Accession Number : AD0738548

Title :   The Interaction of Large Amplitude Shallow Water Waves with an Ambient Shear Flow: Non-Critical Flows.

Descriptive Note : Technical rept.,

Corporate Author : LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s) : Blythe,P. A. ; Kazakia,Y. ; Varley,E.

Report Date : DEC 1971

Pagination or Media Count : 38

Abstract : An analysis is given of the behavior of a gravity wave moving over a horizontal bed into a region where the flow is sheared in a vertical direction. No restriction is placed on the amplitude of the wave. The only assumptions made are that the fluid is inviscid and that the hydrostatic pressure law holds. The results can be used to analyze the behavior of tsunamis and weather fronts. It is shown that even with an arbitrary ambient shear, the variation in height of the free surface in a long progressing wave can be similar to that in a simple wave except that the local wave speed depends on the shear profile. The interaction of such a wave with a uniform shear is described in detail. (Author)

Descriptors :   (*OCEAN WAVES, SHALLOW WATER), (*ATMOSPHERIC MOTION, BOUNDARY LAYER), BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, WAVE FUNCTIONS, APPROXIMATION(MATHEMATICS), AIR MASS ANALYSIS, INCOMPRESSIBLE FLOW, EQUATIONS OF MOTION

Subject Categories : Meteorology
      Physical and Dynamic Oceanography
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE