Accession Number : AD0722679

Title :   Ray Method Expansions for Surface and Internal Waves in Inhomogeneous Oceans of Variable Depth,

Corporate Author : DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

Personal Author(s) : Hector,D. ; Cohen,J. ; Bleistein,Norman

Report Date : APR 1971

Pagination or Media Count : 51

Abstract : A ray method formalism is developed for the analysis of surface and internal waves in an inhomogeneous ocean of variable depth. This method, deduces from the governing system of equations a system of first order ordinary differential equations, for the group lines (rays of the ray method) and the propagation of phase and amplitude on them. The dispersion relation for these waves arises as an eigen-condition on an eigenvalue problem involving an ordinary differential equation in the depth variable. The deduced equation for amplitude propagation has the interpretation of a statement of conservation of action. (Author)

Descriptors :   (*OCEAN WAVES, EQUATIONS OF MOTION), PROPAGATION, PARTIAL DIFFERENTIAL EQUATIONS, DISPERSION RELATIONS, FLOW FIELDS, MATHEMATICAL MODELS, ASYMPTOTIC SERIES, NUMERICAL INTEGRATION

Subject Categories : Physical and Dynamic Oceanography
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE