. If Vₜ is small, a slowly varying lee wavetrain is developed with wavelengths corresponding to the value of V at the time of generation. Approximate analytical solutions are obtainable in this case. If Vₜ is large, lee waves with rapidly varying wavelengths are formed. These waves separate from the disturbance and are advected downstream when |V| > |cₚ|ₘₐₓ.
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  • Martell, C. M., J. S. Allen, 1979: The Generation of Continental Shelf Waves by Alongshore Variations in Bottom Topography. J. Phys. Oceanogr., 9, 696–711.
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  • description.provenance : Submitted by Deborah Campbell (deborah.campbell@oregonstate.edu) on 2012-01-26T17:14:09ZNo. of bitstreams: 1AllenJS.CEOAS.GeneratoinContinentalShelf.pdf: 1032779 bytes, checksum: bf00e082ed1c7187b638f94532d9e06e (MD5)
  • description.provenance : Made available in DSpace on 2012-01-26T17:14:09Z (GMT). No. of bitstreams: 1AllenJS.CEOAS.GeneratoinContinentalShelf.pdf: 1032779 bytes, checksum: bf00e082ed1c7187b638f94532d9e06e (MD5) Previous issue date: 1979-07

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