Accession Number:

AD0780646

Title:

Ray Method for Surface Waves on Fluid of Variable Depth.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Shen,M. C.

Report Date:

1974-05-01

Pagination or Media Count:

36.0

Abstract:

The paper reports some recent developments in ray method for surface waves on fluid of variable depth. The linear ray method, which fails at a shoreline and a caustic, is improved by means of uniform asymptotic expansions. In the nonlinear ray method, an equation of the Korteweg-DeVries type is derived along a ray for fluid domains slowly varying in the directions and one direction. Author

Descriptors:

• *SURFACE WAVES
• *RAY TRACING
• APPROXIMATION(MATHEMATICS)
• SHORES
• EQUATIONS OF MOTION

Subject Categories:

• Physical and Dynamic Oceanography
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE