Accession Number:

ADA067856

Title:

On Head-on Collisions between two Solitary-Waves,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

• Su,C. H.
• Mirie,Rida M.

Report Date:

1979-04-01

Pagination or Media Count:

33.0

Abstract:

We consider a head-on collision between two solitary waves on the surface of an inviscid, homogeneous fluid. A perturbation method which in principle can generate an asymptotic series of all orders, is used to calculate the effects of the collision. We find that the waves emerging from i.e. long after the collision preserve their original identities to the third order of accuracy we have calculated. However a collision does leave imprints on the colliding waves with phase shifts and shedding of secondary waves. The latter propagate with diminishing amplitudes in the direction opposite to that of the main waves. We have also calculated the maximum run-up amplitude of two colliding waves. The result checks with existing experiments. Author

Descriptors:

• *WATER WAVES
• VELOCITY
• SURFACE WAVES
• EQUATIONS OF MOTION
• REFLECTION
• FLOW FIELDS
• APPROXIMATION(MATHEMATICS)
• ASYMPTOTIC SERIES
• PERTURBATION THEORY
• COLLISIONS
• PHASE SHIFT
• SECONDARY WAVES

Subject Categories:

• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE