The boundary value problems of water wave propagation in classic linear canal theory are completely reformulated in terms of the transport concepts of reflection and transmission of nonuniform canal segments and abrupt junctions. This results in a relatively efficient numerical approach to the problem of predicting water wave elevations in nonuniform canals subsequent to invasion by external waves at the ends of the canal. The present treatment rests on two key ideas. The first idea is to conceptually split the surface-wave elevation into two counter-flowing waves in such a way as to be valid even in the nonuniform portions of canals; these wave components are governed by a pair of coupled first order linear ordinary differential (the 'two-flow') equations equivalent to the original classic second order canal equation. The second idea is to decompose a canal into simple modules whose reflectance and transmittance properties are determined numerically or analytically from the two-flow equations. (Author Modified Abstract)

  • Availability:
  • Corporate Authors:

    Hawaii Institute of Geophysics

    /Hawaii University
    Honolulu, HI  United States 
  • Authors:
    • Preisendorfer, R W
  • Publication Date: 1972-7

Media Info

  • Pagination: 383 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00044710
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: NOAA-73022702
  • Contract Numbers: NSF-AG-253
  • Files: TRIS
  • Created Date: Jul 31 1973 12:00AM