Partial reflexion of water waves by non-uniform adverse currents

M. Stiassnie, G. Dagan

Research output: Contribution to journalArticlepeer-review


The propagation of linearized waves on a non-uniform slowly varying potential current is studied by converting the equations of flow into a Schrödinger ordinary differential equation in the complex plane. This equation, which is solved by the WKB method, indicates the existence of current barriers which allow partial energy transmission while reflecting the complementary part. The classical result of total transmission (Longuet-Higgins & Stewart 1961) as well as that of complete reflexion (Peregrine 1976) are recovered as limiting cases by the present, more general approach.

Original languageEnglish
Pages (from-to)119-129
Number of pages11
JournalJournal of Fluid Mechanics
Issue number1
StatePublished - May 1979


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