Accession Number:

AD0744995

Title:

Stationary Gravity Waves on Non-Uniform Free Streams.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Peregrine,D. H.

Report Date:

1972-05-01

Pagination or Media Count:

33.0

Abstract:

Two-dimensional stationary gravity wave solutions are given for streams with various velocity profiles such that the velocity is zero at depth. Solutions are found by using linearized equations and it is noted that unlike most flows over a rigid boundary solutions may be found for all non-zero surface velocities. New finite-amplitude solutions are derived for a stream consisting of a thin surface jet. The waves may be very steep with rounded crests and are called shear waves. Physical examples are discussed. Author

Descriptors:

• (*TWO DIMENSIONAL FLOW
• EQUATIONS OF MOTION)
• DISPERSION RELATIONS
• PARTIAL DIFFERENTIAL EQUATIONS
• WATER WAVES
• INCOMPRESSIBLE FLOW
• NUMERICAL ANALYSIS

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE